{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "pRH_gttfQxQh" }, "source": [ "# Midterm - Spring 2023\n", "\n", "## Problem 1: Take-at-home (45 points total)\n", "\n", "You are applying for a position at the data science team of USDA and you are given data associated with determining appropriate parasite treatment of canines. The suggested treatment options are determined based on a **logistic regression** model that predicts if the canine is infected with a parasite. \n", "\n", "The data is given in the site: https://data.world/ehales/grls-parasite-study/workspace/file?filename=CBC_data.csv and more specifically in the CBC_data.csv file. Login using you University Google account to access the data and the description that includes a paper on the study (**you dont need to read the paper to solve this problem**). Your target variable $y$ column is titled `parasite_status`. \n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "CoiEtjQ8QxQj" }, "source": [ "### Question 1 - Feature Engineering (5 points)\n", "\n", "Write the posterior probability expressions for logistic regression for the problem you are given to solve." ] }, { "cell_type": "markdown", "metadata": { "id": "n42W1fM0QxQk" }, "source": [ "$$p(y=1| \\mathbf{x}, \\mathbf w) = \\frac{p(\\mathbf{x}|y=1) p(y=1)}{p(\\mathbf{x}|y=1) p(y=1) + p(\\mathbf{x}|y=0) p(y=0)} = \\sigma(\\alpha)$$\n", "\n", "$$p(y=0| \\mathbf{x}, \\mathbf w)= \\frac{p(\\mathbf{x}|y=0) p(y=0)}{p(\\mathbf{x}|y=1) p(y=1) + p(\\mathbf{x}|y=0) p(y=0)} = 1- \\sigma(\\alpha)$$\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "rU1eTlwrQxQk" }, "source": [ "\n", "\n", "### Question 2 - Decision Boundary (5 points)\n", "\n", "Write the expression for the decision boundary assuming that $p(y=1)=p(y=0)$. The decision boundary is the line that separates the two classes.\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "Swv9EfmQQxQl" }, "source": [ "$w^{t}x = 0.5$" ] }, { "cell_type": "markdown", "metadata": { "id": "SBfQ6HWyQxQm" }, "source": [ "\n", "\n", "### Question 3 - Loss function (5 points)\n", "\n", "Write the expression of the loss as a function of $\\mathbf w$ that makes sense for you to use in this problem. \n", "\n", "NOTE: The loss will be a function that will include this function: \n", "\n", "$$\\sigma(a) = \\frac{1}{1+e^{-a}}$$\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "edUlQKLDQxQn" }, "source": [ "$$L_{CE} = - \\big[ \\sum_{i=1}^m \\{y_i \\ln \\sigma (w^{t}x) + (1-y_i) \\ln (1-\\sigma(w^{t}x)) \\} \\big]$$\n", " " ] }, { "cell_type": "markdown", "metadata": { "id": "Bwa4btxCQxQn" }, "source": [ "\n", "### Question 4 - Gradient (5 points)\n", "\n", "Write the expression of the gradient of the loss with respect to the parameters - show all your work.\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "wyUjD-z-QxQo" }, "source": [ "$$ \\nabla_\\mathbf w L_{CE} = - \\big[ \\sum_{i=1}^m \\{y_i \\ln w_{i}x + (1-y_i) \\ln (1-w_{i}x) \\} \\big]$$![IMG_6433.JPG](data:image/jpeg;base64,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)\n" ] }, { "cell_type": "markdown", "metadata": { "id": "fzW22G-iQxQp" }, "source": [ "### Question 5 - Imbalanced dataset (10 points)\n", "\n", "You are now told that in the dataset \n", "\n", "$$p(y=0) >> p(y=1)$$\n", "\n", "Can you comment if the accuracy of Logistic Regression will be affected by such imbalance?\n", "\n", "The accuracy of this Logistic Regression will be affected as the training algorithm must be updated to take the imbalanced distribution into account. By specifying a class weight configuration, there will be less penalizations for errors made on examples from the majority class and more on the errors made on examples from the minority class." ] }, { "cell_type": "markdown", "metadata": { "id": "6PReRDuIQxQq" }, "source": [ "\n", "### Question 6 - SGD (15 points)\n", "\n", "The interviewer was impressed with your answers and wants to test your programming skills. \n", "\n", "1. Use the dataset to train a logistic regressor that will predict the target variable $y$. \n", "\n", " 2. Report the harmonic mean of precision (p) and recall (r) i.e the [metric called $F_1$ score](https://en.wikipedia.org/wiki/F-score) that is calculated as shown below using a test dataset that is 20% of each group. Plot the $F_1$ score vs the iteration number $t$. \n", "\n", "$$F_1 = \\frac{2}{r^{-1} + p^{-1}}$$\n", "\n", "Your code includes hyperparameter optimization of the learning rate and mini batch size. Please learn about cross validation which is a splitting strategy for tuning models [here](https://scikit-learn.org/stable/modules/cross_validation.html).\n", "\n", "You are allowed to use any library you want to code this problem.\n", "\n" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "hhW0SDx8QxQq", "outputId": "b955490d-566a-42e6-fa53-35108eb939eb" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "pos 0.12087912087912087\n", "neg 0.6172248803827752\n", "pos 0.11249999999999998\n", "neg 0.6772727272727272\n", "pos 0.05263157894736842\n", "neg 0.6785714285714286\n", "pos 0.16666666666666669\n", "neg 0.5707070707070707\n", "pos 0.04054054054054055\n", "neg 0.6844444444444444\n", "pos 0.05031446540880504\n", "neg 0.6560364464692484\n", "pos 0.08139534883720931\n", "neg 0.6291079812206573\n", "pos 0.03389830508474576\n", "neg 0.5938242280285037\n", "pos 0.1408450704225352\n", "neg 0.5246753246753247\n", "pos 0.11235955056179775\n", "neg 0.8447937131630648\n" ] } ], "source": [ "from pandas._libs.lib import tuples_to_object_array\n", "import pandas\n", "import numpy as np\n", "from sklearn.linear_model import SGDClassifier\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.pipeline import make_pipeline\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.model_selection import KFold\n", "from sklearn.utils.class_weight import compute_class_weight\n", "from sklearn.metrics import f1_score\n", "\n", "df = pandas.read_csv(\"sample_data/CBC_data.csv\")\n", "\n", "df[\"SEX\"] = df[\"SEX\"].astype(\"category\")\n", "df[\"TYPEAREA\"] = df[\"TYPEAREA\"].astype(\"category\")\n", "df[\"SEX.REPRO\"] = df[\"SEX.REPRO\"].astype(\"category\")\n", "df[\"REPRO.STATUS\"] = df[\"REPRO.STATUS\"].astype(\"category\")\n", "df[\"PARASITE_STATUS\"] = df[\"PARASITE_STATUS\"].astype(\"category\")\n", "cat_columns = df.select_dtypes(['category']).columns\n", "cat_columns\n", "df[cat_columns] = df[cat_columns].apply(lambda x: x.cat.codes)\n", "\n", "#print(df[\"PARASITE_STATUS\"])\n", "\n", "df[\"AGE\"]=(df[\"AGE\"]-df[\"AGE\"].mean())/df[\"AGE\"].std()\n", "df[\"RBC\"]=(df[\"RBC\"]-df[\"RBC\"].mean())/df[\"RBC\"].std()\n", "df[\"HGB\"]=(df[\"HGB\"]-df[\"HGB\"].mean())/df[\"HGB\"].std()\n", "df[\"WBC\"]=(df[\"WBC\"]-df[\"WBC\"].mean())/df[\"WBC\"].std()\n", "df[\"EOS.CNT\"]=(df[\"EOS.CNT\"]-df[\"EOS.CNT\"].mean())/df[\"EOS.CNT\"].std()\n", "df[\"MONO.CNT\"]=(df[\"MONO.CNT\"]-df[\"MONO.CNT\"].mean())/df[\"MONO.CNT\"].std()\n", "df[\"LYMP.CNT\"]=(df[\"LYMP.CNT\"]-df[\"LYMP.CNT\"].mean())/df[\"LYMP.CNT\"].std()\n", "df[\"NUT.CNT\"]=(df[\"NUT.CNT\"]-df[\"NUT.CNT\"].mean())/df[\"NUT.CNT\"].std()\n", "df[\"PL.CNT\"]=(df[\"PL.CNT\"]-df[\"PL.CNT\"].mean())/df[\"PL.CNT\"].std()\n", "\n", "df = df.dropna()\n", "X = df[[\"SEX.REPRO\", \"AGE\", \"RBC\", \"HGB\", \"WBC\", \"EOS.CNT\", \"MONO.CNT\", \"NUT.CNT\", \"PL.CNT\", \"LYMP.CNT\"]]\n", "Y = df[\"PARASITE_STATUS\"]\n", "\n", "def fscore_function(model, testX, testY):\n", " prediction = model.predict(testX)\n", " return f1_score(testY, prediction, pos_label = 1)\n", "\n", "kf = KFold(n_splits=10)\n", "kf.get_n_splits(X)\n", "MINI_BATCH_SIZE = 10\n", "a = compute_class_weight(class_weight = 'balanced', classes = [0,1], y = Y)\n", "b = {0: a[0],\n", " 1: a[1]}\n", "f_scores = []\n", "for i, (train_index, test_index) in enumerate(kf.split(X)):\n", " test_X = X.iloc[test_index]\n", " test_Y = Y.iloc[test_index]\n", " train_X = X.iloc[train_index]\n", " train_Y = Y.iloc[train_index]\n", " clf = SGDClassifier(max_iter=1000, tol=1e-3, eta0 = 150, class_weight = b)\n", " for j in range(0, len(train_index), MINI_BATCH_SIZE):\n", " batchX = train_X[j: min(j+MINI_BATCH_SIZE, len(train_index))]\n", " batchY = train_Y[j: min(j+ MINI_BATCH_SIZE, len(train_index))]\n", " clf.partial_fit(batchX, batchY, classes = [0, 1])\n", " f_scores.append(fscore_function(clf, test_X, test_Y))\n", "\n" ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "plt.plot(f_scores)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 282 }, "id": "XOS5ad62eh5X", "outputId": "03b67e27-91e9-4ca6-ee3c-50df2a85bf7e" }, "execution_count": 47, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": {}, "execution_count": 47 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" 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