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---
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# For reference on model card metadata, see the spec: https://github.com/huggingface/hub-docs/blob/main/modelcard.md?plain=1
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# Doc / guide: https://huggingface.co/docs/hub/model-cards
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datasets:
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- emnlp2023/Calc-gsm8k
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- emnlp2023/Calc-aqua_rat
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- emnlp2023/Calc-math_qa
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- emnlp2023/Calc-ape210k
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metrics:
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- exact_match
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- rouge
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model-index:
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- name: Calc-FLAN-t5-xl
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results:
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- task:
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type: question-answering
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name: Question Answering
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dataset:
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type: gsm8k
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name: GSM8K
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split: validation
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metrics:
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- type: exact_match
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value: 0.495
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- type: rouge
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value: 0.655
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license: apache-2.0
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language:
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- en
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---
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# Model Card for Calc-FLAN-t5-xl
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<!-- Provide a quick summary of what the model is/does. -->
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This model generates reasoning chains over mathematical questions while **using an external tool: Sympy calculator**.
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## Model Details
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### Model Description
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<!-- Provide a longer summary of what this model is. -->
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With the idea to offload a symbolic reasoning from the stochastic language model,
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we train this model to utilize a calculator **for all applicable numeric operations**.
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This is achieved by training the model to construct calls to the tool's API in this format:
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```html
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<gadget id="calculator">100/2</gadget> <output>50</output>
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```
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where `<gadget>` segment triggers a call of the tool,
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which is subsequently served by extending model's decoder input context by adding the output of the tool within the `<output>` segment.
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- **Developed by:** Anonymous
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- **Model type:** Autoregressive Encoder-Decoder
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- **Language(s):** en
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- **Finetuned from:** google/flan-t5-xl
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### Model Sources
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<!-- Provide the basic links for the model. -->
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- **Repository:** https://github.com/emnlp2023/gadgets
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- **Paper:** Stay tuned!
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## Usage
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Additionally to conventional generation, using Tool-augmented generation requires
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(1) implementation of the tool(s) and
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(2) a customization of generate() method augmenting input context on-demand with the outputs of the tools.
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You can find these two components implemented in the attached **gadget_assisted_model.py** and **gadget.py** in this model's repo
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and the project's [home repo](https://github.com/emnlp2023/gadgets).
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After adding these two scripts to your directory, you can use the model as follows:
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```python
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from gadget_assisted_model import GadgetAssistedModel
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from gadget import Calculator
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from transformers import T5ForConditionalGeneration, T5Tokenizer
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class GadgetAssistedT5(GadgetAssistedModel, T5ForConditionalGeneration):
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# GadgetAssistedModel overrides the standard generate() from transformers
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pass
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model = GadgetAssistedT5.from_pretrained("emnlp2023/Calc-FLAN-t5-xl")
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tokenizer = T5Tokenizer.from_pretrained("emnlp2023/Calc-FLAN-t5-xl")
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model.prepare_for_generate(tokenizer,
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enabled_gadgets=[Calculator()],
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default_max_tokens=512)
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query = """
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The profit from a business transaction is shared among 2 business partners,
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Mike and Johnson in the ratio 2:5 respectively.
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If Johnson got $2500, how much will Mike have
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after spending some of his share on a shirt that costs $200?
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"""
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inputs = tokenizer(query, return_tensors="pt")
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output_ids = model.generate(**inputs)
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tokenizer.decode(output_ids[0], spaces_between_special_tokens=False)
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```
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This returns:
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```html
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According to the ratio, Mike got 2/5*$2500 = $<gadget id="calculator">2/5*2500</gadget><output>1_000</output> 1000
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Mike will have $1000-$200 = $<gadget id="calculator">1000-200</gadget><output>800</output> 800 after buying a shirt.
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Final result is<result>800</result></s>
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```
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### Out-of-Scope Usage
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<!-- This section addresses misuse, malicious use, and uses that the model will not work well for. -->
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Note that given the limited scope of the exercises' complexity in the training, this model will not work well for tasks requiring
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more complex algebraic operations, including equations, variables and operations outside the scope of (+-*/).
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## Training Details
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### Training Data
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<!-- This should link to a Data Card, perhaps with a short stub of information on what the training data is all about as well as documentation related to data pre-processing or additional filtering. -->
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This model was trained on our [Calculator-augmented set of GSM8K, aqua_rat, math_qa, ape210k](https://huggingface.co/datasets/gsm8k,https://huggingface.co/datasets/aqua_rat,https://huggingface.co/datasets/math_qa,https://huggingface.co/datasets/ape210k),
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in a standard auto-regressive setup i.e. for a conditional next-token prediction with teacher-forced prefix.
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### Training Procedure
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<!-- This relates heavily to the Technical Specifications. Content here should link to that section when it is relevant to the training procedure. -->
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The model was fine-tuned from [google/flan-t5-xl](https://huggingface.co/google/flan-t5-xl) for TODO steps
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aiming to maximise exact-match ration on a validation split of the questions from [gsm8k dataset](https://huggingface.co/datasets/gsm8k).
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We fine-tune only TODO of the parameters finding that this circumvents overfitting to relatively small training dataset.
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The full training configuration can be identified from the [training script](https://github.com/emnlp2023/gadgets/blob/9185d1fc4b4812321179f8e5cad3e2f2a764f1df/examples/train_gsm8k_flan-t5-slice.py).
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