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['Wei Wen', 'Chunpeng Wu', 'Yandan Wang', 'Yiran Chen', 'Hai Li']
1608.03665v4
High demand for computation resources severely hinders deployment of large-scale Deep Neural Networks (DNN) in resource constrained devices. In this work, we propose a Structured Sparsity Learning (SSL) method to regularize the structures (i.e., filters, channels, filter shapes, and layer depth) of DNNs. SSL can: (1) learn a compact structure from a bigger DNN to reduce computation cost; (2) obtain a hardware-friendly structured sparsity of DNN to efficiently accelerate the DNNs evaluation. Experimental results show that SSL achieves on average 5.1x and 3.1x speedups of convolutional layer computation of AlexNet against CPU and GPU, respectively, with off-the-shelf libraries. These speedups are about twice speedups of non-structured sparsity; (3) regularize the DNN structure to improve classification accuracy. The results show that for CIFAR-10, regularization on layer depth can reduce 20 layers of a Deep Residual Network (ResNet) to 18 layers while improve the accuracy from 91.25% to 92.60%, which is still slightly higher than that of original ResNet with 32 layers. For AlexNet, structure regularization by SSL also reduces the error by around ~1%. Open source code is in https://github.com/wenwei202/caffe/tree/scnn
Learning Structured Sparsity in Deep Neural Networks
2,016
http://arxiv.org/pdf/1608.03665v4
Title Learning Structured Sparsity Deep Neural Networks Summary High demand computation resource severely hinders deployment largescale Deep Neural Networks DNN resource constrained device work propose Structured Sparsity Learning SSL method regularize structure ie filter channel filter shape layer depth DNNs SSL 1 learn compact structure bigger DNN reduce computation cost 2 obtain hardwarefriendly structured sparsity DNN efficiently accelerate DNNs evaluation Experimental result show SSL achieves average 51x 31x speedup convolutional layer computation AlexNet CPU GPU respectively offtheshelf library speedup twice speedup nonstructured sparsity 3 regularize DNN structure improve classification accuracy result show CIFAR10 regularization layer depth reduce 20 layer Deep Residual Network ResNet 18 layer improve accuracy 9125 9260 still slightly higher original ResNet 32 layer AlexNet structure regularization SSL also reduces error around 1 Open source code httpsgithubcomwenwei202caffetreescnn Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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901
901
['Itay Safran', 'Ohad Shamir']
1610.09887v2
We provide several new depth-based separation results for feed-forward neural networks, proving that various types of simple and natural functions can be better approximated using deeper networks than shallower ones, even if the shallower networks are much larger. This includes indicators of balls and ellipses; non-linear functions which are radial with respect to the $L_1$ norm; and smooth non-linear functions. We also show that these gaps can be observed experimentally: Increasing the depth indeed allows better learning than increasing width, when training neural networks to learn an indicator of a unit ball.
Depth-Width Tradeoffs in Approximating Natural Functions with Neural Networks
2,016
http://arxiv.org/pdf/1610.09887v2
Title DepthWidth Tradeoffs Approximating Natural Functions Neural Networks Summary provide several new depthbased separation result feedforward neural network proving various type simple natural function better approximated using deeper network shallower one even shallower network much larger includes indicator ball ellipsis nonlinear function radial respect L1 norm smooth nonlinear function also show gap observed experimentally Increasing depth indeed allows better learning increasing width training neural network learn indicator unit ball Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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902
902
['Chuan-Yung Tsai', 'Andrew Saxe', 'David Cox']
1610.10087v1
We present a novel neural network algorithm, the Tensor Switching (TS) network, which generalizes the Rectified Linear Unit (ReLU) nonlinearity to tensor-valued hidden units. The TS network copies its entire input vector to different locations in an expanded representation, with the location determined by its hidden unit activity. In this way, even a simple linear readout from the TS representation can implement a highly expressive deep-network-like function. The TS network hence avoids the vanishing gradient problem by construction, at the cost of larger representation size. We develop several methods to train the TS network, including equivalent kernels for infinitely wide and deep TS networks, a one-pass linear learning algorithm, and two backpropagation-inspired representation learning algorithms. Our experimental results demonstrate that the TS network is indeed more expressive and consistently learns faster than standard ReLU networks.
Tensor Switching Networks
2,016
http://arxiv.org/pdf/1610.10087v1
Title Tensor Switching Networks Summary present novel neural network algorithm Tensor Switching TS network generalizes Rectified Linear Unit ReLU nonlinearity tensorvalued hidden unit TS network copy entire input vector different location expanded representation location determined hidden unit activity way even simple linear readout TS representation implement highly expressive deepnetworklike function TS network hence avoids vanishing gradient problem construction cost larger representation size develop several method train TS network including equivalent kernel infinitely wide deep TS network onepass linear learning algorithm two backpropagationinspired representation learning algorithm experimental result demonstrate TS network indeed expressive consistently learns faster standard ReLU network Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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903
903
['Maithra Raghu', 'Ben Poole', 'Jon Kleinberg', 'Surya Ganguli', 'Jascha Sohl-Dickstein']
1611.08083v1
We survey results on neural network expressivity described in "On the Expressive Power of Deep Neural Networks". The paper motivates and develops three natural measures of expressiveness, which all display an exponential dependence on the depth of the network. In fact, all of these measures are related to a fourth quantity, trajectory length. This quantity grows exponentially in the depth of the network, and is responsible for the depth sensitivity observed. These results translate to consequences for networks during and after training. They suggest that parameters earlier in a network have greater influence on its expressive power -- in particular, given a layer, its influence on expressivity is determined by the remaining depth of the network after that layer. This is verified with experiments on MNIST and CIFAR-10. We also explore the effect of training on the input-output map, and find that it trades off between the stability and expressivity.
Survey of Expressivity in Deep Neural Networks
2,016
http://arxiv.org/pdf/1611.08083v1
Title Survey Expressivity Deep Neural Networks Summary survey result neural network expressivity described Expressive Power Deep Neural Networks paper motivates develops three natural measure expressiveness display exponential dependence depth network fact measure related fourth quantity trajectory length quantity grows exponentially depth network responsible depth sensitivity observed result translate consequence network training suggest parameter earlier network greater influence expressive power particular given layer influence expressivity determined remaining depth network layer verified experiment MNIST CIFAR10 also explore effect training inputoutput map find trade stability expressivity Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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904
904
['Zachary C. Lipton', 'Subarna Tripathi']
1702.04782v2
Generative adversarial networks (GANs) transform latent vectors into visually plausible images. It is generally thought that the original GAN formulation gives no out-of-the-box method to reverse the mapping, projecting images back into latent space. We introduce a simple, gradient-based technique called stochastic clipping. In experiments, for images generated by the GAN, we precisely recover their latent vector pre-images 100% of the time. Additional experiments demonstrate that this method is robust to noise. Finally, we show that even for unseen images, our method appears to recover unique encodings.
Precise Recovery of Latent Vectors from Generative Adversarial Networks
2,017
http://arxiv.org/pdf/1702.04782v2
Title Precise Recovery Latent Vectors Generative Adversarial Networks Summary Generative adversarial network GANs transform latent vector visually plausible image generally thought original GAN formulation give outofthebox method reverse mapping projecting image back latent space introduce simple gradientbased technique called stochastic clipping experiment image generated GAN precisely recover latent vector preimages 100 time Additional experiment demonstrate method robust noise Finally show even unseen image method appears recover unique encoding Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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905
905
['Nathan Ng', 'Rodney A Gabriel', 'Julian McAuley', 'Charles Elkan', 'Zachary C Lipton']
1702.05386v3
Scheduling surgeries is a challenging task due to the fundamental uncertainty of the clinical environment, as well as the risks and costs associated with under- and over-booking. We investigate neural regression algorithms to estimate the parameters of surgery case durations, focusing on the issue of heteroscedasticity. We seek to simultaneously estimate the duration of each surgery, as well as a surgery-specific notion of our uncertainty about its duration. Estimating this uncertainty can lead to more nuanced and effective scheduling strategies, as we are able to schedule surgeries more efficiently while allowing an informed and case-specific margin of error. Using surgery records %from the UC San Diego Health System, from a large United States health system we demonstrate potential improvements on the order of 20% (in terms of minutes overbooked) compared to current scheduling techniques. Moreover, we demonstrate that surgery durations are indeed heteroscedastic. We show that models that estimate case-specific uncertainty better fit the data (log likelihood). Additionally, we show that the heteroscedastic predictions can more optimally trade off between over and under-booking minutes, especially when idle minutes and scheduling collisions confer disparate costs.
Predicting Surgery Duration with Neural Heteroscedastic Regression
2,017
http://arxiv.org/pdf/1702.05386v3
Title Predicting Surgery Duration Neural Heteroscedastic Regression Summary Scheduling surgery challenging task due fundamental uncertainty clinical environment well risk cost associated overbooking investigate neural regression algorithm estimate parameter surgery case duration focusing issue heteroscedasticity seek simultaneously estimate duration surgery well surgeryspecific notion uncertainty duration Estimating uncertainty lead nuanced effective scheduling strategy able schedule surgery efficiently allowing informed casespecific margin error Using surgery record UC San Diego Health System large United States health system demonstrate potential improvement order 20 term minute overbooked compared current scheduling technique Moreover demonstrate surgery duration indeed heteroscedastic show model estimate casespecific uncertainty better fit data log likelihood Additionally show heteroscedastic prediction optimally trade underbooking minute especially idle minute scheduling collision confer disparate cost Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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906
906
['Haihao Lu', 'Kenji Kawaguchi']
1702.08580v2
In deep learning, \textit{depth}, as well as \textit{nonlinearity}, create non-convex loss surfaces. Then, does depth alone create bad local minima? In this paper, we prove that without nonlinearity, depth alone does not create bad local minima, although it induces non-convex loss surface. Using this insight, we greatly simplify a recently proposed proof to show that all of the local minima of feedforward deep linear neural networks are global minima. Our theoretical results generalize previous results with fewer assumptions, and this analysis provides a method to show similar results beyond square loss in deep linear models.
Depth Creates No Bad Local Minima
2,017
http://arxiv.org/pdf/1702.08580v2
Title Depth Creates Bad Local Minima Summary deep learning textitdepth well textitnonlinearity create nonconvex loss surface depth alone create bad local minimum paper prove without nonlinearity depth alone create bad local minimum although induces nonconvex loss surface Using insight greatly simplify recently proposed proof show local minimum feedforward deep linear neural network global minimum theoretical result generalize previous result fewer assumption analysis provides method show similar result beyond square loss deep linear model Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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907
907
['Kenji Kawaguchi', 'Bo Xie', 'Vikas Verma', 'Le Song']
1702.08882v7
We propose semi-random features for nonlinear function approximation. The flexibility of semi-random feature lies between the fully adjustable units in deep learning and the random features used in kernel methods. For one hidden layer models with semi-random features, we prove with no unrealistic assumptions that the model classes contain an arbitrarily good function as the width increases (universality), and despite non-convexity, we can find such a good function (optimization theory) that generalizes to unseen new data (generalization bound). For deep models, with no unrealistic assumptions, we prove universal approximation ability, a lower bound on approximation error, a partial optimization guarantee, and a generalization bound. Depending on the problems, the generalization bound of deep semi-random features can be exponentially better than the known bounds of deep ReLU nets; our generalization error bound can be independent of the depth, the number of trainable weights as well as the input dimensionality. In experiments, we show that semi-random features can match the performance of neural networks by using slightly more units, and it outperforms random features by using significantly fewer units. Moreover, we introduce a new implicit ensemble method by using semi-random features.
Deep Semi-Random Features for Nonlinear Function Approximation
2,017
http://arxiv.org/pdf/1702.08882v7
Title Deep SemiRandom Features Nonlinear Function Approximation Summary propose semirandom feature nonlinear function approximation flexibility semirandom feature lie fully adjustable unit deep learning random feature used kernel method one hidden layer model semirandom feature prove unrealistic assumption model class contain arbitrarily good function width increase universality despite nonconvexity find good function optimization theory generalizes unseen new data generalization bound deep model unrealistic assumption prove universal approximation ability lower bound approximation error partial optimization guarantee generalization bound Depending problem generalization bound deep semirandom feature exponentially better known bound deep ReLU net generalization error bound independent depth number trainable weight well input dimensionality experiment show semirandom feature match performance neural network using slightly unit outperforms random feature using significantly fewer unit Moreover introduce new implicit ensemble method using semirandom feature Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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908
908
['Pietro Morerio', 'Jacopo Cavazza', 'Riccardo Volpi', 'Rene Vidal', 'Vittorio Murino']
1703.06229v2
Dropout is a very effective way of regularizing neural networks. Stochastically "dropping out" units with a certain probability discourages over-specific co-adaptations of feature detectors, preventing overfitting and improving network generalization. Besides, Dropout can be interpreted as an approximate model aggregation technique, where an exponential number of smaller networks are averaged in order to get a more powerful ensemble. In this paper, we show that using a fixed dropout probability during training is a suboptimal choice. We thus propose a time scheduling for the probability of retaining neurons in the network. This induces an adaptive regularization scheme that smoothly increases the difficulty of the optimization problem. This idea of "starting easy" and adaptively increasing the difficulty of the learning problem has its roots in curriculum learning and allows one to train better models. Indeed, we prove that our optimization strategy implements a very general curriculum scheme, by gradually adding noise to both the input and intermediate feature representations within the network architecture. Experiments on seven image classification datasets and different network architectures show that our method, named Curriculum Dropout, frequently yields to better generalization and, at worst, performs just as well as the standard Dropout method.
Curriculum Dropout
2,017
http://arxiv.org/pdf/1703.06229v2
Title Curriculum Dropout Summary Dropout effective way regularizing neural network Stochastically dropping unit certain probability discourages overspecific coadaptations feature detector preventing overfitting improving network generalization Besides Dropout interpreted approximate model aggregation technique exponential number smaller network averaged order get powerful ensemble paper show using fixed dropout probability training suboptimal choice thus propose time scheduling probability retaining neuron network induces adaptive regularization scheme smoothly increase difficulty optimization problem idea starting easy adaptively increasing difficulty learning problem root curriculum learning allows one train better model Indeed prove optimization strategy implement general curriculum scheme gradually adding noise input intermediate feature representation within network architecture Experiments seven image classification datasets different network architecture show method named Curriculum Dropout frequently yield better generalization worst performs well standard Dropout method Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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909
909
['David Rolnick', 'Max Tegmark']
1705.05502v1
It is well-known that neural networks are universal approximators, but that deeper networks tend to be much more efficient than shallow ones. We shed light on this by proving that the total number of neurons $m$ required to approximate natural classes of multivariate polynomials of $n$ variables grows only linearly with $n$ for deep neural networks, but grows exponentially when merely a single hidden layer is allowed. We also provide evidence that when the number of hidden layers is increased from $1$ to $k$, the neuron requirement grows exponentially not with $n$ but with $n^{1/k}$, suggesting that the minimum number of layers required for computational tractability grows only logarithmically with $n$.
The power of deeper networks for expressing natural functions
2,017
http://arxiv.org/pdf/1705.05502v1
Title power deeper network expressing natural function Summary wellknown neural network universal approximators deeper network tend much efficient shallow one shed light proving total number neuron required approximate natural class multivariate polynomial n variable grows linearly n deep neural network grows exponentially merely single hidden layer allowed also provide evidence number hidden layer increased 1 k neuron requirement grows exponentially n n1k suggesting minimum number layer required computational tractability grows logarithmically n Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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910
910
['Dongsung Huh', 'Terrence J. Sejnowski']
1706.04698v2
Much of studies on neural computation are based on network models of static neurons that produce analog output, despite the fact that information processing in the brain is predominantly carried out by dynamic neurons that produce discrete pulses called spikes. Research in spike-based computation has been impeded by the lack of efficient supervised learning algorithm for spiking networks. Here, we present a gradient descent method for optimizing spiking network models by introducing a differentiable formulation of spiking networks and deriving the exact gradient calculation. For demonstration, we trained recurrent spiking networks on two dynamic tasks: one that requires optimizing fast (~millisecond) spike-based interactions for efficient encoding of information, and a delayed memory XOR task over extended duration (~second). The results show that our method indeed optimizes the spiking network dynamics on the time scale of individual spikes as well as behavioral time scales. In conclusion, our result offers a general purpose supervised learning algorithm for spiking neural networks, thus advancing further investigations on spike-based computation.
Gradient Descent for Spiking Neural Networks
2,017
http://arxiv.org/pdf/1706.04698v2
Title Gradient Descent Spiking Neural Networks Summary Much study neural computation based network model static neuron produce analog output despite fact information processing brain predominantly carried dynamic neuron produce discrete pulse called spike Research spikebased computation impeded lack efficient supervised learning algorithm spiking network present gradient descent method optimizing spiking network model introducing differentiable formulation spiking network deriving exact gradient calculation demonstration trained recurrent spiking network two dynamic task one requires optimizing fast millisecond spikebased interaction efficient encoding information delayed memory XOR task extended duration second result show method indeed optimizes spiking network dynamic time scale individual spike well behavioral time scale conclusion result offer general purpose supervised learning algorithm spiking neural network thus advancing investigation spikebased computation Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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911
911
['Ivo Gonçalves', 'Sara Silva', 'Carlos M. Fonseca', 'Mauro Castelli']
1706.06195v1
In iterative supervised learning algorithms it is common to reach a point in the search where no further induction seems to be possible with the available data. If the search is continued beyond this point, the risk of overfitting increases significantly. Following the recent developments in inductive semantic stochastic methods, this paper studies the feasibility of using information gathered from the semantic neighborhood to decide when to stop the search. Two semantic stopping criteria are proposed and experimentally assessed in Geometric Semantic Genetic Programming (GSGP) and in the Semantic Learning Machine (SLM) algorithm (the equivalent algorithm for neural networks). The experiments are performed on real-world high-dimensional regression datasets. The results show that the proposed semantic stopping criteria are able to detect stopping points that result in a competitive generalization for both GSGP and SLM. This approach also yields computationally efficient algorithms as it allows the evolution of neural networks in less than 3 seconds on average, and of GP trees in at most 10 seconds. The usage of the proposed semantic stopping criteria in conjunction with the computation of optimal mutation/learning steps also results in small trees and neural networks.
Unsure When to Stop? Ask Your Semantic Neighbors
2,017
http://arxiv.org/pdf/1706.06195v1
Title Unsure Stop Ask Semantic Neighbors Summary iterative supervised learning algorithm common reach point search induction seems possible available data search continued beyond point risk overfitting increase significantly Following recent development inductive semantic stochastic method paper study feasibility using information gathered semantic neighborhood decide stop search Two semantic stopping criterion proposed experimentally assessed Geometric Semantic Genetic Programming GSGP Semantic Learning Machine SLM algorithm equivalent algorithm neural network experiment performed realworld highdimensional regression datasets result show proposed semantic stopping criterion able detect stopping point result competitive generalization GSGP SLM approach also yield computationally efficient algorithm allows evolution neural network le 3 second average GP tree 10 second usage proposed semantic stopping criterion conjunction computation optimal mutationlearning step also result small tree neural network Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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912
912
['Daniel Hsu']
1708.02975v2
In this paper, we use variational recurrent neural network to investigate the anomaly detection problem on graph time series. The temporal correlation is modeled by the combination of recurrent neural network (RNN) and variational inference (VI), while the spatial information is captured by the graph convolutional network. In order to incorporate external factors, we use feature extractor to augment the transition of latent variables, which can learn the influence of external factors. With the target function as accumulative ELBO, it is easy to extend this model to on-line method. The experimental study on traffic flow data shows the detection capability of the proposed method.
Anomaly Detection on Graph Time Series
2,017
http://arxiv.org/pdf/1708.02975v2
Title Anomaly Detection Graph Time Series Summary paper use variational recurrent neural network investigate anomaly detection problem graph time series temporal correlation modeled combination recurrent neural network RNN variational inference VI spatial information captured graph convolutional network order incorporate external factor use feature extractor augment transition latent variable learn influence external factor target function accumulative ELBO easy extend model online method experimental study traffic flow data show detection capability proposed method Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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913
913
['Abien Fred Agarap']
1709.03082v7
Gated Recurrent Unit (GRU) is a recently-developed variation of the long short-term memory (LSTM) unit, both of which are types of recurrent neural network (RNN). Through empirical evidence, both models have been proven to be effective in a wide variety of machine learning tasks such as natural language processing (Wen et al., 2015), speech recognition (Chorowski et al., 2015), and text classification (Yang et al., 2016). Conventionally, like most neural networks, both of the aforementioned RNN variants employ the Softmax function as its final output layer for its prediction, and the cross-entropy function for computing its loss. In this paper, we present an amendment to this norm by introducing linear support vector machine (SVM) as the replacement for Softmax in the final output layer of a GRU model. Furthermore, the cross-entropy function shall be replaced with a margin-based function. While there have been similar studies (Alalshekmubarak & Smith, 2013; Tang, 2013), this proposal is primarily intended for binary classification on intrusion detection using the 2013 network traffic data from the honeypot systems of Kyoto University. Results show that the GRU-SVM model performs relatively higher than the conventional GRU-Softmax model. The proposed model reached a training accuracy of ~81.54% and a testing accuracy of ~84.15%, while the latter was able to reach a training accuracy of ~63.07% and a testing accuracy of ~70.75%. In addition, the juxtaposition of these two final output layers indicate that the SVM would outperform Softmax in prediction time - a theoretical implication which was supported by the actual training and testing time in the study.
A Neural Network Architecture Combining Gated Recurrent Unit (GRU) and Support Vector Machine (SVM) for Intrusion Detection in Network Traffic Data
2,017
http://arxiv.org/pdf/1709.03082v7
Title Neural Network Architecture Combining Gated Recurrent Unit GRU Support Vector Machine SVM Intrusion Detection Network Traffic Data Summary Gated Recurrent Unit GRU recentlydeveloped variation long shortterm memory LSTM unit type recurrent neural network RNN empirical evidence model proven effective wide variety machine learning task natural language processing Wen et al 2015 speech recognition Chorowski et al 2015 text classification Yang et al 2016 Conventionally like neural network aforementioned RNN variant employ Softmax function final output layer prediction crossentropy function computing loss paper present amendment norm introducing linear support vector machine SVM replacement Softmax final output layer GRU model Furthermore crossentropy function shall replaced marginbased function similar study Alalshekmubarak Smith 2013 Tang 2013 proposal primarily intended binary classification intrusion detection using 2013 network traffic data honeypot system Kyoto University Results show GRUSVM model performs relatively higher conventional GRUSoftmax model proposed model reached training accuracy 8154 testing accuracy 8415 latter able reach training accuracy 6307 testing accuracy 7075 addition juxtaposition two final output layer indicate SVM would outperform Softmax prediction time theoretical implication supported actual training testing time study Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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914
914
['Divya Gopinath', 'Guy Katz', 'Corina S. Pasareanu', 'Clark Barrett']
1710.00486v1
Deep neural networks have become widely used, obtaining remarkable results in domains such as computer vision, speech recognition, natural language processing, audio recognition, social network filtering, machine translation, and bio-informatics, where they have produced results comparable to human experts. However, these networks can be easily fooled by adversarial perturbations: minimal changes to correctly-classified inputs, that cause the network to mis-classify them. This phenomenon represents a concern for both safety and security, but it is currently unclear how to measure a network's robustness against such perturbations. Existing techniques are limited to checking robustness around a few individual input points, providing only very limited guarantees. We propose a novel approach for automatically identifying safe regions of the input space, within which the network is robust against adversarial perturbations. The approach is data-guided, relying on clustering to identify well-defined geometric regions as candidate safe regions. We then utilize verification techniques to confirm that these regions are safe or to provide counter-examples showing that they are not safe. We also introduce the notion of targeted robustness which, for a given target label and region, ensures that a NN does not map any input in the region to the target label. We evaluated our technique on the MNIST dataset and on a neural network implementation of a controller for the next-generation Airborne Collision Avoidance System for unmanned aircraft (ACAS Xu). For these networks, our approach identified multiple regions which were completely safe as well as some which were only safe for specific labels. It also discovered several adversarial perturbations of interest.
DeepSafe: A Data-driven Approach for Checking Adversarial Robustness in Neural Networks
2,017
http://arxiv.org/pdf/1710.00486v1
Title DeepSafe Datadriven Approach Checking Adversarial Robustness Neural Networks Summary Deep neural network become widely used obtaining remarkable result domain computer vision speech recognition natural language processing audio recognition social network filtering machine translation bioinformatics produced result comparable human expert However network easily fooled adversarial perturbation minimal change correctlyclassified input cause network misclassify phenomenon represents concern safety security currently unclear measure network robustness perturbation Existing technique limited checking robustness around individual input point providing limited guarantee propose novel approach automatically identifying safe region input space within network robust adversarial perturbation approach dataguided relying clustering identify welldefined geometric region candidate safe region utilize verification technique confirm region safe provide counterexample showing safe also introduce notion targeted robustness given target label region ensures NN map input region target label evaluated technique MNIST dataset neural network implementation controller nextgeneration Airborne Collision Avoidance System unmanned aircraft ACAS Xu network approach identified multiple region completely safe well safe specific label also discovered several adversarial perturbation interest Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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915
915
['Grzegorz Dudek']
1710.04874v1
Neural networks with random hidden nodes have gained increasing interest from researchers and practical applications. This is due to their unique features such as very fast training and universal approximation property. In these networks the weights and biases of hidden nodes determining the nonlinear feature mapping are set randomly and are not learned. Appropriate selection of the intervals from which weights and biases are selected is extremely important. This topic has not yet been sufficiently explored in the literature. In this work a method of generating random weights and biases is proposed. This method generates the parameters of the hidden nodes in such a way that nonlinear fragments of the activation functions are located in the input space regions with data and can be used to construct the surface approximating a nonlinear target function. The weights and biases are dependent on the input data range and activation function type. The proposed methods allows us to control the generalization degree of the model. These all lead to improvement in approximation performance of the network. Several experiments show very promising results.
A Method of Generating Random Weights and Biases in Feedforward Neural Networks with Random Hidden Nodes
2,017
http://arxiv.org/pdf/1710.04874v1
Title Method Generating Random Weights Biases Feedforward Neural Networks Random Hidden Nodes Summary Neural network random hidden node gained increasing interest researcher practical application due unique feature fast training universal approximation property network weight bias hidden node determining nonlinear feature mapping set randomly learned Appropriate selection interval weight bias selected extremely important topic yet sufficiently explored literature work method generating random weight bias proposed method generates parameter hidden node way nonlinear fragment activation function located input space region data used construct surface approximating nonlinear target function weight bias dependent input data range activation function type proposed method allows u control generalization degree model lead improvement approximation performance network Several experiment show promising result Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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916
916
['Rumen Dangovski', 'Li Jing', 'Marin Soljacic']
1710.09537v1
The concepts of unitary evolution matrices and associative memory have boosted the field of Recurrent Neural Networks (RNN) to state-of-the-art performance in a variety of sequential tasks. However, RNN still have a limited capacity to manipulate long-term memory. To bypass this weakness the most successful applications of RNN use external techniques such as attention mechanisms. In this paper we propose a novel RNN model that unifies the state-of-the-art approaches: Rotational Unit of Memory (RUM). The core of RUM is its rotational operation, which is, naturally, a unitary matrix, providing architectures with the power to learn long-term dependencies by overcoming the vanishing and exploding gradients problem. Moreover, the rotational unit also serves as associative memory. We evaluate our model on synthetic memorization, question answering and language modeling tasks. RUM learns the Copying Memory task completely and improves the state-of-the-art result in the Recall task. RUM's performance in the bAbI Question Answering task is comparable to that of models with attention mechanism. We also improve the state-of-the-art result to 1.189 bits-per-character (BPC) loss in the Character Level Penn Treebank (PTB) task, which is to signify the applications of RUM to real-world sequential data. The universality of our construction, at the core of RNN, establishes RUM as a promising approach to language modeling, speech recognition and machine translation.
Rotational Unit of Memory
2,017
http://arxiv.org/pdf/1710.09537v1
Title Rotational Unit Memory Summary concept unitary evolution matrix associative memory boosted field Recurrent Neural Networks RNN stateoftheart performance variety sequential task However RNN still limited capacity manipulate longterm memory bypass weakness successful application RNN use external technique attention mechanism paper propose novel RNN model unifies stateoftheart approach Rotational Unit Memory RUM core RUM rotational operation naturally unitary matrix providing architecture power learn longterm dependency overcoming vanishing exploding gradient problem Moreover rotational unit also serf associative memory evaluate model synthetic memorization question answering language modeling task RUM learns Copying Memory task completely improves stateoftheart result Recall task RUMs performance bAbI Question Answering task comparable model attention mechanism also improve stateoftheart result 1189 bitspercharacter BPC loss Character Level Penn Treebank PTB task signify application RUM realworld sequential data universality construction core RNN establishes RUM promising approach language modeling speech recognition machine translation Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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917
917
['Tero Karras', 'Timo Aila', 'Samuli Laine', 'Jaakko Lehtinen']
1710.10196v3
We describe a new training methodology for generative adversarial networks. The key idea is to grow both the generator and discriminator progressively: starting from a low resolution, we add new layers that model increasingly fine details as training progresses. This both speeds the training up and greatly stabilizes it, allowing us to produce images of unprecedented quality, e.g., CelebA images at 1024^2. We also propose a simple way to increase the variation in generated images, and achieve a record inception score of 8.80 in unsupervised CIFAR10. Additionally, we describe several implementation details that are important for discouraging unhealthy competition between the generator and discriminator. Finally, we suggest a new metric for evaluating GAN results, both in terms of image quality and variation. As an additional contribution, we construct a higher-quality version of the CelebA dataset.
Progressive Growing of GANs for Improved Quality, Stability, and Variation
2,017
http://arxiv.org/pdf/1710.10196v3
Title Progressive Growing GANs Improved Quality Stability Variation Summary describe new training methodology generative adversarial network key idea grow generator discriminator progressively starting low resolution add new layer model increasingly fine detail training progress speed training greatly stabilizes allowing u produce image unprecedented quality eg CelebA image 10242 also propose simple way increase variation generated image achieve record inception score 880 unsupervised CIFAR10 Additionally describe several implementation detail important discouraging unhealthy competition generator discriminator Finally suggest new metric evaluating GAN result term image quality variation additional contribution construct higherquality version CelebA dataset Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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918
918
['Cem Subakan', 'Paris Smaragdis']
1710.10779v1
Generative source separation methods such as non-negative matrix factorization (NMF) or auto-encoders, rely on the assumption of an output probability density. Generative Adversarial Networks (GANs) can learn data distributions without needing a parametric assumption on the output density. We show on a speech source separation experiment that, a multi-layer perceptron trained with a Wasserstein-GAN formulation outperforms NMF, auto-encoders trained with maximum likelihood, and variational auto-encoders in terms of source to distortion ratio.
Generative Adversarial Source Separation
2,017
http://arxiv.org/pdf/1710.10779v1
Title Generative Adversarial Source Separation Summary Generative source separation method nonnegative matrix factorization NMF autoencoders rely assumption output probability density Generative Adversarial Networks GANs learn data distribution without needing parametric assumption output density show speech source separation experiment multilayer perceptron trained WassersteinGAN formulation outperforms NMF autoencoders trained maximum likelihood variational autoencoders term source distortion ratio Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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919
919
['Yuan Zeng', 'Kevin Devincentis', 'Yao Xiao', 'Zubayer Ibne Ferdous', 'Xiaochen Guo', 'Zhiyuan Yan', 'Yevgeny Berdichevsky']
1710.10944v3
Neural networks have shown great potential in many applications like speech recognition, drug discovery, image classification, and object detection. Neural network models are inspired by biological neural networks, but they are optimized to perform machine learning tasks on digital computers. The proposed work explores the possibilities of using living neural networks in vitro as basic computational elements for machine learning applications. A new supervised STDP-based learning algorithm is proposed in this work, which considers neuron engineering constrains. A 74.7% accuracy is achieved on the MNIST benchmark for handwritten digit recognition.
A Supervised STDP-based Training Algorithm for Living Neural Networks
2,017
http://arxiv.org/pdf/1710.10944v3
Title Supervised STDPbased Training Algorithm Living Neural Networks Summary Neural network shown great potential many application like speech recognition drug discovery image classification object detection Neural network model inspired biological neural network optimized perform machine learning task digital computer proposed work explores possibility using living neural network vitro basic computational element machine learning application new supervised STDPbased learning algorithm proposed work considers neuron engineering constrains 747 accuracy achieved MNIST benchmark handwritten digit recognition Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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920
920
['John Alberg', 'Zachary C. Lipton']
1711.04837v1
On a periodic basis, publicly traded companies are required to report fundamentals: financial data such as revenue, operating income, debt, among others. These data points provide some insight into the financial health of a company. Academic research has identified some factors, i.e. computed features of the reported data, that are known through retrospective analysis to outperform the market average. Two popular factors are the book value normalized by market capitalization (book-to-market) and the operating income normalized by the enterprise value (EBIT/EV). In this paper: we first show through simulation that if we could (clairvoyantly) select stocks using factors calculated on future fundamentals (via oracle), then our portfolios would far outperform a standard factor approach. Motivated by this analysis, we train deep neural networks to forecast future fundamentals based on a trailing 5-years window. Quantitative analysis demonstrates a significant improvement in MSE over a naive strategy. Moreover, in retrospective analysis using an industry-grade stock portfolio simulator (backtester), we show an improvement in compounded annual return to 17.1% (MLP) vs 14.4% for a standard factor model.
Improving Factor-Based Quantitative Investing by Forecasting Company Fundamentals
2,017
http://arxiv.org/pdf/1711.04837v1
Title Improving FactorBased Quantitative Investing Forecasting Company Fundamentals Summary periodic basis publicly traded company required report fundamental financial data revenue operating income debt among others data point provide insight financial health company Academic research identified factor ie computed feature reported data known retrospective analysis outperform market average Two popular factor book value normalized market capitalization booktomarket operating income normalized enterprise value EBITEV paper first show simulation could clairvoyantly select stock using factor calculated future fundamental via oracle portfolio would far outperform standard factor approach Motivated analysis train deep neural network forecast future fundamental based trailing 5years window Quantitative analysis demonstrates significant improvement MSE naive strategy Moreover retrospective analysis using industrygrade stock portfolio simulator backtester show improvement compounded annual return 171 MLP v 144 standard factor model Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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921
921
['Eli David', 'Moshe Koppel', 'Nathan S. Netanyahu']
1711.06839v1
In this paper we demonstrate how genetic algorithms can be used to reverse engineer an evaluation function's parameters for computer chess. Our results show that using an appropriate mentor, we can evolve a program that is on par with top tournament-playing chess programs, outperforming a two-time World Computer Chess Champion. This performance gain is achieved by evolving a program with a smaller number of parameters in its evaluation function to mimic the behavior of a superior mentor which uses a more extensive evaluation function. In principle, our mentor-assisted approach could be used in a wide range of problems for which appropriate mentors are available.
Genetic Algorithms for Mentor-Assisted Evaluation Function Optimization
2,017
http://arxiv.org/pdf/1711.06839v1
Title Genetic Algorithms MentorAssisted Evaluation Function Optimization Summary paper demonstrate genetic algorithm used reverse engineer evaluation function parameter computer chess result show using appropriate mentor evolve program par top tournamentplaying chess program outperforming twotime World Computer Chess Champion performance gain achieved evolving program smaller number parameter evaluation function mimic behavior superior mentor us extensive evaluation function principle mentorassisted approach could used wide range problem appropriate mentor available Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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922
922
['Guglielmo Montone', "J. Kevin O'Regan", 'Alexander V. Terekhov']
1711.10204v1
In the present work we propose a Deep Feed Forward network architecture which can be trained according to a sequential learning paradigm, where tasks of increasing difficulty are learned sequentially, yet avoiding catastrophic forgetting. The proposed architecture can re-use the features learned on previous tasks in a new task when the old tasks and the new one are related. The architecture needs fewer computational resources (neurons and connections) and less data for learning the new task than a network trained from scratch
Block Neural Network Avoids Catastrophic Forgetting When Learning Multiple Task
2,017
http://arxiv.org/pdf/1711.10204v1
Title Block Neural Network Avoids Catastrophic Forgetting Learning Multiple Task Summary present work propose Deep Feed Forward network architecture trained according sequential learning paradigm task increasing difficulty learned sequentially yet avoiding catastrophic forgetting proposed architecture reuse feature learned previous task new task old task new one related architecture need fewer computational resource neuron connection le data learning new task network trained scratch Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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923
923
['Kyeong Soo Kim', 'Sanghyuk Lee', 'Kaizhu Huang']
1712.01990v1
One of the key technologies for future large-scale location-aware services covering a complex of multi-story buildings --- e.g., a big shopping mall and a university campus --- is a scalable indoor localization technique. In this paper, we report the current status of our investigation on the use of deep neural networks (DNNs) for scalable building/floor classification and floor-level position estimation based on Wi-Fi fingerprinting. Exploiting the hierarchical nature of the building/floor estimation and floor-level coordinates estimation of a location, we propose a new DNN architecture consisting of a stacked autoencoder for the reduction of feature space dimension and a feed-forward classifier for multi-label classification of building/floor/location, on which the multi-building and multi-floor indoor localization system based on Wi-Fi fingerprinting is built. Experimental results for the performance of building/floor estimation and floor-level coordinates estimation of a given location demonstrate the feasibility of the proposed DNN-based indoor localization system, which can provide near state-of-the-art performance using a single DNN, for the implementation with lower complexity and energy consumption at mobile devices.
A Scalable Deep Neural Network Architecture for Multi-Building and Multi-Floor Indoor Localization Based on Wi-Fi Fingerprinting
2,017
http://arxiv.org/pdf/1712.01990v1
Title Scalable Deep Neural Network Architecture MultiBuilding MultiFloor Indoor Localization Based WiFi Fingerprinting Summary One key technology future largescale locationaware service covering complex multistory building eg big shopping mall university campus scalable indoor localization technique paper report current status investigation use deep neural network DNNs scalable buildingfloor classification floorlevel position estimation based WiFi fingerprinting Exploiting hierarchical nature buildingfloor estimation floorlevel coordinate estimation location propose new DNN architecture consisting stacked autoencoder reduction feature space dimension feedforward classifier multilabel classification buildingfloorlocation multibuilding multifloor indoor localization system based WiFi fingerprinting built Experimental result performance buildingfloor estimation floorlevel coordinate estimation given location demonstrate feasibility proposed DNNbased indoor localization system provide near stateoftheart performance using single DNN implementation lower complexity energy consumption mobile device Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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924
924
['Rudy Raymond', 'Takayuki Osogami', 'Sakyasingha Dasgupta']
1712.06132v1
Dynamic Boltzmann Machine (DyBM) has been shown highly efficient to predict time-series data. Gaussian DyBM is a DyBM that assumes the predicted data is generated by a Gaussian distribution whose first-order moment (mean) dynamically changes over time but its second-order moment (variance) is fixed. However, in many financial applications, the assumption is quite limiting in two aspects. First, even when the data follows a Gaussian distribution, its variance may change over time. Such variance is also related to important temporal economic indicators such as the market volatility. Second, financial time-series data often requires learning datasets generated by the generalized Gaussian distribution with an additional shape parameter that is important to approximate heavy-tailed distributions. Addressing those aspects, we show how to extend DyBM that results in significant performance improvement in predicting financial time-series data.
Dynamic Boltzmann Machines for Second Order Moments and Generalized Gaussian Distributions
2,017
http://arxiv.org/pdf/1712.06132v1
Title Dynamic Boltzmann Machines Second Order Moments Generalized Gaussian Distributions Summary Dynamic Boltzmann Machine DyBM shown highly efficient predict timeseries data Gaussian DyBM DyBM assumes predicted data generated Gaussian distribution whose firstorder moment mean dynamically change time secondorder moment variance fixed However many financial application assumption quite limiting two aspect First even data follows Gaussian distribution variance may change time variance also related important temporal economic indicator market volatility Second financial timeseries data often requires learning datasets generated generalized Gaussian distribution additional shape parameter important approximate heavytailed distribution Addressing aspect show extend DyBM result significant performance improvement predicting financial timeseries data Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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925
925
['Marco Martinolli', 'Wulfram Gerstner', 'Aditya Gilra']
1712.10062v1
Learning and memory are intertwined in our brain and their relationship is at the core of several recent neural network models. In particular, the Attention-Gated MEmory Tagging model (AuGMEnT) is a reinforcement learning network with an emphasis on biological plausibility of memory dynamics and learning. We find that the AuGMEnT network does not solve some hierarchical tasks, where higher-level stimuli have to be maintained over a long time, while lower-level stimuli need to be remembered and forgotten over a shorter timescale. To overcome this limitation, we introduce hybrid AuGMEnT, with leaky or short-timescale and non-leaky or long-timescale units in memory, that allow to exchange lower-level information while maintaining higher-level one, thus solving both hierarchical and distractor tasks.
Multi-timescale memory dynamics in a reinforcement learning network with attention-gated memory
2,017
http://arxiv.org/pdf/1712.10062v1
Title Multitimescale memory dynamic reinforcement learning network attentiongated memory Summary Learning memory intertwined brain relationship core several recent neural network model particular AttentionGated MEmory Tagging model AuGMEnT reinforcement learning network emphasis biological plausibility memory dynamic learning find AuGMEnT network solve hierarchical task higherlevel stimulus maintained long time lowerlevel stimulus need remembered forgotten shorter timescale overcome limitation introduce hybrid AuGMEnT leaky shorttimescale nonleaky longtimescale unit memory allow exchange lowerlevel information maintaining higherlevel one thus solving hierarchical distractor task Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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['Enrique Romero Merino', 'Ferran Mazzanti Castrillejo', 'Jordi Delgado Pin', 'David Buchaca Prats']
1801.02567v1
Learning algorithms for energy based Boltzmann architectures that rely on gradient descent are in general computationally prohibitive, typically due to the exponential number of terms involved in computing the partition function. In this way one has to resort to approximation schemes for the evaluation of the gradient. This is the case of Restricted Boltzmann Machines (RBM) and its learning algorithm Contrastive Divergence (CD). It is well-known that CD has a number of shortcomings, and its approximation to the gradient has several drawbacks. Overcoming these defects has been the basis of much research and new algorithms have been devised, such as persistent CD. In this manuscript we propose a new algorithm that we call Weighted CD (WCD), built from small modifications of the negative phase in standard CD. However small these modifications may be, experimental work reported in this paper suggest that WCD provides a significant improvement over standard CD and persistent CD at a small additional computational cost.
Weighted Contrastive Divergence
2,018
http://arxiv.org/pdf/1801.02567v1
Title Weighted Contrastive Divergence Summary Learning algorithm energy based Boltzmann architecture rely gradient descent general computationally prohibitive typically due exponential number term involved computing partition function way one resort approximation scheme evaluation gradient case Restricted Boltzmann Machines RBM learning algorithm Contrastive Divergence CD wellknown CD number shortcoming approximation gradient several drawback Overcoming defect basis much research new algorithm devised persistent CD manuscript propose new algorithm call Weighted CD WCD built small modification negative phase standard CD However small modification may experimental work reported paper suggest WCD provides significant improvement standard CD persistent CD small additional computational cost Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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927
927
['Shinichi Shirakawa', 'Yasushi Iwata', 'Youhei Akimoto']
1801.07650v1
Deep neural networks (DNNs) are powerful machine learning models and have succeeded in various artificial intelligence tasks. Although various architectures and modules for the DNNs have been proposed, selecting and designing the appropriate network structure for a target problem is a challenging task. In this paper, we propose a method to simultaneously optimize the network structure and weight parameters during neural network training. We consider a probability distribution that generates network structures, and optimize the parameters of the distribution instead of directly optimizing the network structure. The proposed method can apply to the various network structure optimization problems under the same framework. We apply the proposed method to several structure optimization problems such as selection of layers, selection of unit types, and selection of connections using the MNIST, CIFAR-10, and CIFAR-100 datasets. The experimental results show that the proposed method can find the appropriate and competitive network structures.
Dynamic Optimization of Neural Network Structures Using Probabilistic Modeling
2,018
http://arxiv.org/pdf/1801.07650v1
Title Dynamic Optimization Neural Network Structures Using Probabilistic Modeling Summary Deep neural network DNNs powerful machine learning model succeeded various artificial intelligence task Although various architecture module DNNs proposed selecting designing appropriate network structure target problem challenging task paper propose method simultaneously optimize network structure weight parameter neural network training consider probability distribution generates network structure optimize parameter distribution instead directly optimizing network structure proposed method apply various network structure optimization problem framework apply proposed method several structure optimization problem selection layer selection unit type selection connection using MNIST CIFAR10 CIFAR100 datasets experimental result show proposed method find appropriate competitive network structure Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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['Mauro Castelli', 'Ivo Gonçalves', 'Luca Manzoni', 'Leonardo Vanneschi']
1801.07668v1
The objective of this paper is to define an effective strategy for building an ensemble of Genetic Programming (GP) models. Ensemble methods are widely used in machine learning due to their features: they average out biases, they reduce the variance and they usually generalize better than single models. Despite these advantages, building ensemble of GP models is not a well-developed topic in the evolutionary computation community. To fill this gap, we propose a strategy that blends individuals produced by standard syntax-based GP and individuals produced by geometric semantic genetic programming, one of the newest semantics-based method developed in GP. In fact, recent literature showed that combining syntax and semantics could improve the generalization ability of a GP model. Additionally, to improve the diversity of the GP models used to build up the ensemble, we propose different pruning criteria that are based on correlation and entropy, a commonly used measure in information theory. Experimental results,obtained over different complex problems, suggest that the pruning criteria based on correlation and entropy could be effective in improving the generalization ability of the ensemble model and in reducing the computational burden required to build it.
Pruning Techniques for Mixed Ensembles of Genetic Programming Models
2,018
http://arxiv.org/pdf/1801.07668v1
Title Pruning Techniques Mixed Ensembles Genetic Programming Models Summary objective paper define effective strategy building ensemble Genetic Programming GP model Ensemble method widely used machine learning due feature average bias reduce variance usually generalize better single model Despite advantage building ensemble GP model welldeveloped topic evolutionary computation community fill gap propose strategy blend individual produced standard syntaxbased GP individual produced geometric semantic genetic programming one newest semanticsbased method developed GP fact recent literature showed combining syntax semantics could improve generalization ability GP model Additionally improve diversity GP model used build ensemble propose different pruning criterion based correlation entropy commonly used measure information theory Experimental resultsobtained different complex problem suggest pruning criterion based correlation entropy could effective improving generalization ability ensemble model reducing computational burden required build Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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929
929
['Guillaume Desjardins', 'Razvan Pascanu', 'Aaron Courville', 'Yoshua Bengio']
1301.3545v2
This paper introduces the Metric-Free Natural Gradient (MFNG) algorithm for training Boltzmann Machines. Similar in spirit to the Hessian-Free method of Martens [8], our algorithm belongs to the family of truncated Newton methods and exploits an efficient matrix-vector product to avoid explicitely storing the natural gradient metric $L$. This metric is shown to be the expected second derivative of the log-partition function (under the model distribution), or equivalently, the variance of the vector of partial derivatives of the energy function. We evaluate our method on the task of joint-training a 3-layer Deep Boltzmann Machine and show that MFNG does indeed have faster per-epoch convergence compared to Stochastic Maximum Likelihood with centering, though wall-clock performance is currently not competitive.
Metric-Free Natural Gradient for Joint-Training of Boltzmann Machines
2,013
http://arxiv.org/pdf/1301.3545v2
Title MetricFree Natural Gradient JointTraining Boltzmann Machines Summary paper introduces MetricFree Natural Gradient MFNG algorithm training Boltzmann Machines Similar spirit HessianFree method Martens 8 algorithm belongs family truncated Newton method exploit efficient matrixvector product avoid explicitely storing natural gradient metric L metric shown expected second derivative logpartition function model distribution equivalently variance vector partial derivative energy function evaluate method task jointtraining 3layer Deep Boltzmann Machine show MFNG indeed faster perepoch convergence compared Stochastic Maximum Likelihood centering though wallclock performance currently competitive Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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930
930
['Matthew D. Zeiler', 'Rob Fergus']
1301.3557v1
We introduce a simple and effective method for regularizing large convolutional neural networks. We replace the conventional deterministic pooling operations with a stochastic procedure, randomly picking the activation within each pooling region according to a multinomial distribution, given by the activities within the pooling region. The approach is hyper-parameter free and can be combined with other regularization approaches, such as dropout and data augmentation. We achieve state-of-the-art performance on four image datasets, relative to other approaches that do not utilize data augmentation.
Stochastic Pooling for Regularization of Deep Convolutional Neural Networks
2,013
http://arxiv.org/pdf/1301.3557v1
Title Stochastic Pooling Regularization Deep Convolutional Neural Networks Summary introduce simple effective method regularizing large convolutional neural network replace conventional deterministic pooling operation stochastic procedure randomly picking activation within pooling region according multinomial distribution given activity within pooling region approach hyperparameter free combined regularization approach dropout data augmentation achieve stateoftheart performance four image datasets relative approach utilize data augmentation Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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931
931
['Ryan Kiros']
1301.3641v3
Hessian-free (HF) optimization has been successfully used for training deep autoencoders and recurrent networks. HF uses the conjugate gradient algorithm to construct update directions through curvature-vector products that can be computed on the same order of time as gradients. In this paper we exploit this property and study stochastic HF with gradient and curvature mini-batches independent of the dataset size. We modify Martens' HF for these settings and integrate dropout, a method for preventing co-adaptation of feature detectors, to guard against overfitting. Stochastic Hessian-free optimization gives an intermediary between SGD and HF that achieves competitive performance on both classification and deep autoencoder experiments.
Training Neural Networks with Stochastic Hessian-Free Optimization
2,013
http://arxiv.org/pdf/1301.3641v3
Title Training Neural Networks Stochastic HessianFree Optimization Summary Hessianfree HF optimization successfully used training deep autoencoders recurrent network HF us conjugate gradient algorithm construct update direction curvaturevector product computed order time gradient paper exploit property study stochastic HF gradient curvature minibatches independent dataset size modify Martens HF setting integrate dropout method preventing coadaptation feature detector guard overfitting Stochastic Hessianfree optimization give intermediary SGD HF achieves competitive performance classification deep autoencoder experiment Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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932
932
['Christophe Andrieu', 'Nando de Freitas', 'Arnaud Doucet']
1301.3833v1
We propose a novel reversible jump Markov chain Monte Carlo (MCMC) simulated annealing algorithm to optimize radial basis function (RBF) networks. This algorithm enables us to maximize the joint posterior distribution of the network parameters and the number of basis functions. It performs a global search in the joint space of the parameters and number of parameters, thereby surmounting the problem of local minima. We also show that by calibrating a Bayesian model, we can obtain the classical AIC, BIC and MDL model selection criteria within a penalized likelihood framework. Finally, we show theoretically and empirically that the algorithm converges to the modes of the full posterior distribution in an efficient way.
Reversible Jump MCMC Simulated Annealing for Neural Networks
2,013
http://arxiv.org/pdf/1301.3833v1
Title Reversible Jump MCMC Simulated Annealing Neural Networks Summary propose novel reversible jump Markov chain Monte Carlo MCMC simulated annealing algorithm optimize radial basis function RBF network algorithm enables u maximize joint posterior distribution network parameter number basis function performs global search joint space parameter number parameter thereby surmounting problem local minimum also show calibrating Bayesian model obtain classical AIC BIC MDL model selection criterion within penalized likelihood framework Finally show theoretically empirically algorithm converges mode full posterior distribution efficient way Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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933
933
['Misha Denil', 'Babak Shakibi', 'Laurent Dinh', "Marc'Aurelio Ranzato", 'Nando de Freitas']
1306.0543v2
We demonstrate that there is significant redundancy in the parameterization of several deep learning models. Given only a few weight values for each feature it is possible to accurately predict the remaining values. Moreover, we show that not only can the parameter values be predicted, but many of them need not be learned at all. We train several different architectures by learning only a small number of weights and predicting the rest. In the best case we are able to predict more than 95% of the weights of a network without any drop in accuracy.
Predicting Parameters in Deep Learning
2,013
http://arxiv.org/pdf/1306.0543v2
Title Predicting Parameters Deep Learning Summary demonstrate significant redundancy parameterization several deep learning model Given weight value feature possible accurately predict remaining value Moreover show parameter value predicted many need learned train several different architecture learning small number weight predicting rest best case able predict 95 weight network without drop accuracy Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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934
934
['Guillaume Desjardins', 'Aaron Courville', 'Yoshua Bengio']
1210.5474v1
Here we propose a novel model family with the objective of learning to disentangle the factors of variation in data. Our approach is based on the spike-and-slab restricted Boltzmann machine which we generalize to include higher-order interactions among multiple latent variables. Seen from a generative perspective, the multiplicative interactions emulates the entangling of factors of variation. Inference in the model can be seen as disentangling these generative factors. Unlike previous attempts at disentangling latent factors, the proposed model is trained using no supervised information regarding the latent factors. We apply our model to the task of facial expression classification.
Disentangling Factors of Variation via Generative Entangling
2,012
http://arxiv.org/pdf/1210.5474v1
Title Disentangling Factors Variation via Generative Entangling Summary propose novel model family objective learning disentangle factor variation data approach based spikeandslab restricted Boltzmann machine generalize include higherorder interaction among multiple latent variable Seen generative perspective multiplicative interaction emulates entangling factor variation Inference model seen disentangling generative factor Unlike previous attempt disentangling latent factor proposed model trained using supervised information regarding latent factor apply model task facial expression classification Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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935
935
['Marie Cottrell', 'Madalina Olteanu', 'Fabrice Rossi', 'Joseph Rynkiewicz', 'Nathalie Villa-Vialaneix']
1210.6511v1
Artificial neural networks are simple and efficient machine learning tools. Defined originally in the traditional setting of simple vector data, neural network models have evolved to address more and more difficulties of complex real world problems, ranging from time evolving data to sophisticated data structures such as graphs and functions. This paper summarizes advances on those themes from the last decade, with a focus on results obtained by members of the SAMM team of Universit\'e Paris 1
Neural Networks for Complex Data
2,012
http://arxiv.org/pdf/1210.6511v1
Title Neural Networks Complex Data Summary Artificial neural network simple efficient machine learning tool Defined originally traditional setting simple vector data neural network model evolved address difficulty complex real world problem ranging time evolving data sophisticated data structure graph function paper summarizes advance theme last decade focus result obtained member SAMM team Universite Paris 1 Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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936
936
['George E. Dahl', 'Navdeep Jaitly', 'Ruslan Salakhutdinov']
1406.1231v1
Although artificial neural networks have occasionally been used for Quantitative Structure-Activity/Property Relationship (QSAR/QSPR) studies in the past, the literature has of late been dominated by other machine learning techniques such as random forests. However, a variety of new neural net techniques along with successful applications in other domains have renewed interest in network approaches. In this work, inspired by the winning team's use of neural networks in a recent QSAR competition, we used an artificial neural network to learn a function that predicts activities of compounds for multiple assays at the same time. We conducted experiments leveraging recent methods for dealing with overfitting in neural networks as well as other tricks from the neural networks literature. We compared our methods to alternative methods reported to perform well on these tasks and found that our neural net methods provided superior performance.
Multi-task Neural Networks for QSAR Predictions
2,014
http://arxiv.org/pdf/1406.1231v1
Title Multitask Neural Networks QSAR Predictions Summary Although artificial neural network occasionally used Quantitative StructureActivityProperty Relationship QSARQSPR study past literature late dominated machine learning technique random forest However variety new neural net technique along successful application domain renewed interest network approach work inspired winning team use neural network recent QSAR competition used artificial neural network learn function predicts activity compound multiple assay time conducted experiment leveraging recent method dealing overfitting neural network well trick neural network literature compared method alternative method reported perform well task found neural net method provided superior performance Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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937
937
['Michael R. Smith', 'Tony Martinez', 'Michael Gashler']
1406.2235v1
Collaborative filtering is used to recommend items to a user without requiring a knowledge of the item itself and tends to outperform other techniques. However, collaborative filtering suffers from the cold-start problem, which occurs when an item has not yet been rated or a user has not rated any items. Incorporating additional information, such as item or user descriptions, into collaborative filtering can address the cold-start problem. In this paper, we present a neural network model with latent input variables (latent neural network or LNN) as a hybrid collaborative filtering technique that addresses the cold-start problem. LNN outperforms a broad selection of content-based filters (which make recommendations based on item descriptions) and other hybrid approaches while maintaining the accuracy of state-of-the-art collaborative filtering techniques.
A Hybrid Latent Variable Neural Network Model for Item Recommendation
2,014
http://arxiv.org/pdf/1406.2235v1
Title Hybrid Latent Variable Neural Network Model Item Recommendation Summary Collaborative filtering used recommend item user without requiring knowledge item tends outperform technique However collaborative filtering suffers coldstart problem occurs item yet rated user rated item Incorporating additional information item user description collaborative filtering address coldstart problem paper present neural network model latent input variable latent neural network LNN hybrid collaborative filtering technique address coldstart problem LNN outperforms broad selection contentbased filter make recommendation based item description hybrid approach maintaining accuracy stateoftheart collaborative filtering technique Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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938
938
['Tapani Raiko', 'Mathias Berglund', 'Guillaume Alain', 'Laurent Dinh']
1406.2989v3
Stochastic binary hidden units in a multi-layer perceptron (MLP) network give at least three potential benefits when compared to deterministic MLP networks. (1) They allow to learn one-to-many type of mappings. (2) They can be used in structured prediction problems, where modeling the internal structure of the output is important. (3) Stochasticity has been shown to be an excellent regularizer, which makes generalization performance potentially better in general. However, training stochastic networks is considerably more difficult. We study training using M samples of hidden activations per input. We show that the case M=1 leads to a fundamentally different behavior where the network tries to avoid stochasticity. We propose two new estimators for the training gradient and propose benchmark tests for comparing training algorithms. Our experiments confirm that training stochastic networks is difficult and show that the proposed two estimators perform favorably among all the five known estimators.
Techniques for Learning Binary Stochastic Feedforward Neural Networks
2,014
http://arxiv.org/pdf/1406.2989v3
Title Techniques Learning Binary Stochastic Feedforward Neural Networks Summary Stochastic binary hidden unit multilayer perceptron MLP network give least three potential benefit compared deterministic MLP network 1 allow learn onetomany type mapping 2 used structured prediction problem modeling internal structure output important 3 Stochasticity shown excellent regularizer make generalization performance potentially better general However training stochastic network considerably difficult study training using sample hidden activation per input show case M1 lead fundamentally different behavior network try avoid stochasticity propose two new estimator training gradient propose benchmark test comparing training algorithm experiment confirm training stochastic network difficult show proposed two estimator perform favorably among five known estimator Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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939
939
['Philip de Chazal', 'Jonathan Tapson', 'André van Schaik']
1406.3100v1
We present an alternative to the pseudo-inverse method for determining the hidden to output weight values for Extreme Learning Machines performing classification tasks. The method is based on linear discriminant analysis and provides Bayes optimal single point estimates for the weight values.
Learning ELM network weights using linear discriminant analysis
2,014
http://arxiv.org/pdf/1406.3100v1
Title Learning ELM network weight using linear discriminant analysis Summary present alternative pseudoinverse method determining hidden output weight value Extreme Learning Machines performing classification task method based linear discriminant analysis provides Bayes optimal single point estimate weight value Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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940
940
['Kyunghyun Cho', 'Yoshua Bengio']
1406.7362v1
Many state-of-the-art results obtained with deep networks are achieved with the largest models that could be trained, and if more computation power was available, we might be able to exploit much larger datasets in order to improve generalization ability. Whereas in learning algorithms such as decision trees the ratio of capacity (e.g., the number of parameters) to computation is very favorable (up to exponentially more parameters than computation), the ratio is essentially 1 for deep neural networks. Conditional computation has been proposed as a way to increase the capacity of a deep neural network without increasing the amount of computation required, by activating some parameters and computation "on-demand", on a per-example basis. In this note, we propose a novel parametrization of weight matrices in neural networks which has the potential to increase up to exponentially the ratio of the number of parameters to computation. The proposed approach is based on turning on some parameters (weight matrices) when specific bit patterns of hidden unit activations are obtained. In order to better control for the overfitting that might result, we propose a parametrization that is tree-structured, where each node of the tree corresponds to a prefix of a sequence of sign bits, or gating units, associated with hidden units.
Exponentially Increasing the Capacity-to-Computation Ratio for Conditional Computation in Deep Learning
2,014
http://arxiv.org/pdf/1406.7362v1
Title Exponentially Increasing CapacitytoComputation Ratio Conditional Computation Deep Learning Summary Many stateoftheart result obtained deep network achieved largest model could trained computation power available might able exploit much larger datasets order improve generalization ability Whereas learning algorithm decision tree ratio capacity eg number parameter computation favorable exponentially parameter computation ratio essentially 1 deep neural network Conditional computation proposed way increase capacity deep neural network without increasing amount computation required activating parameter computation ondemand perexample basis note propose novel parametrization weight matrix neural network potential increase exponentially ratio number parameter computation proposed approach based turning parameter weight matrix specific bit pattern hidden unit activation obtained order better control overfitting might result propose parametrization treestructured node tree corresponds prefix sequence sign bit gating unit associated hidden unit Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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941
941
['Taichi Kiwaki']
1505.02462v3
We present a layered Boltzmann machine (BM) that can better exploit the advantages of a distributed representation. It is widely believed that deep BMs (DBMs) have far greater representational power than its shallow counterpart, restricted Boltzmann machines (RBMs). However, this expectation on the supremacy of DBMs over RBMs has not ever been validated in a theoretical fashion. In this paper, we provide both theoretical and empirical evidences that the representational power of DBMs can be actually rather limited in taking advantages of distributed representations. We propose an approximate measure for the representational power of a BM regarding to the efficiency of a distributed representation. With this measure, we show a surprising fact that DBMs can make inefficient use of distributed representations. Based on these observations, we propose an alternative BM architecture, which we dub soft-deep BMs (sDBMs). We show that sDBMs can more efficiently exploit the distributed representations in terms of the measure. Experiments demonstrate that sDBMs outperform several state-of-the-art models, including DBMs, in generative tasks on binarized MNIST and Caltech-101 silhouettes.
Soft-Deep Boltzmann Machines
2,015
http://arxiv.org/pdf/1505.02462v3
Title SoftDeep Boltzmann Machines Summary present layered Boltzmann machine BM better exploit advantage distributed representation widely believed deep BMs DBMs far greater representational power shallow counterpart restricted Boltzmann machine RBMs However expectation supremacy DBMs RBMs ever validated theoretical fashion paper provide theoretical empirical evidence representational power DBMs actually rather limited taking advantage distributed representation propose approximate measure representational power BM regarding efficiency distributed representation measure show surprising fact DBMs make inefficient use distributed representation Based observation propose alternative BM architecture dub softdeep BMs sDBMs show sDBMs efficiently exploit distributed representation term measure Experiments demonstrate sDBMs outperform several stateoftheart model including DBMs generative task binarized MNIST Caltech101 silhouette Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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942
942
['Yaroslav Ganin', 'Evgeniya Ustinova', 'Hana Ajakan', 'Pascal Germain', 'Hugo Larochelle', 'François Laviolette', 'Mario Marchand', 'Victor Lempitsky']
1505.07818v4
We introduce a new representation learning approach for domain adaptation, in which data at training and test time come from similar but different distributions. Our approach is directly inspired by the theory on domain adaptation suggesting that, for effective domain transfer to be achieved, predictions must be made based on features that cannot discriminate between the training (source) and test (target) domains. The approach implements this idea in the context of neural network architectures that are trained on labeled data from the source domain and unlabeled data from the target domain (no labeled target-domain data is necessary). As the training progresses, the approach promotes the emergence of features that are (i) discriminative for the main learning task on the source domain and (ii) indiscriminate with respect to the shift between the domains. We show that this adaptation behaviour can be achieved in almost any feed-forward model by augmenting it with few standard layers and a new gradient reversal layer. The resulting augmented architecture can be trained using standard backpropagation and stochastic gradient descent, and can thus be implemented with little effort using any of the deep learning packages. We demonstrate the success of our approach for two distinct classification problems (document sentiment analysis and image classification), where state-of-the-art domain adaptation performance on standard benchmarks is achieved. We also validate the approach for descriptor learning task in the context of person re-identification application.
Domain-Adversarial Training of Neural Networks
2,015
http://arxiv.org/pdf/1505.07818v4
Title DomainAdversarial Training Neural Networks Summary introduce new representation learning approach domain adaptation data training test time come similar different distribution approach directly inspired theory domain adaptation suggesting effective domain transfer achieved prediction must made based feature cannot discriminate training source test target domain approach implement idea context neural network architecture trained labeled data source domain unlabeled data target domain labeled targetdomain data necessary training progress approach promotes emergence feature discriminative main learning task source domain ii indiscriminate respect shift domain show adaptation behaviour achieved almost feedforward model augmenting standard layer new gradient reversal layer resulting augmented architecture trained using standard backpropagation stochastic gradient descent thus implemented little effort using deep learning package demonstrate success approach two distinct classification problem document sentiment analysis image classification stateoftheart domain adaptation performance standard benchmark achieved also validate approach descriptor learning task context person reidentification application Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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943
943
['David Balduzzi']
1604.01952v1
Methods from convex optimization are widely used as building blocks for deep learning algorithms. However, the reasons for their empirical success are unclear, since modern convolutional networks (convnets), incorporating rectifier units and max-pooling, are neither smooth nor convex. Standard guarantees therefore do not apply. This paper provides the first convergence rates for gradient descent on rectifier convnets. The proof utilizes the particular structure of rectifier networks which consists in binary active/inactive gates applied on top of an underlying linear network. The approach generalizes to max-pooling, dropout and maxout. In other words, to precisely the neural networks that perform best empirically. The key step is to introduce gated games, an extension of convex games with similar convergence properties that capture the gating function of rectifiers. The main result is that rectifier convnets converge to a critical point at a rate controlled by the gated-regret of the units in the network. Corollaries of the main result include: (i) a game-theoretic description of the representations learned by a neural network; (ii) a logarithmic-regret algorithm for training neural nets; and (iii) a formal setting for analyzing conditional computation in neural nets that can be applied to recently developed models of attention.
Deep Online Convex Optimization with Gated Games
2,016
http://arxiv.org/pdf/1604.01952v1
Title Deep Online Convex Optimization Gated Games Summary Methods convex optimization widely used building block deep learning algorithm However reason empirical success unclear since modern convolutional network convnets incorporating rectifier unit maxpooling neither smooth convex Standard guarantee therefore apply paper provides first convergence rate gradient descent rectifier convnets proof utilizes particular structure rectifier network consists binary activeinactive gate applied top underlying linear network approach generalizes maxpooling dropout maxout word precisely neural network perform best empirically key step introduce gated game extension convex game similar convergence property capture gating function rectifier main result rectifier convnets converge critical point rate controlled gatedregret unit network Corollaries main result include gametheoretic description representation learned neural network ii logarithmicregret algorithm training neural net iii formal setting analyzing conditional computation neural net applied recently developed model attention Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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944
944
['Artit Wangperawong', 'Cyrille Brun', 'Olav Laudy', 'Rujikorn Pavasuthipaisit']
1604.05377v1
Customer temporal behavioral data was represented as images in order to perform churn prediction by leveraging deep learning architectures prominent in image classification. Supervised learning was performed on labeled data of over 6 million customers using deep convolutional neural networks, which achieved an AUC of 0.743 on the test dataset using no more than 12 temporal features for each customer. Unsupervised learning was conducted using autoencoders to better understand the reasons for customer churn. Images that maximally activate the hidden units of an autoencoder trained with churned customers reveal ample opportunities for action to be taken to prevent churn among strong data, no voice users.
Churn analysis using deep convolutional neural networks and autoencoders
2,016
http://arxiv.org/pdf/1604.05377v1
Title Churn analysis using deep convolutional neural network autoencoders Summary Customer temporal behavioral data represented image order perform churn prediction leveraging deep learning architecture prominent image classification Supervised learning performed labeled data 6 million customer using deep convolutional neural network achieved AUC 0743 test dataset using 12 temporal feature customer Unsupervised learning conducted using autoencoders better understand reason customer churn Images maximally activate hidden unit autoencoder trained churned customer reveal ample opportunity action taken prevent churn among strong data voice user Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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945
945
['Chee Chun Gan', 'Gerard Learmonth']
1604.06730v1
ICU mortality scoring systems attempt to predict patient mortality using predictive models with various clinical predictors. Examples of such systems are APACHE, SAPS and MPM. However, most such scoring systems do not actively look for and include interaction terms, despite physicians intuitively taking such interactions into account when making a diagnosis. One barrier to including such terms in predictive models is the difficulty of using most variable selection methods in high-dimensional datasets. A genetic algorithm framework for variable selection with logistic regression models is used to search for two-way interaction terms in a clinical dataset of adult ICU patients, with separate models being built for each category of diagnosis upon admittance to the ICU. The models had good discrimination across all categories, with a weighted average AUC of 0.84 (>0.90 for several categories) and the genetic algorithm was able to find several significant interaction terms, which may be able to provide greater insight into mortality prediction for health practitioners. The GA selected models had improved performance against stepwise selection and random forest models, and provides greater flexibility in terms of variable selection by being able to optimize over any modeler-defined model performance metric instead of a specific variable importance metric.
Developing an ICU scoring system with interaction terms using a genetic algorithm
2,016
http://arxiv.org/pdf/1604.06730v1
Title Developing ICU scoring system interaction term using genetic algorithm Summary ICU mortality scoring system attempt predict patient mortality using predictive model various clinical predictor Examples system APACHE SAPS MPM However scoring system actively look include interaction term despite physician intuitively taking interaction account making diagnosis One barrier including term predictive model difficulty using variable selection method highdimensional datasets genetic algorithm framework variable selection logistic regression model used search twoway interaction term clinical dataset adult ICU patient separate model built category diagnosis upon admittance ICU model good discrimination across category weighted average AUC 084 090 several category genetic algorithm able find several significant interaction term may able provide greater insight mortality prediction health practitioner GA selected model improved performance stepwise selection random forest model provides greater flexibility term variable selection able optimize modelerdefined model performance metric instead specific variable importance metric Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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946
946
['Henry Z. Lo', 'Kevin Amaral', 'Wei Ding']
1604.07796v1
One of the difficulties of training deep neural networks is caused by improper scaling between layers. Scaling issues introduce exploding / gradient problems, and have typically been addressed by careful scale-preserving initialization. We investigate the value of preserving scale, or isometry, beyond the initial weights. We propose two methods of maintaing isometry, one exact and one stochastic. Preliminary experiments show that for both determinant and scale-normalization effectively speeds up learning. Results suggest that isometry is important in the beginning of learning, and maintaining it leads to faster learning.
Scale Normalization
2,016
http://arxiv.org/pdf/1604.07796v1
Title Scale Normalization Summary One difficulty training deep neural network caused improper scaling layer Scaling issue introduce exploding gradient problem typically addressed careful scalepreserving initialization investigate value preserving scale isometry beyond initial weight propose two method maintaing isometry one exact one stochastic Preliminary experiment show determinant scalenormalization effectively speed learning Results suggest isometry important beginning learning maintaining lead faster learning Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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947
947
['Ludovic Arnold', 'Yann Ollivier']
1212.1524v2
When using deep, multi-layered architectures to build generative models of data, it is difficult to train all layers at once. We propose a layer-wise training procedure admitting a performance guarantee compared to the global optimum. It is based on an optimistic proxy of future performance, the best latent marginal. We interpret auto-encoders in this setting as generative models, by showing that they train a lower bound of this criterion. We test the new learning procedure against a state of the art method (stacked RBMs), and find it to improve performance. Both theory and experiments highlight the importance, when training deep architectures, of using an inference model (from data to hidden variables) richer than the generative model (from hidden variables to data).
Layer-wise learning of deep generative models
2,012
http://arxiv.org/pdf/1212.1524v2
Title Layerwise learning deep generative model Summary using deep multilayered architecture build generative model data difficult train layer propose layerwise training procedure admitting performance guarantee compared global optimum based optimistic proxy future performance best latent marginal interpret autoencoders setting generative model showing train lower bound criterion test new learning procedure state art method stacked RBMs find improve performance theory experiment highlight importance training deep architecture using inference model data hidden variable richer generative model hidden variable data Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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948
948
['Miguel Á. Carreira-Perpiñán', 'Weiran Wang']
1212.5921v1
In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems (or, more generally, nested systems) offer a way to generate complex mappings using simple stages. Each layer performs a different operation and achieves an ever more sophisticated representation of the input, as, for example, in an deep artificial neural network, an object recognition cascade in computer vision or a speech front-end processing. Joint estimation of the parameters of all the layers and selection of an optimal architecture is widely considered to be a difficult numerical nonconvex optimization problem, difficult to parallelize for execution in a distributed computation environment, and requiring significant human expert effort, which leads to suboptimal systems in practice. We describe a general mathematical strategy to learn the parameters and, to some extent, the architecture of nested systems, called the method of auxiliary coordinates (MAC). This replaces the original problem involving a deeply nested function with a constrained problem involving a different function in an augmented space without nesting. The constrained problem may be solved with penalty-based methods using alternating optimization over the parameters and the auxiliary coordinates. MAC has provable convergence, is easy to implement reusing existing algorithms for single layers, can be parallelized trivially and massively, applies even when parameter derivatives are not available or not desirable, and is competitive with state-of-the-art nonlinear optimizers even in the serial computation setting, often providing reasonable models within a few iterations.
Distributed optimization of deeply nested systems
2,012
http://arxiv.org/pdf/1212.5921v1
Title Distributed optimization deeply nested system Summary science engineering intelligent processing complex signal image sound language often performed parameterized hierarchy nonlinear processing layer sometimes biologically inspired Hierarchical system generally nested system offer way generate complex mapping using simple stage layer performs different operation achieves ever sophisticated representation input example deep artificial neural network object recognition cascade computer vision speech frontend processing Joint estimation parameter layer selection optimal architecture widely considered difficult numerical nonconvex optimization problem difficult parallelize execution distributed computation environment requiring significant human expert effort lead suboptimal system practice describe general mathematical strategy learn parameter extent architecture nested system called method auxiliary coordinate MAC replaces original problem involving deeply nested function constrained problem involving different function augmented space without nesting constrained problem may solved penaltybased method using alternating optimization parameter auxiliary coordinate MAC provable convergence easy implement reusing existing algorithm single layer parallelized trivially massively applies even parameter derivative available desirable competitive stateoftheart nonlinear optimizers even serial computation setting often providing reasonable model within iteration Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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949
949
['Xiaozhao Zhao', 'Yuexian Hou', 'Qian Yu', 'Dawei Song', 'Wenjie Li']
1302.3931v7
Typical dimensionality reduction methods focus on directly reducing the number of random variables while retaining maximal variations in the data. In this paper, we consider the dimensionality reduction in parameter spaces of binary multivariate distributions. We propose a general Confident-Information-First (CIF) principle to maximally preserve parameters with confident estimates and rule out unreliable or noisy parameters. Formally, the confidence of a parameter can be assessed by its Fisher information, which establishes a connection with the inverse variance of any unbiased estimate for the parameter via the Cram\'{e}r-Rao bound. We then revisit Boltzmann machines (BM) and theoretically show that both single-layer BM without hidden units (SBM) and restricted BM (RBM) can be solidly derived using the CIF principle. This can not only help us uncover and formalize the essential parts of the target density that SBM and RBM capture, but also suggest that the deep neural network consisting of several layers of RBM can be seen as the layer-wise application of CIF. Guided by the theoretical analysis, we develop a sample-specific CIF-based contrastive divergence (CD-CIF) algorithm for SBM and a CIF-based iterative projection procedure (IP) for RBM. Both CD-CIF and IP are studied in a series of density estimation experiments.
Understanding Boltzmann Machine and Deep Learning via A Confident Information First Principle
2,013
http://arxiv.org/pdf/1302.3931v7
Title Understanding Boltzmann Machine Deep Learning via Confident Information First Principle Summary Typical dimensionality reduction method focus directly reducing number random variable retaining maximal variation data paper consider dimensionality reduction parameter space binary multivariate distribution propose general ConfidentInformationFirst CIF principle maximally preserve parameter confident estimate rule unreliable noisy parameter Formally confidence parameter assessed Fisher information establishes connection inverse variance unbiased estimate parameter via CramerRao bound revisit Boltzmann machine BM theoretically show singlelayer BM without hidden unit SBM restricted BM RBM solidly derived using CIF principle help u uncover formalize essential part target density SBM RBM capture also suggest deep neural network consisting several layer RBM seen layerwise application CIF Guided theoretical analysis develop samplespecific CIFbased contrastive divergence CDCIF algorithm SBM CIFbased iterative projection procedure IP RBM CDCIF IP studied series density estimation experiment Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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950
950
['Vittorio Latorre', 'David Yang Gao']
1302.4141v1
Radial Basis Functions Neural Networks (RBFNNs) are tools widely used in regression problems. One of their principal drawbacks is that the formulation corresponding to the training with the supervision of both the centers and the weights is a highly non-convex optimization problem, which leads to some fundamentally difficulties for traditional optimization theory and methods. This paper presents a generalized canonical duality theory for solving this challenging problem. We demonstrate that by sequential canonical dual transformations, the nonconvex optimization problem of the RBFNN can be reformulated as a canonical dual problem (without duality gap). Both global optimal solution and local extrema can be classified. Several applications to one of the most used Radial Basis Functions, the Gaussian function, are illustrated. Our results show that even for one-dimensional case, the global minimizer of the nonconvex problem may not be the best solution to the RBFNNs, and the canonical dual theory is a promising tool for solving general neural networks training problems.
Canonical dual solutions to nonconvex radial basis neural network optimization problem
2,013
http://arxiv.org/pdf/1302.4141v1
Title Canonical dual solution nonconvex radial basis neural network optimization problem Summary Radial Basis Functions Neural Networks RBFNNs tool widely used regression problem One principal drawback formulation corresponding training supervision center weight highly nonconvex optimization problem lead fundamentally difficulty traditional optimization theory method paper present generalized canonical duality theory solving challenging problem demonstrate sequential canonical dual transformation nonconvex optimization problem RBFNN reformulated canonical dual problem without duality gap global optimal solution local extremum classified Several application one used Radial Basis Functions Gaussian function illustrated result show even onedimensional case global minimizer nonconvex problem may best solution RBFNNs canonical dual theory promising tool solving general neural network training problem Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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951
951
['Guido Montúfar', 'Razvan Pascanu', 'Kyunghyun Cho', 'Yoshua Bengio']
1402.1869v2
We study the complexity of functions computable by deep feedforward neural networks with piecewise linear activations in terms of the symmetries and the number of linear regions that they have. Deep networks are able to sequentially map portions of each layer's input-space to the same output. In this way, deep models compute functions that react equally to complicated patterns of different inputs. The compositional structure of these functions enables them to re-use pieces of computation exponentially often in terms of the network's depth. This paper investigates the complexity of such compositional maps and contributes new theoretical results regarding the advantage of depth for neural networks with piecewise linear activation functions. In particular, our analysis is not specific to a single family of models, and as an example, we employ it for rectifier and maxout networks. We improve complexity bounds from pre-existing work and investigate the behavior of units in higher layers.
On the Number of Linear Regions of Deep Neural Networks
2,014
http://arxiv.org/pdf/1402.1869v2
Title Number Linear Regions Deep Neural Networks Summary study complexity function computable deep feedforward neural network piecewise linear activation term symmetry number linear region Deep network able sequentially map portion layer inputspace output way deep model compute function react equally complicated pattern different input compositional structure function enables reuse piece computation exponentially often term network depth paper investigates complexity compositional map contributes new theoretical result regarding advantage depth neural network piecewise linear activation function particular analysis specific single family model example employ rectifier maxout network improve complexity bound preexisting work investigate behavior unit higher layer Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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952
952
['Guido Montufar', 'Nihat Ay', 'Keyan Ghazi-Zahedi']
1402.3346v3
Conditional restricted Boltzmann machines are undirected stochastic neural networks with a layer of input and output units connected bipartitely to a layer of hidden units. These networks define models of conditional probability distributions on the states of the output units given the states of the input units, parametrized by interaction weights and biases. We address the representational power of these models, proving results their ability to represent conditional Markov random fields and conditional distributions with restricted supports, the minimal size of universal approximators, the maximal model approximation errors, and on the dimension of the set of representable conditional distributions. We contribute new tools for investigating conditional probability models, which allow us to improve the results that can be derived from existing work on restricted Boltzmann machine probability models.
Geometry and Expressive Power of Conditional Restricted Boltzmann Machines
2,014
http://arxiv.org/pdf/1402.3346v3
Title Geometry Expressive Power Conditional Restricted Boltzmann Machines Summary Conditional restricted Boltzmann machine undirected stochastic neural network layer input output unit connected bipartitely layer hidden unit network define model conditional probability distribution state output unit given state input unit parametrized interaction weight bias address representational power model proving result ability represent conditional Markov random field conditional distribution restricted support minimal size universal approximators maximal model approximation error dimension set representable conditional distribution contribute new tool investigating conditional probability model allow u improve result derived existing work restricted Boltzmann machine probability model Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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953
953
['Yingbo Zhou', 'Devansh Arpit', 'Ifeoma Nwogu', 'Venu Govindaraju']
1405.1380v4
Traditionally, when generative models of data are developed via deep architectures, greedy layer-wise pre-training is employed. In a well-trained model, the lower layer of the architecture models the data distribution conditional upon the hidden variables, while the higher layers model the hidden distribution prior. But due to the greedy scheme of the layerwise training technique, the parameters of lower layers are fixed when training higher layers. This makes it extremely challenging for the model to learn the hidden distribution prior, which in turn leads to a suboptimal model for the data distribution. We therefore investigate joint training of deep autoencoders, where the architecture is viewed as one stack of two or more single-layer autoencoders. A single global reconstruction objective is jointly optimized, such that the objective for the single autoencoders at each layer acts as a local, layer-level regularizer. We empirically evaluate the performance of this joint training scheme and observe that it not only learns a better data model, but also learns better higher layer representations, which highlights its potential for unsupervised feature learning. In addition, we find that the usage of regularizations in the joint training scheme is crucial in achieving good performance. In the supervised setting, joint training also shows superior performance when training deeper models. The joint training framework can thus provide a platform for investigating more efficient usage of different types of regularizers, especially in light of the growing volumes of available unlabeled data.
Is Joint Training Better for Deep Auto-Encoders?
2,014
http://arxiv.org/pdf/1405.1380v4
Title Joint Training Better Deep AutoEncoders Summary Traditionally generative model data developed via deep architecture greedy layerwise pretraining employed welltrained model lower layer architecture model data distribution conditional upon hidden variable higher layer model hidden distribution prior due greedy scheme layerwise training technique parameter lower layer fixed training higher layer make extremely challenging model learn hidden distribution prior turn lead suboptimal model data distribution therefore investigate joint training deep autoencoders architecture viewed one stack two singlelayer autoencoders single global reconstruction objective jointly optimized objective single autoencoders layer act local layerlevel regularizer empirically evaluate performance joint training scheme observe learns better data model also learns better higher layer representation highlight potential unsupervised feature learning addition find usage regularization joint training scheme crucial achieving good performance supervised setting joint training also show superior performance training deeper model joint training framework thus provide platform investigating efficient usage different type regularizers especially light growing volume available unlabeled data Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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954
954
['Bharath Ramsundar', 'Steven Kearnes', 'Patrick Riley', 'Dale Webster', 'David Konerding', 'Vijay Pande']
1502.02072v1
Massively multitask neural architectures provide a learning framework for drug discovery that synthesizes information from many distinct biological sources. To train these architectures at scale, we gather large amounts of data from public sources to create a dataset of nearly 40 million measurements across more than 200 biological targets. We investigate several aspects of the multitask framework by performing a series of empirical studies and obtain some interesting results: (1) massively multitask networks obtain predictive accuracies significantly better than single-task methods, (2) the predictive power of multitask networks improves as additional tasks and data are added, (3) the total amount of data and the total number of tasks both contribute significantly to multitask improvement, and (4) multitask networks afford limited transferability to tasks not in the training set. Our results underscore the need for greater data sharing and further algorithmic innovation to accelerate the drug discovery process.
Massively Multitask Networks for Drug Discovery
2,015
http://arxiv.org/pdf/1502.02072v1
Title Massively Multitask Networks Drug Discovery Summary Massively multitask neural architecture provide learning framework drug discovery synthesizes information many distinct biological source train architecture scale gather large amount data public source create dataset nearly 40 million measurement across 200 biological target investigate several aspect multitask framework performing series empirical study obtain interesting result 1 massively multitask network obtain predictive accuracy significantly better singletask method 2 predictive power multitask network improves additional task data added 3 total amount data total number task contribute significantly multitask improvement 4 multitask network afford limited transferability task training set result underscore need greater data sharing algorithmic innovation accelerate drug discovery process Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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955
955
['Junyoung Chung', 'Caglar Gulcehre', 'Kyunghyun Cho', 'Yoshua Bengio']
1502.02367v4
In this work, we propose a novel recurrent neural network (RNN) architecture. The proposed RNN, gated-feedback RNN (GF-RNN), extends the existing approach of stacking multiple recurrent layers by allowing and controlling signals flowing from upper recurrent layers to lower layers using a global gating unit for each pair of layers. The recurrent signals exchanged between layers are gated adaptively based on the previous hidden states and the current input. We evaluated the proposed GF-RNN with different types of recurrent units, such as tanh, long short-term memory and gated recurrent units, on the tasks of character-level language modeling and Python program evaluation. Our empirical evaluation of different RNN units, revealed that in both tasks, the GF-RNN outperforms the conventional approaches to build deep stacked RNNs. We suggest that the improvement arises because the GF-RNN can adaptively assign different layers to different timescales and layer-to-layer interactions (including the top-down ones which are not usually present in a stacked RNN) by learning to gate these interactions.
Gated Feedback Recurrent Neural Networks
2,015
http://arxiv.org/pdf/1502.02367v4
Title Gated Feedback Recurrent Neural Networks Summary work propose novel recurrent neural network RNN architecture proposed RNN gatedfeedback RNN GFRNN extends existing approach stacking multiple recurrent layer allowing controlling signal flowing upper recurrent layer lower layer using global gating unit pair layer recurrent signal exchanged layer gated adaptively based previous hidden state current input evaluated proposed GFRNN different type recurrent unit tanh long shortterm memory gated recurrent unit task characterlevel language modeling Python program evaluation empirical evaluation different RNN unit revealed task GFRNN outperforms conventional approach build deep stacked RNNs suggest improvement arises GFRNN adaptively assign different layer different timescales layertolayer interaction including topdown one usually present stacked RNN learning gate interaction Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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956
956
['Suyog Gupta', 'Ankur Agrawal', 'Kailash Gopalakrishnan', 'Pritish Narayanan']
1502.02551v1
Training of large-scale deep neural networks is often constrained by the available computational resources. We study the effect of limited precision data representation and computation on neural network training. Within the context of low-precision fixed-point computations, we observe the rounding scheme to play a crucial role in determining the network's behavior during training. Our results show that deep networks can be trained using only 16-bit wide fixed-point number representation when using stochastic rounding, and incur little to no degradation in the classification accuracy. We also demonstrate an energy-efficient hardware accelerator that implements low-precision fixed-point arithmetic with stochastic rounding.
Deep Learning with Limited Numerical Precision
2,015
http://arxiv.org/pdf/1502.02551v1
Title Deep Learning Limited Numerical Precision Summary Training largescale deep neural network often constrained available computational resource study effect limited precision data representation computation neural network training Within context lowprecision fixedpoint computation observe rounding scheme play crucial role determining network behavior training result show deep network trained using 16bit wide fixedpoint number representation using stochastic rounding incur little degradation classification accuracy also demonstrate energyefficient hardware accelerator implement lowprecision fixedpoint arithmetic stochastic rounding Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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957
957
['Mathieu Germain', 'Karol Gregor', 'Iain Murray', 'Hugo Larochelle']
1502.03509v2
There has been a lot of recent interest in designing neural network models to estimate a distribution from a set of examples. We introduce a simple modification for autoencoder neural networks that yields powerful generative models. Our method masks the autoencoder's parameters to respect autoregressive constraints: each input is reconstructed only from previous inputs in a given ordering. Constrained this way, the autoencoder outputs can be interpreted as a set of conditional probabilities, and their product, the full joint probability. We can also train a single network that can decompose the joint probability in multiple different orderings. Our simple framework can be applied to multiple architectures, including deep ones. Vectorized implementations, such as on GPUs, are simple and fast. Experiments demonstrate that this approach is competitive with state-of-the-art tractable distribution estimators. At test time, the method is significantly faster and scales better than other autoregressive estimators.
MADE: Masked Autoencoder for Distribution Estimation
2,015
http://arxiv.org/pdf/1502.03509v2
Title MADE Masked Autoencoder Distribution Estimation Summary lot recent interest designing neural network model estimate distribution set example introduce simple modification autoencoder neural network yield powerful generative model method mask autoencoders parameter respect autoregressive constraint input reconstructed previous input given ordering Constrained way autoencoder output interpreted set conditional probability product full joint probability also train single network decompose joint probability multiple different ordering simple framework applied multiple architecture including deep one Vectorized implementation GPUs simple fast Experiments demonstrate approach competitive stateoftheart tractable distribution estimator test time method significantly faster scale better autoregressive estimator Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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958
958
['Sanjeev Arora', 'Rong Ge', 'Tengyu Ma', 'Ankur Moitra']
1503.00778v1
Sparse coding is a basic task in many fields including signal processing, neuroscience and machine learning where the goal is to learn a basis that enables a sparse representation of a given set of data, if one exists. Its standard formulation is as a non-convex optimization problem which is solved in practice by heuristics based on alternating minimization. Re- cent work has resulted in several algorithms for sparse coding with provable guarantees, but somewhat surprisingly these are outperformed by the simple alternating minimization heuristics. Here we give a general framework for understanding alternating minimization which we leverage to analyze existing heuristics and to design new ones also with provable guarantees. Some of these algorithms seem implementable on simple neural architectures, which was the original motivation of Olshausen and Field (1997a) in introducing sparse coding. We also give the first efficient algorithm for sparse coding that works almost up to the information theoretic limit for sparse recovery on incoherent dictionaries. All previous algorithms that approached or surpassed this limit run in time exponential in some natural parameter. Finally, our algorithms improve upon the sample complexity of existing approaches. We believe that our analysis framework will have applications in other settings where simple iterative algorithms are used.
Simple, Efficient, and Neural Algorithms for Sparse Coding
2,015
http://arxiv.org/pdf/1503.00778v1
Title Simple Efficient Neural Algorithms Sparse Coding Summary Sparse coding basic task many field including signal processing neuroscience machine learning goal learn basis enables sparse representation given set data one exists standard formulation nonconvex optimization problem solved practice heuristic based alternating minimization cent work resulted several algorithm sparse coding provable guarantee somewhat surprisingly outperformed simple alternating minimization heuristic give general framework understanding alternating minimization leverage analyze existing heuristic design new one also provable guarantee algorithm seem implementable simple neural architecture original motivation Olshausen Field 1997a introducing sparse coding also give first efficient algorithm sparse coding work almost information theoretic limit sparse recovery incoherent dictionary previous algorithm approached surpassed limit run time exponential natural parameter Finally algorithm improve upon sample complexity existing approach believe analysis framework application setting simple iterative algorithm used Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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959
959
['Thomas Unterthiner', 'Andreas Mayr', 'Günter Klambauer', 'Sepp Hochreiter']
1503.01445v1
Everyday we are exposed to various chemicals via food additives, cleaning and cosmetic products and medicines -- and some of them might be toxic. However testing the toxicity of all existing compounds by biological experiments is neither financially nor logistically feasible. Therefore the government agencies NIH, EPA and FDA launched the Tox21 Data Challenge within the "Toxicology in the 21st Century" (Tox21) initiative. The goal of this challenge was to assess the performance of computational methods in predicting the toxicity of chemical compounds. State of the art toxicity prediction methods build upon specifically-designed chemical descriptors developed over decades. Though Deep Learning is new to the field and was never applied to toxicity prediction before, it clearly outperformed all other participating methods. In this application paper we show that deep nets automatically learn features resembling well-established toxicophores. In total, our Deep Learning approach won both of the panel-challenges (nuclear receptors and stress response) as well as the overall Grand Challenge, and thereby sets a new standard in tox prediction.
Toxicity Prediction using Deep Learning
2,015
http://arxiv.org/pdf/1503.01445v1
Title Toxicity Prediction using Deep Learning Summary Everyday exposed various chemical via food additive cleaning cosmetic product medicine might toxic However testing toxicity existing compound biological experiment neither financially logistically feasible Therefore government agency NIH EPA FDA launched Tox21 Data Challenge within Toxicology 21st Century Tox21 initiative goal challenge ass performance computational method predicting toxicity chemical compound State art toxicity prediction method build upon specificallydesigned chemical descriptor developed decade Though Deep Learning new field never applied toxicity prediction clearly outperformed participating method application paper show deep net automatically learn feature resembling wellestablished toxicophores total Deep Learning approach panelchallenges nuclear receptor stress response well overall Grand Challenge thereby set new standard tox prediction Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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960
960
['Prateek Jain', 'Vivek Kulkarni', 'Abhradeep Thakurta', 'Oliver Williams']
1503.02031v1
Training deep belief networks (DBNs) requires optimizing a non-convex function with an extremely large number of parameters. Naturally, existing gradient descent (GD) based methods are prone to arbitrarily poor local minima. In this paper, we rigorously show that such local minima can be avoided (upto an approximation error) by using the dropout technique, a widely used heuristic in this domain. In particular, we show that by randomly dropping a few nodes of a one-hidden layer neural network, the training objective function, up to a certain approximation error, decreases by a multiplicative factor. On the flip side, we show that for training convex empirical risk minimizers (ERM), dropout in fact acts as a "stabilizer" or regularizer. That is, a simple dropout based GD method for convex ERMs is stable in the face of arbitrary changes to any one of the training points. Using the above assertion, we show that dropout provides fast rates for generalization error in learning (convex) generalized linear models (GLM). Moreover, using the above mentioned stability properties of dropout, we design dropout based differentially private algorithms for solving ERMs. The learned GLM thus, preserves privacy of each of the individual training points while providing accurate predictions for new test points. Finally, we empirically validate our stability assertions for dropout in the context of convex ERMs and show that surprisingly, dropout significantly outperforms (in terms of prediction accuracy) the L2 regularization based methods for several benchmark datasets.
To Drop or Not to Drop: Robustness, Consistency and Differential Privacy Properties of Dropout
2,015
http://arxiv.org/pdf/1503.02031v1
Title Drop Drop Robustness Consistency Differential Privacy Properties Dropout Summary Training deep belief network DBNs requires optimizing nonconvex function extremely large number parameter Naturally existing gradient descent GD based method prone arbitrarily poor local minimum paper rigorously show local minimum avoided upto approximation error using dropout technique widely used heuristic domain particular show randomly dropping node onehidden layer neural network training objective function certain approximation error decrease multiplicative factor flip side show training convex empirical risk minimizers ERM dropout fact act stabilizer regularizer simple dropout based GD method convex ERMs stable face arbitrary change one training point Using assertion show dropout provides fast rate generalization error learning convex generalized linear model GLM Moreover using mentioned stability property dropout design dropout based differentially private algorithm solving ERMs learned GLM thus preserve privacy individual training point providing accurate prediction new test point Finally empirically validate stability assertion dropout context convex ERMs show surprisingly dropout significantly outperforms term prediction accuracy L2 regularization based method several benchmark datasets Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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961
961
['Geoffrey Hinton', 'Oriol Vinyals', 'Jeff Dean']
1503.02531v1
A very simple way to improve the performance of almost any machine learning algorithm is to train many different models on the same data and then to average their predictions. Unfortunately, making predictions using a whole ensemble of models is cumbersome and may be too computationally expensive to allow deployment to a large number of users, especially if the individual models are large neural nets. Caruana and his collaborators have shown that it is possible to compress the knowledge in an ensemble into a single model which is much easier to deploy and we develop this approach further using a different compression technique. We achieve some surprising results on MNIST and we show that we can significantly improve the acoustic model of a heavily used commercial system by distilling the knowledge in an ensemble of models into a single model. We also introduce a new type of ensemble composed of one or more full models and many specialist models which learn to distinguish fine-grained classes that the full models confuse. Unlike a mixture of experts, these specialist models can be trained rapidly and in parallel.
Distilling the Knowledge in a Neural Network
2,015
http://arxiv.org/pdf/1503.02531v1
Title Distilling Knowledge Neural Network Summary simple way improve performance almost machine learning algorithm train many different model data average prediction Unfortunately making prediction using whole ensemble model cumbersome may computationally expensive allow deployment large number user especially individual model large neural net Caruana collaborator shown possible compress knowledge ensemble single model much easier deploy develop approach using different compression technique achieve surprising result MNIST show significantly improve acoustic model heavily used commercial system distilling knowledge ensemble model single model also introduce new type ensemble composed one full model many specialist model learn distinguish finegrained class full model confuse Unlike mixture expert specialist model trained rapidly parallel Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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962
['Joan Bruna', 'Soumith Chintala', 'Yann LeCun', 'Serkan Piantino', 'Arthur Szlam', 'Mark Tygert']
1503.03438v3
A complex-valued convolutional network (convnet) implements the repeated application of the following composition of three operations, recursively applying the composition to an input vector of nonnegative real numbers: (1) convolution with complex-valued vectors followed by (2) taking the absolute value of every entry of the resulting vectors followed by (3) local averaging. For processing real-valued random vectors, complex-valued convnets can be viewed as "data-driven multiscale windowed power spectra," "data-driven multiscale windowed absolute spectra," "data-driven multiwavelet absolute values," or (in their most general configuration) "data-driven nonlinear multiwavelet packets." Indeed, complex-valued convnets can calculate multiscale windowed spectra when the convnet filters are windowed complex-valued exponentials. Standard real-valued convnets, using rectified linear units (ReLUs), sigmoidal (for example, logistic or tanh) nonlinearities, max. pooling, etc., do not obviously exhibit the same exact correspondence with data-driven wavelets (whereas for complex-valued convnets, the correspondence is much more than just a vague analogy). Courtesy of the exact correspondence, the remarkably rich and rigorous body of mathematical analysis for wavelets applies directly to (complex-valued) convnets.
A mathematical motivation for complex-valued convolutional networks
2,015
http://arxiv.org/pdf/1503.03438v3
Title mathematical motivation complexvalued convolutional network Summary complexvalued convolutional network convnet implement repeated application following composition three operation recursively applying composition input vector nonnegative real number 1 convolution complexvalued vector followed 2 taking absolute value every entry resulting vector followed 3 local averaging processing realvalued random vector complexvalued convnets viewed datadriven multiscale windowed power spectrum datadriven multiscale windowed absolute spectrum datadriven multiwavelet absolute value general configuration datadriven nonlinear multiwavelet packet Indeed complexvalued convnets calculate multiscale windowed spectrum convnet filter windowed complexvalued exponential Standard realvalued convnets using rectified linear unit ReLUs sigmoidal example logistic tanh nonlinearities max pooling etc obviously exhibit exact correspondence datadriven wavelet whereas complexvalued convnets correspondence much vague analogy Courtesy exact correspondence remarkably rich rigorous body mathematical analysis wavelet applies directly complexvalued convnets Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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963
963
['James Martens', 'Roger Grosse']
1503.05671v6
We propose an efficient method for approximating natural gradient descent in neural networks which we call Kronecker-Factored Approximate Curvature (K-FAC). K-FAC is based on an efficiently invertible approximation of a neural network's Fisher information matrix which is neither diagonal nor low-rank, and in some cases is completely non-sparse. It is derived by approximating various large blocks of the Fisher (corresponding to entire layers) as being the Kronecker product of two much smaller matrices. While only several times more expensive to compute than the plain stochastic gradient, the updates produced by K-FAC make much more progress optimizing the objective, which results in an algorithm that can be much faster than stochastic gradient descent with momentum in practice. And unlike some previously proposed approximate natural-gradient/Newton methods which use high-quality non-diagonal curvature matrices (such as Hessian-free optimization), K-FAC works very well in highly stochastic optimization regimes. This is because the cost of storing and inverting K-FAC's approximation to the curvature matrix does not depend on the amount of data used to estimate it, which is a feature typically associated only with diagonal or low-rank approximations to the curvature matrix.
Optimizing Neural Networks with Kronecker-factored Approximate Curvature
2,015
http://arxiv.org/pdf/1503.05671v6
Title Optimizing Neural Networks Kroneckerfactored Approximate Curvature Summary propose efficient method approximating natural gradient descent neural network call KroneckerFactored Approximate Curvature KFAC KFAC based efficiently invertible approximation neural network Fisher information matrix neither diagonal lowrank case completely nonsparse derived approximating various large block Fisher corresponding entire layer Kronecker product two much smaller matrix several time expensive compute plain stochastic gradient update produced KFAC make much progress optimizing objective result algorithm much faster stochastic gradient descent momentum practice unlike previously proposed approximate naturalgradientNewton method use highquality nondiagonal curvature matrix Hessianfree optimization KFAC work well highly stochastic optimization regime cost storing inverting KFACs approximation curvature matrix depend amount data used estimate feature typically associated diagonal lowrank approximation curvature matrix Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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964
964
['Xiao-Lei Zhang']
1503.06452v1
Recently, multilayer bootstrap network (MBN) has demonstrated promising performance in unsupervised dimensionality reduction. It can learn compact representations in standard data sets, i.e. MNIST and RCV1. However, as a bootstrap method, the prediction complexity of MBN is high. In this paper, we propose an unsupervised model compression framework for this general problem of unsupervised bootstrap methods. The framework compresses a large unsupervised bootstrap model into a small model by taking the bootstrap model and its application together as a black box and learning a mapping function from the input of the bootstrap model to the output of the application by a supervised learner. To specialize the framework, we propose a new technique, named compressive MBN. It takes MBN as the unsupervised bootstrap model and deep neural network (DNN) as the supervised learner. Our initial result on MNIST showed that compressive MBN not only maintains the high prediction accuracy of MBN but also is over thousands of times faster than MBN at the prediction stage. Our result suggests that the new technique integrates the effectiveness of MBN on unsupervised learning and the effectiveness and efficiency of DNN on supervised learning together for the effectiveness and efficiency of compressive MBN on unsupervised learning.
Unsupervised model compression for multilayer bootstrap networks
2,015
http://arxiv.org/pdf/1503.06452v1
Title Unsupervised model compression multilayer bootstrap network Summary Recently multilayer bootstrap network MBN demonstrated promising performance unsupervised dimensionality reduction learn compact representation standard data set ie MNIST RCV1 However bootstrap method prediction complexity MBN high paper propose unsupervised model compression framework general problem unsupervised bootstrap method framework compress large unsupervised bootstrap model small model taking bootstrap model application together black box learning mapping function input bootstrap model output application supervised learner specialize framework propose new technique named compressive MBN take MBN unsupervised bootstrap model deep neural network DNN supervised learner initial result MNIST showed compressive MBN maintains high prediction accuracy MBN also thousand time faster MBN prediction stage result suggests new technique integrates effectiveness MBN unsupervised learning effectiveness efficiency DNN supervised learning together effectiveness efficiency compressive MBN unsupervised learning Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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965
965
['Leen De Baets', 'Joeri Ruyssinck', 'Thomas Peiffer', 'Johan Decruyenaere', 'Filip De Turck', 'Femke Ongenae', 'Tom Dhaene']
1612.00962v1
The presence of bacteria or fungi in the bloodstream of patients is abnormal and can lead to life-threatening conditions. A computational model based on a bidirectional long short-term memory artificial neural network, is explored to assist doctors in the intensive care unit to predict whether examination of blood cultures of patients will return positive. As input it uses nine monitored clinical parameters, presented as time series data, collected from 2177 ICU admissions at the Ghent University Hospital. Our main goal is to determine if general machine learning methods and more specific, temporal models, can be used to create an early detection system. This preliminary research obtains an area of 71.95% under the precision recall curve, proving the potential of temporal neural networks in this context.
Positive blood culture detection in time series data using a BiLSTM network
2,016
http://arxiv.org/pdf/1612.00962v1
Title Positive blood culture detection time series data using BiLSTM network Summary presence bacteria fungi bloodstream patient abnormal lead lifethreatening condition computational model based bidirectional long shortterm memory artificial neural network explored assist doctor intensive care unit predict whether examination blood culture patient return positive input us nine monitored clinical parameter presented time series data collected 2177 ICU admission Ghent University Hospital main goal determine general machine learning method specific temporal model used create early detection system preliminary research obtains area 7195 precision recall curve proving potential temporal neural network context Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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966
966
['Ramon Oliveira', 'Pedro Tabacof', 'Eduardo Valle']
1612.01251v2
We evaluate the uncertainty quality in neural networks using anomaly detection. We extract uncertainty measures (e.g. entropy) from the predictions of candidate models, use those measures as features for an anomaly detector, and gauge how well the detector differentiates known from unknown classes. We assign higher uncertainty quality to candidate models that lead to better detectors. We also propose a novel method for sampling a variational approximation of a Bayesian neural network, called One-Sample Bayesian Approximation (OSBA). We experiment on two datasets, MNIST and CIFAR10. We compare the following candidate neural network models: Maximum Likelihood, Bayesian Dropout, OSBA, and --- for MNIST --- the standard variational approximation. We show that Bayesian Dropout and OSBA provide better uncertainty information than Maximum Likelihood, and are essentially equivalent to the standard variational approximation, but much faster.
Known Unknowns: Uncertainty Quality in Bayesian Neural Networks
2,016
http://arxiv.org/pdf/1612.01251v2
Title Known Unknowns Uncertainty Quality Bayesian Neural Networks Summary evaluate uncertainty quality neural network using anomaly detection extract uncertainty measure eg entropy prediction candidate model use measure feature anomaly detector gauge well detector differentiates known unknown class assign higher uncertainty quality candidate model lead better detector also propose novel method sampling variational approximation Bayesian neural network called OneSample Bayesian Approximation OSBA experiment two datasets MNIST CIFAR10 compare following candidate neural network model Maximum Likelihood Bayesian Dropout OSBA MNIST standard variational approximation show Bayesian Dropout OSBA provide better uncertainty information Maximum Likelihood essentially equivalent standard variational approximation much faster Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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967
967
['Tan Nguyen', 'Wanjia Liu', 'Ethan Perez', 'Richard G. Baraniuk', 'Ankit B. Patel']
1612.01942v1
Semi-supervised learning algorithms reduce the high cost of acquiring labeled training data by using both labeled and unlabeled data during learning. Deep Convolutional Networks (DCNs) have achieved great success in supervised tasks and as such have been widely employed in the semi-supervised learning. In this paper we leverage the recently developed Deep Rendering Mixture Model (DRMM), a probabilistic generative model that models latent nuisance variation, and whose inference algorithm yields DCNs. We develop an EM algorithm for the DRMM to learn from both labeled and unlabeled data. Guided by the theory of the DRMM, we introduce a novel non-negativity constraint and a variational inference term. We report state-of-the-art performance on MNIST and SVHN and competitive results on CIFAR10. We also probe deeper into how a DRMM trained in a semi-supervised setting represents latent nuisance variation using synthetically rendered images. Taken together, our work provides a unified framework for supervised, unsupervised, and semi-supervised learning.
Semi-Supervised Learning with the Deep Rendering Mixture Model
2,016
http://arxiv.org/pdf/1612.01942v1
Title SemiSupervised Learning Deep Rendering Mixture Model Summary Semisupervised learning algorithm reduce high cost acquiring labeled training data using labeled unlabeled data learning Deep Convolutional Networks DCNs achieved great success supervised task widely employed semisupervised learning paper leverage recently developed Deep Rendering Mixture Model DRMM probabilistic generative model model latent nuisance variation whose inference algorithm yield DCNs develop EM algorithm DRMM learn labeled unlabeled data Guided theory DRMM introduce novel nonnegativity constraint variational inference term report stateoftheart performance MNIST SVHN competitive result CIFAR10 also probe deeper DRMM trained semisupervised setting represents latent nuisance variation using synthetically rendered image Taken together work provides unified framework supervised unsupervised semisupervised learning Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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968
968
['Yuansi Chen', 'Cengiz Pehlevan', 'Dmitri B. Chklovskii']
1612.03480v1
Recently, a novel family of biologically plausible online algorithms for reducing the dimensionality of streaming data has been derived from the similarity matching principle. In these algorithms, the number of output dimensions can be determined adaptively by thresholding the singular values of the input data matrix. However, setting such threshold requires knowing the magnitude of the desired singular values in advance. Here we propose online algorithms where the threshold is self-calibrating based on the singular values computed from the existing observations. To derive these algorithms from the similarity matching cost function we propose novel regularizers. As before, these online algorithms can be implemented by Hebbian/anti-Hebbian neural networks in which the learning rule depends on the chosen regularizer. We demonstrate both mathematically and via simulation the effectiveness of these online algorithms in various settings.
Self-calibrating Neural Networks for Dimensionality Reduction
2,016
http://arxiv.org/pdf/1612.03480v1
Title Selfcalibrating Neural Networks Dimensionality Reduction Summary Recently novel family biologically plausible online algorithm reducing dimensionality streaming data derived similarity matching principle algorithm number output dimension determined adaptively thresholding singular value input data matrix However setting threshold requires knowing magnitude desired singular value advance propose online algorithm threshold selfcalibrating based singular value computed existing observation derive algorithm similarity matching cost function propose novel regularizers online algorithm implemented HebbianantiHebbian neural network learning rule depends chosen regularizer demonstrate mathematically via simulation effectiveness online algorithm various setting Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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969
969
['Li Jing', 'Yichen Shen', 'Tena Dubček', 'John Peurifoy', 'Scott Skirlo', 'Yann LeCun', 'Max Tegmark', 'Marin Soljačić']
1612.05231v3
Using unitary (instead of general) matrices in artificial neural networks (ANNs) is a promising way to solve the gradient explosion/vanishing problem, as well as to enable ANNs to learn long-term correlations in the data. This approach appears particularly promising for Recurrent Neural Networks (RNNs). In this work, we present a new architecture for implementing an Efficient Unitary Neural Network (EUNNs); its main advantages can be summarized as follows. Firstly, the representation capacity of the unitary space in an EUNN is fully tunable, ranging from a subspace of SU(N) to the entire unitary space. Secondly, the computational complexity for training an EUNN is merely $\mathcal{O}(1)$ per parameter. Finally, we test the performance of EUNNs on the standard copying task, the pixel-permuted MNIST digit recognition benchmark as well as the Speech Prediction Test (TIMIT). We find that our architecture significantly outperforms both other state-of-the-art unitary RNNs and the LSTM architecture, in terms of the final performance and/or the wall-clock training speed. EUNNs are thus promising alternatives to RNNs and LSTMs for a wide variety of applications.
Tunable Efficient Unitary Neural Networks (EUNN) and their application to RNNs
2,016
http://arxiv.org/pdf/1612.05231v3
Title Tunable Efficient Unitary Neural Networks EUNN application RNNs Summary Using unitary instead general matrix artificial neural network ANNs promising way solve gradient explosionvanishing problem well enable ANNs learn longterm correlation data approach appears particularly promising Recurrent Neural Networks RNNs work present new architecture implementing Efficient Unitary Neural Network EUNNs main advantage summarized follows Firstly representation capacity unitary space EUNN fully tunable ranging subspace SUN entire unitary space Secondly computational complexity training EUNN merely mathcalO1 per parameter Finally test performance EUNNs standard copying task pixelpermuted MNIST digit recognition benchmark well Speech Prediction Test TIMIT find architecture significantly outperforms stateoftheart unitary RNNs LSTM architecture term final performance andor wallclock training speed EUNNs thus promising alternative RNNs LSTMs wide variety application Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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970
970
['Alex Graves']
1211.3711v1
Many machine learning tasks can be expressed as the transformation---or \emph{transduction}---of input sequences into output sequences: speech recognition, machine translation, protein secondary structure prediction and text-to-speech to name but a few. One of the key challenges in sequence transduction is learning to represent both the input and output sequences in a way that is invariant to sequential distortions such as shrinking, stretching and translating. Recurrent neural networks (RNNs) are a powerful sequence learning architecture that has proven capable of learning such representations. However RNNs traditionally require a pre-defined alignment between the input and output sequences to perform transduction. This is a severe limitation since \emph{finding} the alignment is the most difficult aspect of many sequence transduction problems. Indeed, even determining the length of the output sequence is often challenging. This paper introduces an end-to-end, probabilistic sequence transduction system, based entirely on RNNs, that is in principle able to transform any input sequence into any finite, discrete output sequence. Experimental results for phoneme recognition are provided on the TIMIT speech corpus.
Sequence Transduction with Recurrent Neural Networks
2,012
http://arxiv.org/pdf/1211.3711v1
Title Sequence Transduction Recurrent Neural Networks Summary Many machine learning task expressed transformationor emphtransductionof input sequence output sequence speech recognition machine translation protein secondary structure prediction texttospeech name One key challenge sequence transduction learning represent input output sequence way invariant sequential distortion shrinking stretching translating Recurrent neural network RNNs powerful sequence learning architecture proven capable learning representation However RNNs traditionally require predefined alignment input output sequence perform transduction severe limitation since emphfinding alignment difficult aspect many sequence transduction problem Indeed even determining length output sequence often challenging paper introduces endtoend probabilistic sequence transduction system based entirely RNNs principle able transform input sequence finite discrete output sequence Experimental result phoneme recognition provided TIMIT speech corpus Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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971
971
['Justin Bayer', 'Christian Osendorfer', 'Daniela Korhammer', 'Nutan Chen', 'Sebastian Urban', 'Patrick van der Smagt']
1311.0701v7
Recurrent Neural Networks (RNNs) are rich models for the processing of sequential data. Recent work on advancing the state of the art has been focused on the optimization or modelling of RNNs, mostly motivated by adressing the problems of the vanishing and exploding gradients. The control of overfitting has seen considerably less attention. This paper contributes to that by analyzing fast dropout, a recent regularization method for generalized linear models and neural networks from a back-propagation inspired perspective. We show that fast dropout implements a quadratic form of an adaptive, per-parameter regularizer, which rewards large weights in the light of underfitting, penalizes them for overconfident predictions and vanishes at minima of an unregularized training loss. The derivatives of that regularizer are exclusively based on the training error signal. One consequence of this is the absense of a global weight attractor, which is particularly appealing for RNNs, since the dynamics are not biased towards a certain regime. We positively test the hypothesis that this improves the performance of RNNs on four musical data sets.
On Fast Dropout and its Applicability to Recurrent Networks
2,013
http://arxiv.org/pdf/1311.0701v7
Title Fast Dropout Applicability Recurrent Networks Summary Recurrent Neural Networks RNNs rich model processing sequential data Recent work advancing state art focused optimization modelling RNNs mostly motivated adressing problem vanishing exploding gradient control overfitting seen considerably le attention paper contributes analyzing fast dropout recent regularization method generalized linear model neural network backpropagation inspired perspective show fast dropout implement quadratic form adaptive perparameter regularizer reward large weight light underfitting penalizes overconfident prediction vanishes minimum unregularized training loss derivative regularizer exclusively based training error signal One consequence absense global weight attractor particularly appealing RNNs since dynamic biased towards certain regime positively test hypothesis improves performance RNNs four musical data set Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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972
972
['Caglar Gulcehre', 'Kyunghyun Cho', 'Razvan Pascanu', 'Yoshua Bengio']
1311.1780v7
In this paper we propose and investigate a novel nonlinear unit, called $L_p$ unit, for deep neural networks. The proposed $L_p$ unit receives signals from several projections of a subset of units in the layer below and computes a normalized $L_p$ norm. We notice two interesting interpretations of the $L_p$ unit. First, the proposed unit can be understood as a generalization of a number of conventional pooling operators such as average, root-mean-square and max pooling widely used in, for instance, convolutional neural networks (CNN), HMAX models and neocognitrons. Furthermore, the $L_p$ unit is, to a certain degree, similar to the recently proposed maxout unit (Goodfellow et al., 2013) which achieved the state-of-the-art object recognition results on a number of benchmark datasets. Secondly, we provide a geometrical interpretation of the activation function based on which we argue that the $L_p$ unit is more efficient at representing complex, nonlinear separating boundaries. Each $L_p$ unit defines a superelliptic boundary, with its exact shape defined by the order $p$. We claim that this makes it possible to model arbitrarily shaped, curved boundaries more efficiently by combining a few $L_p$ units of different orders. This insight justifies the need for learning different orders for each unit in the model. We empirically evaluate the proposed $L_p$ units on a number of datasets and show that multilayer perceptrons (MLP) consisting of the $L_p$ units achieve the state-of-the-art results on a number of benchmark datasets. Furthermore, we evaluate the proposed $L_p$ unit on the recently proposed deep recurrent neural networks (RNN).
Learned-Norm Pooling for Deep Feedforward and Recurrent Neural Networks
2,013
http://arxiv.org/pdf/1311.1780v7
Title LearnedNorm Pooling Deep Feedforward Recurrent Neural Networks Summary paper propose investigate novel nonlinear unit called Lp unit deep neural network proposed Lp unit receives signal several projection subset unit layer computes normalized Lp norm notice two interesting interpretation Lp unit First proposed unit understood generalization number conventional pooling operator average rootmeansquare max pooling widely used instance convolutional neural network CNN HMAX model neocognitrons Furthermore Lp unit certain degree similar recently proposed maxout unit Goodfellow et al 2013 achieved stateoftheart object recognition result number benchmark datasets Secondly provide geometrical interpretation activation function based argue Lp unit efficient representing complex nonlinear separating boundary Lp unit defines superelliptic boundary exact shape defined order p claim make possible model arbitrarily shaped curved boundary efficiently combining Lp unit different order insight justifies need learning different order unit model empirically evaluate proposed Lp unit number datasets show multilayer perceptrons MLP consisting Lp unit achieve stateoftheart result number benchmark datasets Furthermore evaluate proposed Lp unit recently proposed deep recurrent neural network RNN Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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['Michael S. Gashler', 'Michael R. Smith', 'Richard Morris', 'Tony Martinez']
1312.5394v1
Many data mining and data analysis techniques operate on dense matrices or complete tables of data. Real-world data sets, however, often contain unknown values. Even many classification algorithms that are designed to operate with missing values still exhibit deteriorated accuracy. One approach to handling missing values is to fill in (impute) the missing values. In this paper, we present a technique for unsupervised learning called Unsupervised Backpropagation (UBP), which trains a multi-layer perceptron to fit to the manifold sampled by a set of observed point-vectors. We evaluate UBP with the task of imputing missing values in datasets, and show that UBP is able to predict missing values with significantly lower sum-squared error than other collaborative filtering and imputation techniques. We also demonstrate with 24 datasets and 9 supervised learning algorithms that classification accuracy is usually higher when randomly-withheld values are imputed using UBP, rather than with other methods.
Missing Value Imputation With Unsupervised Backpropagation
2,013
http://arxiv.org/pdf/1312.5394v1
Title Missing Value Imputation Unsupervised Backpropagation Summary Many data mining data analysis technique operate dense matrix complete table data Realworld data set however often contain unknown value Even many classification algorithm designed operate missing value still exhibit deteriorated accuracy One approach handling missing value fill impute missing value paper present technique unsupervised learning called Unsupervised Backpropagation UBP train multilayer perceptron fit manifold sampled set observed pointvectors evaluate UBP task imputing missing value datasets show UBP able predict missing value significantly lower sumsquared error collaborative filtering imputation technique also demonstrate 24 datasets 9 supervised learning algorithm classification accuracy usually higher randomlywithheld value imputed using UBP rather method Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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974
974
['Mathias Berglund', 'Tapani Raiko']
1312.6002v3
Contrastive Divergence (CD) and Persistent Contrastive Divergence (PCD) are popular methods for training the weights of Restricted Boltzmann Machines. However, both methods use an approximate method for sampling from the model distribution. As a side effect, these approximations yield significantly different biases and variances for stochastic gradient estimates of individual data points. It is well known that CD yields a biased gradient estimate. In this paper we however show empirically that CD has a lower stochastic gradient estimate variance than exact sampling, while the mean of subsequent PCD estimates has a higher variance than exact sampling. The results give one explanation to the finding that CD can be used with smaller minibatches or higher learning rates than PCD.
Stochastic Gradient Estimate Variance in Contrastive Divergence and Persistent Contrastive Divergence
2,013
http://arxiv.org/pdf/1312.6002v3
Title Stochastic Gradient Estimate Variance Contrastive Divergence Persistent Contrastive Divergence Summary Contrastive Divergence CD Persistent Contrastive Divergence PCD popular method training weight Restricted Boltzmann Machines However method use approximate method sampling model distribution side effect approximation yield significantly different bias variance stochastic gradient estimate individual data point well known CD yield biased gradient estimate paper however show empirically CD lower stochastic gradient estimate variance exact sampling mean subsequent PCD estimate higher variance exact sampling result give one explanation finding CD used smaller minibatches higher learning rate PCD Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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975
975
['Razvan Pascanu', 'Caglar Gulcehre', 'Kyunghyun Cho', 'Yoshua Bengio']
1312.6026v5
In this paper, we explore different ways to extend a recurrent neural network (RNN) to a \textit{deep} RNN. We start by arguing that the concept of depth in an RNN is not as clear as it is in feedforward neural networks. By carefully analyzing and understanding the architecture of an RNN, however, we find three points of an RNN which may be made deeper; (1) input-to-hidden function, (2) hidden-to-hidden transition and (3) hidden-to-output function. Based on this observation, we propose two novel architectures of a deep RNN which are orthogonal to an earlier attempt of stacking multiple recurrent layers to build a deep RNN (Schmidhuber, 1992; El Hihi and Bengio, 1996). We provide an alternative interpretation of these deep RNNs using a novel framework based on neural operators. The proposed deep RNNs are empirically evaluated on the tasks of polyphonic music prediction and language modeling. The experimental result supports our claim that the proposed deep RNNs benefit from the depth and outperform the conventional, shallow RNNs.
How to Construct Deep Recurrent Neural Networks
2,013
http://arxiv.org/pdf/1312.6026v5
Title Construct Deep Recurrent Neural Networks Summary paper explore different way extend recurrent neural network RNN textitdeep RNN start arguing concept depth RNN clear feedforward neural network carefully analyzing understanding architecture RNN however find three point RNN may made deeper 1 inputtohidden function 2 hiddentohidden transition 3 hiddentooutput function Based observation propose two novel architecture deep RNN orthogonal earlier attempt stacking multiple recurrent layer build deep RNN Schmidhuber 1992 El Hihi Bengio 1996 provide alternative interpretation deep RNNs using novel framework based neural operator proposed deep RNNs empirically evaluated task polyphonic music prediction language modeling experimental result support claim proposed deep RNNs benefit depth outperform conventional shallow RNNs Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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976
976
['David P. Reichert', 'Thomas Serre']
1312.6115v5
Deep learning has recently led to great successes in tasks such as image recognition (e.g Krizhevsky et al., 2012). However, deep networks are still outmatched by the power and versatility of the brain, perhaps in part due to the richer neuronal computations available to cortical circuits. The challenge is to identify which neuronal mechanisms are relevant, and to find suitable abstractions to model them. Here, we show how aspects of spike timing, long hypothesized to play a crucial role in cortical information processing, could be incorporated into deep networks to build richer, versatile representations. We introduce a neural network formulation based on complex-valued neuronal units that is not only biologically meaningful but also amenable to a variety of deep learning frameworks. Here, units are attributed both a firing rate and a phase, the latter indicating properties of spike timing. We show how this formulation qualitatively captures several aspects thought to be related to neuronal synchrony, including gating of information processing and dynamic binding of distributed object representations. Focusing on the latter, we demonstrate the potential of the approach in several simple experiments. Thus, neuronal synchrony could be a flexible mechanism that fulfills multiple functional roles in deep networks.
Neuronal Synchrony in Complex-Valued Deep Networks
2,013
http://arxiv.org/pdf/1312.6115v5
Title Neuronal Synchrony ComplexValued Deep Networks Summary Deep learning recently led great success task image recognition eg Krizhevsky et al 2012 However deep network still outmatched power versatility brain perhaps part due richer neuronal computation available cortical circuit challenge identify neuronal mechanism relevant find suitable abstraction model show aspect spike timing long hypothesized play crucial role cortical information processing could incorporated deep network build richer versatile representation introduce neural network formulation based complexvalued neuronal unit biologically meaningful also amenable variety deep learning framework unit attributed firing rate phase latter indicating property spike timing show formulation qualitatively capture several aspect thought related neuronal synchrony including gating information processing dynamic binding distributed object representation Focusing latter demonstrate potential approach several simple experiment Thus neuronal synchrony could flexible mechanism fulfills multiple functional role deep network Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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977
977
['David Warde-Farley', 'Ian J. Goodfellow', 'Aaron Courville', 'Yoshua Bengio']
1312.6197v2
The recently introduced dropout training criterion for neural networks has been the subject of much attention due to its simplicity and remarkable effectiveness as a regularizer, as well as its interpretation as a training procedure for an exponentially large ensemble of networks that share parameters. In this work we empirically investigate several questions related to the efficacy of dropout, specifically as it concerns networks employing the popular rectified linear activation function. We investigate the quality of the test time weight-scaling inference procedure by evaluating the geometric average exactly in small models, as well as compare the performance of the geometric mean to the arithmetic mean more commonly employed by ensemble techniques. We explore the effect of tied weights on the ensemble interpretation by training ensembles of masked networks without tied weights. Finally, we investigate an alternative criterion based on a biased estimator of the maximum likelihood ensemble gradient.
An empirical analysis of dropout in piecewise linear networks
2,013
http://arxiv.org/pdf/1312.6197v2
Title empirical analysis dropout piecewise linear network Summary recently introduced dropout training criterion neural network subject much attention due simplicity remarkable effectiveness regularizer well interpretation training procedure exponentially large ensemble network share parameter work empirically investigate several question related efficacy dropout specifically concern network employing popular rectified linear activation function investigate quality test time weightscaling inference procedure evaluating geometric average exactly small model well compare performance geometric mean arithmetic mean commonly employed ensemble technique explore effect tied weight ensemble interpretation training ensemble masked network without tied weight Finally investigate alternative criterion based biased estimator maximum likelihood ensemble gradient Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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978
978
['Ian J. Goodfellow', 'Mehdi Mirza', 'Da Xiao', 'Aaron Courville', 'Yoshua Bengio']
1312.6211v3
Catastrophic forgetting is a problem faced by many machine learning models and algorithms. When trained on one task, then trained on a second task, many machine learning models "forget" how to perform the first task. This is widely believed to be a serious problem for neural networks. Here, we investigate the extent to which the catastrophic forgetting problem occurs for modern neural networks, comparing both established and recent gradient-based training algorithms and activation functions. We also examine the effect of the relationship between the first task and the second task on catastrophic forgetting. We find that it is always best to train using the dropout algorithm--the dropout algorithm is consistently best at adapting to the new task, remembering the old task, and has the best tradeoff curve between these two extremes. We find that different tasks and relationships between tasks result in very different rankings of activation function performance. This suggests the choice of activation function should always be cross-validated.
An Empirical Investigation of Catastrophic Forgetting in Gradient-Based Neural Networks
2,013
http://arxiv.org/pdf/1312.6211v3
Title Empirical Investigation Catastrophic Forgetting GradientBased Neural Networks Summary Catastrophic forgetting problem faced many machine learning model algorithm trained one task trained second task many machine learning model forget perform first task widely believed serious problem neural network investigate extent catastrophic forgetting problem occurs modern neural network comparing established recent gradientbased training algorithm activation function also examine effect relationship first task second task catastrophic forgetting find always best train using dropout algorithmthe dropout algorithm consistently best adapting new task remembering old task best tradeoff curve two extreme find different task relationship task result different ranking activation function performance suggests choice activation function always crossvalidated Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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979
979
['Yaroslav Ganin', 'Victor Lempitsky']
1409.7495v2
Top-performing deep architectures are trained on massive amounts of labeled data. In the absence of labeled data for a certain task, domain adaptation often provides an attractive option given that labeled data of similar nature but from a different domain (e.g. synthetic images) are available. Here, we propose a new approach to domain adaptation in deep architectures that can be trained on large amount of labeled data from the source domain and large amount of unlabeled data from the target domain (no labeled target-domain data is necessary). As the training progresses, the approach promotes the emergence of "deep" features that are (i) discriminative for the main learning task on the source domain and (ii) invariant with respect to the shift between the domains. We show that this adaptation behaviour can be achieved in almost any feed-forward model by augmenting it with few standard layers and a simple new gradient reversal layer. The resulting augmented architecture can be trained using standard backpropagation. Overall, the approach can be implemented with little effort using any of the deep-learning packages. The method performs very well in a series of image classification experiments, achieving adaptation effect in the presence of big domain shifts and outperforming previous state-of-the-art on Office datasets.
Unsupervised Domain Adaptation by Backpropagation
2,014
http://arxiv.org/pdf/1409.7495v2
Title Unsupervised Domain Adaptation Backpropagation Summary Topperforming deep architecture trained massive amount labeled data absence labeled data certain task domain adaptation often provides attractive option given labeled data similar nature different domain eg synthetic image available propose new approach domain adaptation deep architecture trained large amount labeled data source domain large amount unlabeled data target domain labeled targetdomain data necessary training progress approach promotes emergence deep feature discriminative main learning task source domain ii invariant respect shift domain show adaptation behaviour achieved almost feedforward model augmenting standard layer simple new gradient reversal layer resulting augmented architecture trained using standard backpropagation Overall approach implemented little effort using deeplearning package method performs well series image classification experiment achieving adaptation effect presence big domain shift outperforming previous stateoftheart Office datasets Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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980
980
['Sherjil Ozair', 'Yoshua Bengio']
1410.0630v1
For discrete data, the likelihood $P(x)$ can be rewritten exactly and parametrized into $P(X = x) = P(X = x | H = f(x)) P(H = f(x))$ if $P(X | H)$ has enough capacity to put no probability mass on any $x'$ for which $f(x')\neq f(x)$, where $f(\cdot)$ is a deterministic discrete function. The log of the first factor gives rise to the log-likelihood reconstruction error of an autoencoder with $f(\cdot)$ as the encoder and $P(X|H)$ as the (probabilistic) decoder. The log of the second term can be seen as a regularizer on the encoded activations $h=f(x)$, e.g., as in sparse autoencoders. Both encoder and decoder can be represented by a deep neural network and trained to maximize the average of the optimal log-likelihood $\log p(x)$. The objective is to learn an encoder $f(\cdot)$ that maps $X$ to $f(X)$ that has a much simpler distribution than $X$ itself, estimated by $P(H)$. This "flattens the manifold" or concentrates probability mass in a smaller number of (relevant) dimensions over which the distribution factorizes. Generating samples from the model is straightforward using ancestral sampling. One challenge is that regular back-propagation cannot be used to obtain the gradient on the parameters of the encoder, but we find that using the straight-through estimator works well here. We also find that although optimizing a single level of such architecture may be difficult, much better results can be obtained by pre-training and stacking them, gradually transforming the data distribution into one that is more easily captured by a simple parametric model.
Deep Directed Generative Autoencoders
2,014
http://arxiv.org/pdf/1410.0630v1
Title Deep Directed Generative Autoencoders Summary discrete data likelihood Px rewritten exactly parametrized PX x PX x H fx PH fx PX H enough capacity put probability mass x fxneq fx fcdot deterministic discrete function log first factor give rise loglikelihood reconstruction error autoencoder fcdot encoder PXH probabilistic decoder log second term seen regularizer encoded activation hfx eg sparse autoencoders encoder decoder represented deep neural network trained maximize average optimal loglikelihood log px objective learn encoder fcdot map X fX much simpler distribution X estimated PH flattens manifold concentrate probability mass smaller number relevant dimension distribution factorizes Generating sample model straightforward using ancestral sampling One challenge regular backpropagation cannot used obtain gradient parameter encoder find using straightthrough estimator work well also find although optimizing single level architecture may difficult much better result obtained pretraining stacking gradually transforming data distribution one easily captured simple parametric model Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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981
981
['Pankaj Mehta', 'David J. Schwab']
1410.3831v1
Deep learning is a broad set of techniques that uses multiple layers of representation to automatically learn relevant features directly from structured data. Recently, such techniques have yielded record-breaking results on a diverse set of difficult machine learning tasks in computer vision, speech recognition, and natural language processing. Despite the enormous success of deep learning, relatively little is understood theoretically about why these techniques are so successful at feature learning and compression. Here, we show that deep learning is intimately related to one of the most important and successful techniques in theoretical physics, the renormalization group (RG). RG is an iterative coarse-graining scheme that allows for the extraction of relevant features (i.e. operators) as a physical system is examined at different length scales. We construct an exact mapping from the variational renormalization group, first introduced by Kadanoff, and deep learning architectures based on Restricted Boltzmann Machines (RBMs). We illustrate these ideas using the nearest-neighbor Ising Model in one and two-dimensions. Our results suggests that deep learning algorithms may be employing a generalized RG-like scheme to learn relevant features from data.
An exact mapping between the Variational Renormalization Group and Deep Learning
2,014
http://arxiv.org/pdf/1410.3831v1
Title exact mapping Variational Renormalization Group Deep Learning Summary Deep learning broad set technique us multiple layer representation automatically learn relevant feature directly structured data Recently technique yielded recordbreaking result diverse set difficult machine learning task computer vision speech recognition natural language processing Despite enormous success deep learning relatively little understood theoretically technique successful feature learning compression show deep learning intimately related one important successful technique theoretical physic renormalization group RG RG iterative coarsegraining scheme allows extraction relevant feature ie operator physical system examined different length scale construct exact mapping variational renormalization group first introduced Kadanoff deep learning architecture based Restricted Boltzmann Machines RBMs illustrate idea using nearestneighbor Ising Model one twodimensions result suggests deep learning algorithm may employing generalized RGlike scheme learn relevant feature data Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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982
982
['Erte Pan', 'Zhu Han']
1410.4599v2
In this paper, we present an infinite hierarchical non-parametric Bayesian model to extract the hidden factors over observed data, where the number of hidden factors for each layer is unknown and can be potentially infinite. Moreover, the number of layers can also be infinite. We construct the model structure that allows continuous values for the hidden factors and weights, which makes the model suitable for various applications. We use the Metropolis-Hastings method to infer the model structure. Then the performance of the algorithm is evaluated by the experiments. Simulation results show that the model fits the underlying structure of simulated data.
Non-parametric Bayesian Learning with Deep Learning Structure and Its Applications in Wireless Networks
2,014
http://arxiv.org/pdf/1410.4599v2
Title Nonparametric Bayesian Learning Deep Learning Structure Applications Wireless Networks Summary paper present infinite hierarchical nonparametric Bayesian model extract hidden factor observed data number hidden factor layer unknown potentially infinite Moreover number layer also infinite construct model structure allows continuous value hidden factor weight make model suitable various application use MetropolisHastings method infer model structure performance algorithm evaluated experiment Simulation result show model fit underlying structure simulated data Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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983
983
['Daniel Povey', 'Xiaohui Zhang', 'Sanjeev Khudanpur']
1410.7455v8
We describe the neural-network training framework used in the Kaldi speech recognition toolkit, which is geared towards training DNNs with large amounts of training data using multiple GPU-equipped or multi-core machines. In order to be as hardware-agnostic as possible, we needed a way to use multiple machines without generating excessive network traffic. Our method is to average the neural network parameters periodically (typically every minute or two), and redistribute the averaged parameters to the machines for further training. Each machine sees different data. By itself, this method does not work very well. However, we have another method, an approximate and efficient implementation of Natural Gradient for Stochastic Gradient Descent (NG-SGD), which seems to allow our periodic-averaging method to work well, as well as substantially improving the convergence of SGD on a single machine.
Parallel training of DNNs with Natural Gradient and Parameter Averaging
2,014
http://arxiv.org/pdf/1410.7455v8
Title Parallel training DNNs Natural Gradient Parameter Averaging Summary describe neuralnetwork training framework used Kaldi speech recognition toolkit geared towards training DNNs large amount training data using multiple GPUequipped multicore machine order hardwareagnostic possible needed way use multiple machine without generating excessive network traffic method average neural network parameter periodically typically every minute two redistribute averaged parameter machine training machine see different data method work well However another method approximate efficient implementation Natural Gradient Stochastic Gradient Descent NGSGD seems allow periodicaveraging method work well well substantially improving convergence SGD single machine Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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984
984
['Jan Chorowski', 'Dzmitry Bahdanau', 'Kyunghyun Cho', 'Yoshua Bengio']
1412.1602v1
We replace the Hidden Markov Model (HMM) which is traditionally used in in continuous speech recognition with a bi-directional recurrent neural network encoder coupled to a recurrent neural network decoder that directly emits a stream of phonemes. The alignment between the input and output sequences is established using an attention mechanism: the decoder emits each symbol based on a context created with a subset of input symbols elected by the attention mechanism. We report initial results demonstrating that this new approach achieves phoneme error rates that are comparable to the state-of-the-art HMM-based decoders, on the TIMIT dataset.
End-to-end Continuous Speech Recognition using Attention-based Recurrent NN: First Results
2,014
http://arxiv.org/pdf/1412.1602v1
Title Endtoend Continuous Speech Recognition using Attentionbased Recurrent NN First Results Summary replace Hidden Markov Model HMM traditionally used continuous speech recognition bidirectional recurrent neural network encoder coupled recurrent neural network decoder directly emits stream phoneme alignment input output sequence established using attention mechanism decoder emits symbol based context created subset input symbol elected attention mechanism report initial result demonstrating new approach achieves phoneme error rate comparable stateoftheart HMMbased decoder TIMIT dataset Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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985
985
['Hanie Sedghi', 'Anima Anandkumar']
1412.2693v4
We provide novel guaranteed approaches for training feedforward neural networks with sparse connectivity. We leverage on the techniques developed previously for learning linear networks and show that they can also be effectively adopted to learn non-linear networks. We operate on the moments involving label and the score function of the input, and show that their factorization provably yields the weight matrix of the first layer of a deep network under mild conditions. In practice, the output of our method can be employed as effective initializers for gradient descent.
Provable Methods for Training Neural Networks with Sparse Connectivity
2,014
http://arxiv.org/pdf/1412.2693v4
Title Provable Methods Training Neural Networks Sparse Connectivity Summary provide novel guaranteed approach training feedforward neural network sparse connectivity leverage technique developed previously learning linear network show also effectively adopted learn nonlinear network operate moment involving label score function input show factorization provably yield weight matrix first layer deep network mild condition practice output method employed effective initializers gradient descent Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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986
986
['Hana Ajakan', 'Pascal Germain', 'Hugo Larochelle', 'François Laviolette', 'Mario Marchand']
1412.4446v2
We introduce a new representation learning algorithm suited to the context of domain adaptation, in which data at training and test time come from similar but different distributions. Our algorithm is directly inspired by theory on domain adaptation suggesting that, for effective domain transfer to be achieved, predictions must be made based on a data representation that cannot discriminate between the training (source) and test (target) domains. We propose a training objective that implements this idea in the context of a neural network, whose hidden layer is trained to be predictive of the classification task, but uninformative as to the domain of the input. Our experiments on a sentiment analysis classification benchmark, where the target domain data available at training time is unlabeled, show that our neural network for domain adaption algorithm has better performance than either a standard neural network or an SVM, even if trained on input features extracted with the state-of-the-art marginalized stacked denoising autoencoders of Chen et al. (2012).
Domain-Adversarial Neural Networks
2,014
http://arxiv.org/pdf/1412.4446v2
Title DomainAdversarial Neural Networks Summary introduce new representation learning algorithm suited context domain adaptation data training test time come similar different distribution algorithm directly inspired theory domain adaptation suggesting effective domain transfer achieved prediction must made based data representation cannot discriminate training source test target domain propose training objective implement idea context neural network whose hidden layer trained predictive classification task uninformative domain input experiment sentiment analysis classification benchmark target domain data available training time unlabeled show neural network domain adaption algorithm better performance either standard neural network SVM even trained input feature extracted stateoftheart marginalized stacked denoising autoencoders Chen et al 2012 Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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987
987
['Philip Bachman', 'Ouais Alsharif', 'Doina Precup']
1412.4864v1
We formalize the notion of a pseudo-ensemble, a (possibly infinite) collection of child models spawned from a parent model by perturbing it according to some noise process. E.g., dropout (Hinton et. al, 2012) in a deep neural network trains a pseudo-ensemble of child subnetworks generated by randomly masking nodes in the parent network. We present a novel regularizer based on making the behavior of a pseudo-ensemble robust with respect to the noise process generating it. In the fully-supervised setting, our regularizer matches the performance of dropout. But, unlike dropout, our regularizer naturally extends to the semi-supervised setting, where it produces state-of-the-art results. We provide a case study in which we transform the Recursive Neural Tensor Network of (Socher et. al, 2013) into a pseudo-ensemble, which significantly improves its performance on a real-world sentiment analysis benchmark.
Learning with Pseudo-Ensembles
2,014
http://arxiv.org/pdf/1412.4864v1
Title Learning PseudoEnsembles Summary formalize notion pseudoensemble possibly infinite collection child model spawned parent model perturbing according noise process Eg dropout Hinton et al 2012 deep neural network train pseudoensemble child subnetworks generated randomly masking node parent network present novel regularizer based making behavior pseudoensemble robust respect noise process generating fullysupervised setting regularizer match performance dropout unlike dropout regularizer naturally extends semisupervised setting produce stateoftheart result provide case study transform Recursive Neural Tensor Network Socher et al 2013 pseudoensemble significantly improves performance realworld sentiment analysis benchmark Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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988
988
['David Sussillo', 'L. F. Abbott']
1412.6558v3
Training very deep networks is an important open problem in machine learning. One of many difficulties is that the norm of the back-propagated error gradient can grow or decay exponentially. Here we show that training very deep feed-forward networks (FFNs) is not as difficult as previously thought. Unlike when back-propagation is applied to a recurrent network, application to an FFN amounts to multiplying the error gradient by a different random matrix at each layer. We show that the successive application of correctly scaled random matrices to an initial vector results in a random walk of the log of the norm of the resulting vectors, and we compute the scaling that makes this walk unbiased. The variance of the random walk grows only linearly with network depth and is inversely proportional to the size of each layer. Practically, this implies a gradient whose log-norm scales with the square root of the network depth and shows that the vanishing gradient problem can be mitigated by increasing the width of the layers. Mathematical analyses and experimental results using stochastic gradient descent to optimize tasks related to the MNIST and TIMIT datasets are provided to support these claims. Equations for the optimal matrix scaling are provided for the linear and ReLU cases.
Random Walk Initialization for Training Very Deep Feedforward Networks
2,014
http://arxiv.org/pdf/1412.6558v3
Title Random Walk Initialization Training Deep Feedforward Networks Summary Training deep network important open problem machine learning One many difficulty norm backpropagated error gradient grow decay exponentially show training deep feedforward network FFNs difficult previously thought Unlike backpropagation applied recurrent network application FFN amount multiplying error gradient different random matrix layer show successive application correctly scaled random matrix initial vector result random walk log norm resulting vector compute scaling make walk unbiased variance random walk grows linearly network depth inversely proportional size layer Practically implies gradient whose lognorm scale square root network depth show vanishing gradient problem mitigated increasing width layer Mathematical analysis experimental result using stochastic gradient descent optimize task related MNIST TIMIT datasets provided support claim Equations optimal matrix scaling provided linear ReLU case Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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989
989
['Otto Fabius', 'Joost R. van Amersfoort']
1412.6581v6
In this paper we propose a model that combines the strengths of RNNs and SGVB: the Variational Recurrent Auto-Encoder (VRAE). Such a model can be used for efficient, large scale unsupervised learning on time series data, mapping the time series data to a latent vector representation. The model is generative, such that data can be generated from samples of the latent space. An important contribution of this work is that the model can make use of unlabeled data in order to facilitate supervised training of RNNs by initialising the weights and network state.
Variational Recurrent Auto-Encoders
2,014
http://arxiv.org/pdf/1412.6581v6
Title Variational Recurrent AutoEncoders Summary paper propose model combine strength RNNs SGVB Variational Recurrent AutoEncoder VRAE model used efficient large scale unsupervised learning time series data mapping time series data latent vector representation model generative data generated sample latent space important contribution work model make use unlabeled data order facilitate supervised training RNNs initialising weight network state Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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990
990
['Jan Rudy', 'Weiguang Ding', 'Daniel Jiwoong Im', 'Graham W. Taylor']
1412.6630v2
Regularization is essential when training large neural networks. As deep neural networks can be mathematically interpreted as universal function approximators, they are effective at memorizing sampling noise in the training data. This results in poor generalization to unseen data. Therefore, it is no surprise that a new regularization technique, Dropout, was partially responsible for the now-ubiquitous winning entry to ImageNet 2012 by the University of Toronto. Currently, Dropout (and related methods such as DropConnect) are the most effective means of regularizing large neural networks. These amount to efficiently visiting a large number of related models at training time, while aggregating them to a single predictor at test time. The proposed FaMe model aims to apply a similar strategy, yet learns a factorization of each weight matrix such that the factors are robust to noise.
Neural Network Regularization via Robust Weight Factorization
2,014
http://arxiv.org/pdf/1412.6630v2
Title Neural Network Regularization via Robust Weight Factorization Summary Regularization essential training large neural network deep neural network mathematically interpreted universal function approximators effective memorizing sampling noise training data result poor generalization unseen data Therefore surprise new regularization technique Dropout partially responsible nowubiquitous winning entry ImageNet 2012 University Toronto Currently Dropout related method DropConnect effective mean regularizing large neural network amount efficiently visiting large number related model training time aggregating single predictor test time proposed FaMe model aim apply similar strategy yet learns factorization weight matrix factor robust noise Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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991
991
['Shin-ichi Maeda']
1412.7003v3
Dropout is one of the key techniques to prevent the learning from overfitting. It is explained that dropout works as a kind of modified L2 regularization. Here, we shed light on the dropout from Bayesian standpoint. Bayesian interpretation enables us to optimize the dropout rate, which is beneficial for learning of weight parameters and prediction after learning. The experiment result also encourages the optimization of the dropout.
A Bayesian encourages dropout
2,014
http://arxiv.org/pdf/1412.7003v3
Title Bayesian encourages dropout Summary Dropout one key technique prevent learning overfitting explained dropout work kind modified L2 regularization shed light dropout Bayesian standpoint Bayesian interpretation enables u optimize dropout rate beneficial learning weight parameter prediction learning experiment result also encourages optimization dropout Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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992
992
['Zichao Yang', 'Marcin Moczulski', 'Misha Denil', 'Nando de Freitas', 'Alex Smola', 'Le Song', 'Ziyu Wang']
1412.7149v4
The fully connected layers of a deep convolutional neural network typically contain over 90% of the network parameters, and consume the majority of the memory required to store the network parameters. Reducing the number of parameters while preserving essentially the same predictive performance is critically important for operating deep neural networks in memory constrained environments such as GPUs or embedded devices. In this paper we show how kernel methods, in particular a single Fastfood layer, can be used to replace all fully connected layers in a deep convolutional neural network. This novel Fastfood layer is also end-to-end trainable in conjunction with convolutional layers, allowing us to combine them into a new architecture, named deep fried convolutional networks, which substantially reduces the memory footprint of convolutional networks trained on MNIST and ImageNet with no drop in predictive performance.
Deep Fried Convnets
2,014
http://arxiv.org/pdf/1412.7149v4
Title Deep Fried Convnets Summary fully connected layer deep convolutional neural network typically contain 90 network parameter consume majority memory required store network parameter Reducing number parameter preserving essentially predictive performance critically important operating deep neural network memory constrained environment GPUs embedded device paper show kernel method particular single Fastfood layer used replace fully connected layer deep convolutional neural network novel Fastfood layer also endtoend trainable conjunction convolutional layer allowing u combine new architecture named deep fried convolutional network substantially reduces memory footprint convolutional network trained MNIST ImageNet drop predictive performance Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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993
993
['Antti Rasmus', 'Harri Valpola', 'Tapani Raiko']
1504.08215v1
We show how a deep denoising autoencoder with lateral connections can be used as an auxiliary unsupervised learning task to support supervised learning. The proposed model is trained to minimize simultaneously the sum of supervised and unsupervised cost functions by back-propagation, avoiding the need for layer-wise pretraining. It improves the state of the art significantly in the permutation-invariant MNIST classification task.
Lateral Connections in Denoising Autoencoders Support Supervised Learning
2,015
http://arxiv.org/pdf/1504.08215v1
Title Lateral Connections Denoising Autoencoders Support Supervised Learning Summary show deep denoising autoencoder lateral connection used auxiliary unsupervised learning task support supervised learning proposed model trained minimize simultaneously sum supervised unsupervised cost function backpropagation avoiding need layerwise pretraining improves state art significantly permutationinvariant MNIST classification task Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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994
994
['Raja Giryes', 'Guillermo Sapiro', 'Alex M. Bronstein']
1504.08291v5
Three important properties of a classification machinery are: (i) the system preserves the core information of the input data; (ii) the training examples convey information about unseen data; and (iii) the system is able to treat differently points from different classes. In this work we show that these fundamental properties are satisfied by the architecture of deep neural networks. We formally prove that these networks with random Gaussian weights perform a distance-preserving embedding of the data, with a special treatment for in-class and out-of-class data. Similar points at the input of the network are likely to have a similar output. The theoretical analysis of deep networks here presented exploits tools used in the compressed sensing and dictionary learning literature, thereby making a formal connection between these important topics. The derived results allow drawing conclusions on the metric learning properties of the network and their relation to its structure, as well as providing bounds on the required size of the training set such that the training examples would represent faithfully the unseen data. The results are validated with state-of-the-art trained networks.
Deep Neural Networks with Random Gaussian Weights: A Universal Classification Strategy?
2,015
http://arxiv.org/pdf/1504.08291v5
Title Deep Neural Networks Random Gaussian Weights Universal Classification Strategy Summary Three important property classification machinery system preserve core information input data ii training example convey information unseen data iii system able treat differently point different class work show fundamental property satisfied architecture deep neural network formally prove network random Gaussian weight perform distancepreserving embedding data special treatment inclass outofclass data Similar point input network likely similar output theoretical analysis deep network presented exploit tool used compressed sensing dictionary learning literature thereby making formal connection important topic derived result allow drawing conclusion metric learning property network relation structure well providing bound required size training set training example would represent faithfully unseen data result validated stateoftheart trained network Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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995
995
['Zhiguang Wang', 'Tim Oates']
1506.00327v1
Inspired by recent successes of deep learning in computer vision, we propose a novel framework for encoding time series as different types of images, namely, Gramian Angular Summation/Difference Fields (GASF/GADF) and Markov Transition Fields (MTF). This enables the use of techniques from computer vision for time series classification and imputation. We used Tiled Convolutional Neural Networks (tiled CNNs) on 20 standard datasets to learn high-level features from the individual and compound GASF-GADF-MTF images. Our approaches achieve highly competitive results when compared to nine of the current best time series classification approaches. Inspired by the bijection property of GASF on 0/1 rescaled data, we train Denoised Auto-encoders (DA) on the GASF images of four standard and one synthesized compound dataset. The imputation MSE on test data is reduced by 12.18%-48.02% when compared to using the raw data. An analysis of the features and weights learned via tiled CNNs and DAs explains why the approaches work.
Imaging Time-Series to Improve Classification and Imputation
2,015
http://arxiv.org/pdf/1506.00327v1
Title Imaging TimeSeries Improve Classification Imputation Summary Inspired recent success deep learning computer vision propose novel framework encoding time series different type image namely Gramian Angular SummationDifference Fields GASFGADF Markov Transition Fields MTF enables use technique computer vision time series classification imputation used Tiled Convolutional Neural Networks tiled CNNs 20 standard datasets learn highlevel feature individual compound GASFGADFMTF image approach achieve highly competitive result compared nine current best time series classification approach Inspired bijection property GASF 01 rescaled data train Denoised Autoencoders DA GASF image four standard one synthesized compound dataset imputation MSE test data reduced 12184802 compared using raw data analysis feature weight learned via tiled CNNs DAs explains approach work Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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996
996
['Bart van Merriënboer', 'Dzmitry Bahdanau', 'Vincent Dumoulin', 'Dmitriy Serdyuk', 'David Warde-Farley', 'Jan Chorowski', 'Yoshua Bengio']
1506.00619v1
We introduce two Python frameworks to train neural networks on large datasets: Blocks and Fuel. Blocks is based on Theano, a linear algebra compiler with CUDA-support. It facilitates the training of complex neural network models by providing parametrized Theano operations, attaching metadata to Theano's symbolic computational graph, and providing an extensive set of utilities to assist training the networks, e.g. training algorithms, logging, monitoring, visualization, and serialization. Fuel provides a standard format for machine learning datasets. It allows the user to easily iterate over large datasets, performing many types of pre-processing on the fly.
Blocks and Fuel: Frameworks for deep learning
2,015
http://arxiv.org/pdf/1506.00619v1
Title Blocks Fuel Frameworks deep learning Summary introduce two Python framework train neural network large datasets Blocks Fuel Blocks based Theano linear algebra compiler CUDAsupport facilitates training complex neural network model providing parametrized Theano operation attaching metadata Theanos symbolic computational graph providing extensive set utility assist training network eg training algorithm logging monitoring visualization serialization Fuel provides standard format machine learning datasets allows user easily iterate large datasets performing many type preprocessing fly Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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997
997
['Zhiguang Wang', 'Tim Oates', 'James Lo']
1506.02690v3
This paper proposes a set of new error criteria and learning approaches, Adaptive Normalized Risk-Averting Training (ANRAT), to attack the non-convex optimization problem in training deep neural networks (DNNs). Theoretically, we demonstrate its effectiveness on global and local convexity lower-bounded by the standard $L_p$-norm error. By analyzing the gradient on the convexity index $\lambda$, we explain the reason why to learn $\lambda$ adaptively using gradient descent works. In practice, we show how this method improves training of deep neural networks to solve visual recognition tasks on the MNIST and CIFAR-10 datasets. Without using pretraining or other tricks, we obtain results comparable or superior to those reported in recent literature on the same tasks using standard ConvNets + MSE/cross entropy. Performance on deep/shallow multilayer perceptrons and Denoised Auto-encoders is also explored. ANRAT can be combined with other quasi-Newton training methods, innovative network variants, regularization techniques and other specific tricks in DNNs. Other than unsupervised pretraining, it provides a new perspective to address the non-convex optimization problem in DNNs.
Adaptive Normalized Risk-Averting Training For Deep Neural Networks
2,015
http://arxiv.org/pdf/1506.02690v3
Title Adaptive Normalized RiskAverting Training Deep Neural Networks Summary paper proposes set new error criterion learning approach Adaptive Normalized RiskAverting Training ANRAT attack nonconvex optimization problem training deep neural network DNNs Theoretically demonstrate effectiveness global local convexity lowerbounded standard Lpnorm error analyzing gradient convexity index lambda explain reason learn lambda adaptively using gradient descent work practice show method improves training deep neural network solve visual recognition task MNIST CIFAR10 datasets Without using pretraining trick obtain result comparable superior reported recent literature task using standard ConvNets MSEcross entropy Performance deepshallow multilayer perceptrons Denoised Autoencoders also explored ANRAT combined quasiNewton training method innovative network variant regularization technique specific trick DNNs unsupervised pretraining provides new perspective address nonconvex optimization problem DNNs Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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998
998
['Marylou Gabrié', 'Eric W. Tramel', 'Florent Krzakala']
1506.02914v2
Restricted Boltzmann machines are undirected neural networks which have been shown to be effective in many applications, including serving as initializations for training deep multi-layer neural networks. One of the main reasons for their success is the existence of efficient and practical stochastic algorithms, such as contrastive divergence, for unsupervised training. We propose an alternative deterministic iterative procedure based on an improved mean field method from statistical physics known as the Thouless-Anderson-Palmer approach. We demonstrate that our algorithm provides performance equal to, and sometimes superior to, persistent contrastive divergence, while also providing a clear and easy to evaluate objective function. We believe that this strategy can be easily generalized to other models as well as to more accurate higher-order approximations, paving the way for systematic improvements in training Boltzmann machines with hidden units.
Training Restricted Boltzmann Machines via the Thouless-Anderson-Palmer Free Energy
2,015
http://arxiv.org/pdf/1506.02914v2
Title Training Restricted Boltzmann Machines via ThoulessAndersonPalmer Free Energy Summary Restricted Boltzmann machine undirected neural network shown effective many application including serving initialization training deep multilayer neural network One main reason success existence efficient practical stochastic algorithm contrastive divergence unsupervised training propose alternative deterministic iterative procedure based improved mean field method statistical physic known ThoulessAndersonPalmer approach demonstrate algorithm provides performance equal sometimes superior persistent contrastive divergence also providing clear easy evaluate objective function believe strategy easily generalized model well accurate higherorder approximation paving way systematic improvement training Boltzmann machine hidden unit Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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999
999
['Oriol Vinyals', 'Meire Fortunato', 'Navdeep Jaitly']
1506.03134v2
We introduce a new neural architecture to learn the conditional probability of an output sequence with elements that are discrete tokens corresponding to positions in an input sequence. Such problems cannot be trivially addressed by existent approaches such as sequence-to-sequence and Neural Turing Machines, because the number of target classes in each step of the output depends on the length of the input, which is variable. Problems such as sorting variable sized sequences, and various combinatorial optimization problems belong to this class. Our model solves the problem of variable size output dictionaries using a recently proposed mechanism of neural attention. It differs from the previous attention attempts in that, instead of using attention to blend hidden units of an encoder to a context vector at each decoder step, it uses attention as a pointer to select a member of the input sequence as the output. We call this architecture a Pointer Net (Ptr-Net). We show Ptr-Nets can be used to learn approximate solutions to three challenging geometric problems -- finding planar convex hulls, computing Delaunay triangulations, and the planar Travelling Salesman Problem -- using training examples alone. Ptr-Nets not only improve over sequence-to-sequence with input attention, but also allow us to generalize to variable size output dictionaries. We show that the learnt models generalize beyond the maximum lengths they were trained on. We hope our results on these tasks will encourage a broader exploration of neural learning for discrete problems.
Pointer Networks
2,015
http://arxiv.org/pdf/1506.03134v2
Title Pointer Networks Summary introduce new neural architecture learn conditional probability output sequence element discrete token corresponding position input sequence problem cannot trivially addressed existent approach sequencetosequence Neural Turing Machines number target class step output depends length input variable Problems sorting variable sized sequence various combinatorial optimization problem belong class model solves problem variable size output dictionary using recently proposed mechanism neural attention differs previous attention attempt instead using attention blend hidden unit encoder context vector decoder step us attention pointer select member input sequence output call architecture Pointer Net PtrNet show PtrNets used learn approximate solution three challenging geometric problem finding planar convex hull computing Delaunay triangulation planar Travelling Salesman Problem using training example alone PtrNets improve sequencetosequence input attention also allow u generalize variable size output dictionary show learnt model generalize beyond maximum length trained hope result task encourage broader exploration neural learning discrete problem Authors 0 Ahmed Osman Wojciech Samek 1 Ji Young Lee Franck Dernoncourt 2 Iulian Vlad Serban Tim Klinger Gerald Tesau 3 Sebastian Ruder Joachim Bingel Isabelle Aug 4 Iulian V Serban Chinnadhurai Sankar Mathie 40995 Vitaly Feldman Pravesh Kothari Jan Vondrák 40996 Orly Avner Shie Mannor 40997 Ran Zhao Deanna Needell Christopher Johanse 40998 Zongyan Huang Matthew England David Wilson 40999 Imen Trabelsi Dorra Ben Ayed Name author Length 41000 dtype object
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