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December 10, 2021 14:12
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Code for the report: "Fidget with the Digit: Comparing Engineered Featuresand Machine Learning Models on the MNIST Dataset"
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Code for the report: \"Fidget with the Digit: Comparing Engineered Featuresand Machine Learning Models on the MNIST Dataset\"\n", | |
| "\n", | |
| "Mees Meester (6458955) [email protected]\n", | |
| "\n", | |
| "Yochem van Rosmalen (6500137) [email protected]\n", | |
| "\n", | |
| "Florian van der Steen (9773541) [email protected]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# !pip install matplotlib numpy sklearn scikit-image opencv-python statsmodels" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "cell_id": "00000-408a9e9b-069a-46fb-9f11-3ae11a9045e2", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 17097, | |
| "execution_start": 1639139924242, | |
| "source_hash": "2d3b25d7", | |
| "tags": [] | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "import cv2\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import numpy as np\n", | |
| "import sklearn\n", | |
| "import sklearn\n", | |
| "import statsmodels\n", | |
| "\n", | |
| "from skimage.filters import threshold_otsu\n", | |
| "from sklearn.linear_model import LogisticRegression\n", | |
| "from sklearn.metrics import balanced_accuracy_score\n", | |
| "from sklearn.model_selection import GridSearchCV, train_test_split\n", | |
| "from sklearn.neural_network import MLPClassifier\n", | |
| "from sklearn.svm import SVC\n", | |
| "from statsmodels.stats.contingency_tables import mcnemar" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "cell_id": "00001-cbbffb54-b435-4bc7-80c5-89f934fe798f", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 2649, | |
| "execution_start": 1639139942537, | |
| "source_hash": "f37f5e20", | |
| "tags": [] | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "mnist = np.loadtxt('mnist.csv', delimiter=',', skiprows=1)\n", | |
| "mnist_y = mnist[:, 0]\n", | |
| "mnist_x = mnist[:, 1:]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "cell_id": "00002-5a73dbe2-c851-44a0-a0ab-471457195070", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| 21.1875 | |
| ], | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 30, | |
| "execution_start": 1639139945187, | |
| "source_hash": "8b012cde", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "((42000, 784), (42000,))" | |
| ] | |
| }, | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "mnist_x.shape, mnist_y.shape" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "cell_id": "00006-b2b781a4-12d2-4f09-a870-6ce4587f3ea8", | |
| "deepnote_cell_type": "markdown", | |
| "tags": [] | |
| }, | |
| "source": [ | |
| "## Multinomial Logit" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": { | |
| "cell_id": "00007-80a0ea1b-8035-4140-9879-6e8dfa094d20", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| 264 | |
| ], | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 13635, | |
| "execution_start": 1639139948084, | |
| "source_hash": "b3205628", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "'Balanced accuracy score for ink feature: 0.2157091119950727'" | |
| ] | |
| }, | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "ink = np.array([sum(row) for row in mnist_x])\n", | |
| "\n", | |
| "# reshape needed to transpose data\n", | |
| "ink_scaled = sklearn.preprocessing.scale(ink).reshape(-1, 1)\n", | |
| "\n", | |
| "# fit model on all ink data\n", | |
| "lr = LogisticRegression(multi_class='multinomial')\n", | |
| "lr.fit(ink_scaled, mnist_y)\n", | |
| "\n", | |
| "# predict on all data\n", | |
| "Y_pred_ink = lr.predict(ink_scaled)\n", | |
| "\n", | |
| "# and show confusion matrix\n", | |
| "cm1 = sklearn.metrics.ConfusionMatrixDisplay(sklearn.metrics.confusion_matrix(mnist_y, Y_pred_ink))\n", | |
| "cm1.plot()\n", | |
| "plt.show()\n", | |
| "\n", | |
| "f\"Balanced accuracy score for ink feature: {balanced_accuracy_score(mnist_y, Y_pred_ink)}\"" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": { | |
| "cell_id": "00004-c7914496-9f4f-44b7-94b6-3d65c4a0da8f", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| null, | |
| 21.1875 | |
| ], | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 6, | |
| "execution_start": 1639139961726, | |
| "source_hash": "2cf7bd48", | |
| "tags": [] | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def compactness(img):\n", | |
| " \"\"\"\n", | |
| " This function measures the area from the leftmost to rightmost and\n", | |
| " uppermost and lowestmost point of a digit.\n", | |
| " \"\"\"\n", | |
| " img = img.reshape(28, 28)\n", | |
| " height, width = img.shape\n", | |
| "\n", | |
| " # threshold image with Otsu threshold method\n", | |
| " img = img > threshold_otsu(img)\n", | |
| "\n", | |
| " # sort the list of indices of nonzero elements for both axis\n", | |
| " top_down_edges, left_right_edges = map(np.sort, np.nonzero(img))\n", | |
| " \n", | |
| " # minimal value at front is left edge, maximal value at the end is right edge\n", | |
| " left_edge = left_right_edges[0]\n", | |
| " right_edge = left_right_edges[-1]\n", | |
| " \n", | |
| " # as is the same for the other axis\n", | |
| " top_edge = top_down_edges[0]\n", | |
| " bottom_edge = top_down_edges[-1]\n", | |
| "\n", | |
| " # formula for area of square\n", | |
| " return (right_edge - left_edge) * (bottom_edge - top_edge)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": { | |
| "cell_id": "00008-1ea16038-b7c9-46a0-abb8-5896a8c53f95", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| 250, | |
| null, | |
| null, | |
| null, | |
| 250 | |
| ], | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 8056, | |
| "execution_start": 1639139961738, | |
| "output_cleared": false, | |
| "source_hash": "86894b7c", | |
| "tags": [] | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# Calculate compactness of all the images in mnist dataset\n", | |
| "areas = np.apply_along_axis(compactness, 1, mnist_x)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": { | |
| "cell_id": "00009-e31dffc8-79ab-4ccb-8b71-3e7d95f13de2", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| 264 | |
| ], | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 1736, | |
| "execution_start": 1639139969801, | |
| "source_hash": "16577b29", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Balanced accuracy score for area feature: 0.20775677585422994\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# reshape needed to transpose data\n", | |
| "areas = sklearn.preprocessing.scale(areas).reshape(-1, 1)\n", | |
| "\n", | |
| "# fit model on all ink data\n", | |
| "lr = LogisticRegression(multi_class='multinomial')\n", | |
| "lr.fit(areas, mnist_y)\n", | |
| "\n", | |
| "# predict on all data\n", | |
| "Y_pred_area = lr.predict(areas)\n", | |
| "\n", | |
| "# and show confusion matrix\n", | |
| "cm2 = sklearn.metrics.ConfusionMatrixDisplay(sklearn.metrics.confusion_matrix(mnist_y, Y_pred_area))\n", | |
| "cm2.plot()\n", | |
| "plt.show()\n", | |
| "\n", | |
| "print(f\"Balanced accuracy score for area feature: {balanced_accuracy_score(mnist_y, Y_pred_area)}\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": { | |
| "cell_id": "00009-961657af-fd18-457b-bc00-14ce1eb116d6", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| null, | |
| 264 | |
| ], | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 2189, | |
| "execution_start": 1639139971536, | |
| "source_hash": "dc082834", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "'Balanced accuracy score for combined feature: 0.265716531443546'" | |
| ] | |
| }, | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "combined = np.array([areas[:,0], ink_scaled[:,0]]).T\n", | |
| "\n", | |
| "lr = LogisticRegression(multi_class='multinomial')\n", | |
| "lr.fit(combined, mnist_y)\n", | |
| "\n", | |
| "# predict on all data\n", | |
| "Y_pred_comb = lr.predict(combined)\n", | |
| "\n", | |
| "# and show confusion matrix\n", | |
| "cm3 = sklearn.metrics.ConfusionMatrixDisplay(sklearn.metrics.confusion_matrix(mnist_y, Y_pred_comb))\n", | |
| "cm3.plot()\n", | |
| "plt.show()\n", | |
| "\n", | |
| "f\"Balanced accuracy score for combined feature: {balanced_accuracy_score(mnist_y, Y_pred_comb)}\"" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": { | |
| "cell_id": "00010-33014df7-a2c9-4f81-bef6-caab2870a03c", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| 278.5625, | |
| 421.140625 | |
| ], | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 4691, | |
| "execution_start": 1639139998556, | |
| "source_hash": "b80ad36b", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1440x720 with 3 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "from itertools import product\n", | |
| "\n", | |
| "def text(cm, ax):\n", | |
| " text_ = np.empty_like(cm, dtype=object)\n", | |
| " n_classes = 10\n", | |
| " # print text with appropriate color depending on background\n", | |
| " thresh = (cm.max() + cm.min()) / 2.0\n", | |
| "\n", | |
| " for i, j in product(range(n_classes), range(n_classes)):\n", | |
| " color = 'white' if cm[i, j] < thresh else 'black'\n", | |
| "\n", | |
| " text_cm = format(cm[i, j], \".2g\")\n", | |
| " if cm.dtype.kind != \"f\":\n", | |
| " text_d = format(cm[i, j], \"d\")\n", | |
| " if len(text_d) < len(text_cm):\n", | |
| " text_cm = text_d\n", | |
| " else:\n", | |
| " text_cm = format(cm[i, j], values_format)\n", | |
| "\n", | |
| " text_[i, j] = ax.text(\n", | |
| " j, i, text_cm, ha=\"center\", va=\"center\", color=color\n", | |
| " )\n", | |
| " return text_\n", | |
| "\n", | |
| "fig, axs = plt.subplots(1, 3, tight_layout=False, figsize=(20, 10), gridspec_kw={\n", | |
| " 'height_ratios': [1]\n", | |
| "})\n", | |
| "\n", | |
| "cfm_ink = sklearn.metrics.confusion_matrix(mnist_y, Y_pred_ink)\n", | |
| "axs[0].set_title('Ink feature')\n", | |
| "axs[0].set_xticks(np.arange(10))\n", | |
| "axs[0].set_yticks(np.arange(10))\n", | |
| "axs[0].imshow(cfm_ink)\n", | |
| "text(cfm_ink, axs[0])\n", | |
| "\n", | |
| "\n", | |
| "cfm_area = sklearn.metrics.confusion_matrix(mnist_y, Y_pred_area)\n", | |
| "axs[1].set_title('Area feature')\n", | |
| "axs[1].set_xticks(np.arange(10))\n", | |
| "axs[1].set_yticks(np.arange(10))\n", | |
| "axs[1].imshow(cfm_area)\n", | |
| "text(cfm_area, axs[1])\n", | |
| "\n", | |
| "\n", | |
| "cfm_comb = sklearn.metrics.confusion_matrix(mnist_y, Y_pred_comb)\n", | |
| "axs[2].set_title('Both features')\n", | |
| "axs[2].set_xticks(np.arange(10))\n", | |
| "axs[2].set_yticks(np.arange(10))\n", | |
| "im = axs[2].imshow(cfm_comb)\n", | |
| "text(cfm_comb, axs[2])\n", | |
| "\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "cell_id": "00011-70361129-7418-4953-b343-c8e9e8dee54b", | |
| "deepnote_cell_type": "markdown", | |
| "tags": [] | |
| }, | |
| "source": [ | |
| "## Data organisation" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00010-3ac26cd1-798e-4ed1-a654-0f5fcd124b91", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": false, | |
| "execution_millis": 926, | |
| "execution_start": 1639139828583, | |
| "source_hash": "3715859", | |
| "tags": [] | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# resize input images data to 14 x 14 \n", | |
| "mnist_x = [cv2.resize(img.reshape(28, 28).astype('uint8'), (14,14)).flatten() for img in mnist_x]\n", | |
| "\n", | |
| "# select 5000 datapoints with same seed\n", | |
| "X_train, X_test, y_train, y_test = train_test_split(mnist_x, mnist_y, test_size=37000, train_size=5000, random_state=217)\n", | |
| "\n", | |
| "y_train.size, y_test.size" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00012-4b6bea90-2083-4866-89d6-8350e06c0919", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 4, | |
| "execution_start": 1638996061866, | |
| "source_hash": "be62697f", | |
| "tags": [] | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def GridSearchCVfit(clf, param_grid, X_train, y_train):\n", | |
| " \"\"\"\n", | |
| " Use grid search for given classifier, to evaluate given parameters on the trainingsset with \n", | |
| " cross-validation. Return the best parameters, score and estimator.\n", | |
| " \"\"\"\n", | |
| " # Use same model selection method as with the other classifiers\n", | |
| " grid_scores = GridSearchCV(estimator=clf, param_grid = param_grid, \n", | |
| " scoring='balanced_accuracy', n_jobs=-1, refit=True, cv=3, verbose=2)\n", | |
| "\n", | |
| " # Use same trainingset as with the other classifiers\n", | |
| " grid_scores.fit(X_train, y_train)\n", | |
| " return grid_scores.best_estimator_, grid_scores.best_params_, grid_scores.best_score_" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00014-22638f98-9748-4ad2-bfa6-5c19abbd2ba6", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 117376, | |
| "execution_start": 1638986306691, | |
| "source_hash": "fc351256", | |
| "tags": [] | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "lr = LogisticRegression(solver='newton-cg', C=4/9)\n", | |
| "lr.fit(X_train, y_train)\n", | |
| "y_pred = lr.predict(X_test)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00015-da844e35-1091-4137-b734-08ca5ee7d161", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| 21.1875 | |
| ], | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 21, | |
| "execution_start": 1638970403609, | |
| "source_hash": "ea7d4369", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "0.8368568895496795" | |
| ] | |
| }, | |
| "execution_count": 38, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "balanced_accuracy_score(y_test, y_pred)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00013-fc0dc1e1-3e5c-4f5d-aed5-c21e20fff474", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 2657096, | |
| "execution_start": 1638975287049, | |
| "source_hash": "a08adbbb", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Fitting 3 folds for each of 40 candidates, totalling 120 fits\n", | |
| "/shared-libs/python3.7/py/lib/python3.7/site-packages/sklearn/linear_model/_sag.py:354: ConvergenceWarning: The max_iter was reached which means the coef_ did not converge\n", | |
| " ConvergenceWarning,\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "logit = LogisticRegression()\n", | |
| "logit_estimator, logit_params, logit_score = GridSearchCVfit(logit, {'solver': ['newton-cg', 'sag', 'saga', 'lbfgs'], \n", | |
| " 'C': np.linspace(0.1, 2, 10)}, X_train, y_train)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00017-f4290366-c23b-4665-9f87-3faa7c7b1cf2", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 7, | |
| "execution_start": 1638977989810, | |
| "source_hash": "dbdd37b8", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "LogisticRegression(C=0.7333333333333333, solver='saga') {'C': 0.7333333333333333, 'solver': 'saga'} 0.8912504390506015\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "logit_estimator, logit_params, logit_score" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00018-57db3e4e-89ac-4a56-b41d-96aa7c5830a1", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| 21.1875 | |
| ], | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 65297, | |
| "execution_start": 1638973600992, | |
| "source_hash": "8c128215", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "0.9435759744406231" | |
| ] | |
| }, | |
| "execution_count": 46, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "svc = SVC(kernel=\"rbf\", shrinking=False, C=4/9)\n", | |
| "svc.fit(X_train, y_train)\n", | |
| "y_pred = svc.predict(X_test)\n", | |
| "balanced_accuracy_score(y_test, y_pred)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00014-99d9e242-29f2-4a6a-ba7c-4cbc588628c4", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 531207, | |
| "execution_start": 1638974731077, | |
| "source_hash": "9f65878a", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Fitting 3 folds for each of 80 candidates, totalling 240 fits\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "svc = SVC()\n", | |
| "svc_estimator, svc_params, svc_score = GridSearchCVfit(svc, {\"kernel\":[\"linear\", \"poly\", \"rbf\", \"sigmoid\"], \n", | |
| " \"shrinking\":[True, False], \n", | |
| " \"C\":np.linspace(0.1, 2, 10)}, X_train, y_train)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00020-c2223729-1cad-4fa9-8acb-1860657a42ef", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 219, | |
| "execution_start": 1638975269152, | |
| "source_hash": "87451337", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "SVC(C=2.0) {'C': 2.0, 'kernel': 'rbf', 'shrinking': True} 0.949118912420671\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "svc_estimator, svc_params, svc_score" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00021-4e9d20e8-fae6-4829-83b4-9abd9cfd7731", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| 21.1875 | |
| ], | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 15940, | |
| "execution_start": 1638986435535, | |
| "source_hash": "7c754bb4", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "0.8933887168674636" | |
| ] | |
| }, | |
| "execution_count": 16, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "mlp = MLPClassifier(solver=\"adam\", max_iter=500, early_stopping=True, alpha=0.6, activation=\"tanh\")\n", | |
| "mlp.fit(X_train, y_train)\n", | |
| "y_pred = mlp.predict(X_test)\n", | |
| "balanced_accuracy_score(y_test, y_pred)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00015-e824221a-5860-47d6-81e0-77d351e9d92b", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 2667567, | |
| "execution_start": 1638996073774, | |
| "source_hash": "44a36e75", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Fitting 3 folds for each of 120 candidates, totalling 360 fits\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "mlp = MLPClassifier()\n", | |
| "mlp_estimator, mlp_params, mlp_score = GridSearchCVfit(mlp, {'max_iter':[500], 'early_stopping':[True],\n", | |
| " 'alpha':np.linspace(0.1, 2, 10), 'activation':['identity', 'logistic', \n", | |
| " 'tanh', 'relu'], 'solver':['lbfgs', 'sgd', 'adam']}, \n", | |
| " X_train, y_train)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00023-a8982450-11fe-40f8-8a02-9fa8df27fd6c", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 2, | |
| "execution_start": 1638998741341, | |
| "source_hash": "ad9b60fb", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "MLPClassifier(alpha=1.788888888888889, early_stopping=True, max_iter=500,\n", | |
| " solver='lbfgs') {'activation': 'relu', 'alpha': 1.788888888888889, 'early_stopping': True, 'max_iter': 500, 'solver': 'lbfgs'} 0.9469374345588459\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "mlp_estimator, mlp_params, mlp_score" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00024-72a762e4-2180-4dc9-ada6-7baa9050cde7", | |
| "deepnote_cell_type": "code", | |
| "deepnote_output_heights": [ | |
| null, | |
| 21.1875 | |
| ], | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 72846, | |
| "execution_start": 1639051387953, | |
| "source_hash": "76be736a", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/shared-libs/python3.7/py/lib/python3.7/site-packages/sklearn/linear_model/_sag.py:354: ConvergenceWarning: The max_iter was reached which means the coef_ did not converge\n", | |
| " ConvergenceWarning,\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "SVC(C=2.0)" | |
| ] | |
| }, | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "lr = LogisticRegression(C=0.7333333333333333, solver='saga')\n", | |
| "lr.fit(X_train, y_train)\n", | |
| "\n", | |
| "mlp = MLPClassifier(alpha=1.788888888888889, early_stopping=True, max_iter=500, solver='lbfgs')\n", | |
| "mlp.fit(X_train, y_train)\n", | |
| "\n", | |
| "svc = SVC(C=2.0)\n", | |
| "svc.fit(X_train, y_train)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00016-43b3a344-b9ad-4524-9bfc-14098e5c03cd", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 72105, | |
| "execution_start": 1639051518821, | |
| "source_hash": "4e9da9ac", | |
| "tags": [] | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "lr_pred = np.array(lr.predict(X_test))\n", | |
| "svc_pred = np.array(svc.predict(X_test))\n", | |
| "\n", | |
| "# make contingency table for mcneymar statistical test\n", | |
| "table = np.zeros((2,2))\n", | |
| "\n", | |
| "\n", | |
| "results = np.vstack((lr_pred == y_test, svc_pred == y_test)).T\n", | |
| "\n", | |
| "# where both are correct\n", | |
| "table[0, 0] = len(results[(results[:, 0] == True) & (results[:, 1] == True)])\n", | |
| "\n", | |
| "# where lr is incorrect and svc is correct\n", | |
| "table[1, 0] = len(results[(results[:, 0] == True) & (results[:, 1] == False)])\n", | |
| "\n", | |
| "# where svc is incorrect and lr is correct\n", | |
| "table[0, 1] = len(results[(results[:, 0] == False) & (results[:, 1] == True)])\n", | |
| "\n", | |
| "# where both are incorrect\n", | |
| "table[1, 1] = len(results[(results[:, 0] == False) & (results[:, 1] == False)])\n", | |
| "\n", | |
| "print(table)\n", | |
| "\n", | |
| "result = mcnemar(table, exact=True)\n", | |
| "\n", | |
| "\n", | |
| "result.pvalue, result.statistic" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00023-6ff6bcda-a5b3-41c7-a32e-755bcc67737c", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 513, | |
| "execution_start": 1639051612903, | |
| "source_hash": "b5ca49cb", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "[[34737. 685.]\n", | |
| " [ 455. 1123.]]\n", | |
| "1.0102328330193827e-11 455.0\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# svc_pred = np.array(svc_estimator.predict(X_test))\n", | |
| "mlp_pred = np.array(mlp.predict(X_test))\n", | |
| "\n", | |
| "# make contingency table for mcneymar statistical test\n", | |
| "table = np.zeros((2,2))\n", | |
| "\n", | |
| "\n", | |
| "results = np.vstack((mlp_pred == y_test, svc_pred == y_test)).T\n", | |
| "\n", | |
| "# where both are correct\n", | |
| "table[0, 0] = len(results[(results[:, 0] == True) & (results[:, 1] == True)])\n", | |
| "\n", | |
| "# where mlp is incorrect and svc is correct\n", | |
| "table[1, 0] = len(results[(results[:, 0] == True) & (results[:, 1] == False)])\n", | |
| "\n", | |
| "# where svc is incorrect and mlp is correct\n", | |
| "table[0, 1] = len(results[(results[:, 0] == False) & (results[:, 1] == True)])\n", | |
| "\n", | |
| "# where both are incorrect\n", | |
| "table[1, 1] = len(results[(results[:, 0] == False) & (results[:, 1] == False)])\n", | |
| "\n", | |
| "print(table)\n", | |
| "\n", | |
| "result = mcnemar(table, exact=True)\n", | |
| "\n", | |
| "\n", | |
| "result.pvalue, result.statistic" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00027-9651f293-48a1-4a93-8466-f8a333a925f8", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "execution_millis": 51, | |
| "execution_start": 1639052146033, | |
| "source_hash": "80dca6d9", | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Balanced accuracy for Logistic Regression model: 0.8938746368707763\n", | |
| "Balanced accuracy for Support Vector Machines model: 0.9570942611056807\n", | |
| "Balanced accuracy for Feed-forward Neural Network model: 0.9507167231404402\n", | |
| "Based McNemars test p = 1.0102328330193827e-11, SVC's are the best choice for mnist\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "print(f\"Balanced accuracy for Logistic Regression model: {balanced_accuracy_score(lr_pred, y_test)}\")\n", | |
| "print(f\"Balanced accuracy for Support Vector Machines model: {balanced_accuracy_score(svc_pred, y_test)}\")\n", | |
| "print(f\"Balanced accuracy for Feed-forward Neural Network model: {balanced_accuracy_score(mlp_pred, y_test)}\")\n", | |
| "\n", | |
| "print(f\"Based McNemars test p = {result.pvalue}, SVC's are the best choice for mnist\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "cell_id": "00028-e94abab9-b963-4121-bdd5-7bed5fcc73f9", | |
| "deepnote_cell_type": "code", | |
| "deepnote_to_be_reexecuted": true, | |
| "source_hash": "b623e53d", | |
| "tags": [] | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "deepnote": { | |
| "is_reactive": false | |
| }, | |
| "deepnote_execution_queue": [], | |
| "deepnote_notebook_id": "a18ffdf7-11f3-431d-bbaf-47b635dc8d2c", | |
| "kernelspec": { | |
| "display_name": "Python 3 (ipykernel)", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.8.12" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 4 | |
| } |
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