{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# LEARNING APPLICATIONS\n", "\n", "In this notebook we will take a look at some indicative applications of machine learning techniques. We will cover content from [`learning.py`](https://github.com/aimacode/aima-python/blob/master/learning.py), for chapter 18 from Stuart Russel's and Peter Norvig's book [*Artificial Intelligence: A Modern Approach*](http://aima.cs.berkeley.edu/). Execute the cell below to get started:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from learning import *\n", "from notebook import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CONTENTS\n", "\n", "* MNIST Handwritten Digits\n", " * Loading and Visualising\n", " * Testing\n", "* MNIST Fashion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MNIST HANDWRITTEN DIGITS CLASSIFICATION\n", "\n", "The MNIST Digits database, available from [this page](http://yann.lecun.com/exdb/mnist/), is a large database of handwritten digits that is commonly used for training and testing/validating in Machine learning.\n", "\n", "The dataset has **60,000 training images** each of size 28x28 pixels with labels and **10,000 testing images** of size 28x28 pixels with labels.\n", "\n", "In this section, we will use this database to compare performances of different learning algorithms.\n", "\n", "It is estimated that humans have an error rate of about **0.2%** on this problem. Let's see how our algorithms perform!\n", "\n", "NOTE: We will be using external libraries to load and visualize the dataset smoothly ([numpy](http://www.numpy.org/) for loading and [matplotlib](http://matplotlib.org/) for visualization). You do not need previous experience of the libraries to follow along." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Loading MNIST Digits Data\n", "\n", "Let's start by loading MNIST data into numpy arrays.\n", "\n", "The function `load_MNIST()` loads MNIST data from files saved in `aima-data/MNIST`. It returns four numpy arrays that we are going to use to train and classify hand-written digits in various learning approaches." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "train_img, train_lbl, test_img, test_lbl = load_MNIST()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check the shape of these NumPy arrays to make sure we have loaded the database correctly.\n", "\n", "Each 28x28 pixel image is flattened to a 784x1 array and we should have 60,000 of them in training data. Similarly, we should have 10,000 of those 784x1 arrays in testing data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training images size: (60000, 784)\n", "Training labels size: (60000,)\n", "Testing images size: (10000, 784)\n", "Testing labels size: (10000,)\n" ] } ], "source": [ "print(\"Training images size:\", train_img.shape)\n", "print(\"Training labels size:\", train_lbl.shape)\n", "print(\"Testing images size:\", test_img.shape)\n", "print(\"Testing labels size:\", test_lbl.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing Data\n", "\n", "To get a better understanding of the dataset, let's visualize some random images for each class from training and testing datasets." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# takes 5-10 seconds to execute this\n", "show_MNIST(train_lbl, train_img)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# takes 5-10 seconds to execute this\n", "show_MNIST(test_lbl, test_img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's have a look at the average of all the images of training and testing data." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average of all images in training dataset.\n", "Digit 0 : 5923 images.\n", "Digit 1 : 6742 images.\n", "Digit 2 : 5958 images.\n", "Digit 3 : 6131 images.\n", "Digit 4 : 5842 images.\n", "Digit 5 : 5421 images.\n", "Digit 6 : 5918 images.\n", "Digit 7 : 6265 images.\n", "Digit 8 : 5851 images.\n", "Digit 9 : 5949 images.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Average of all images in testing dataset.\n", "Digit 0 : 980 images.\n", "Digit 1 : 1135 images.\n", "Digit 2 : 1032 images.\n", "Digit 3 : 1010 images.\n", "Digit 4 : 982 images.\n", "Digit 5 : 892 images.\n", "Digit 6 : 958 images.\n", "Digit 7 : 1028 images.\n", "Digit 8 : 974 images.\n", "Digit 9 : 1009 images.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"Average of all images in training dataset.\")\n", "show_ave_MNIST(train_lbl, train_img)\n", "\n", "print(\"Average of all images in testing dataset.\")\n", "show_ave_MNIST(test_lbl, test_img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Testing\n", "\n", "Now, let us convert this raw data into `DataSet.examples` to run our algorithms defined in `learning.py`. Every image is represented by 784 numbers (28x28 pixels) and we append them with its label or class to make them work with our implementations in learning module." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(60000, 784) (60000,)\n", "(60000, 785)\n" ] } ], "source": [ "print(train_img.shape, train_lbl.shape)\n", "temp_train_lbl = train_lbl.reshape((60000,1))\n", "training_examples = np.hstack((train_img, temp_train_lbl))\n", "print(training_examples.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we will initialize a DataSet with our training examples, so we can use it in our algorithms." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# takes ~10 seconds to execute this\n", "MNIST_DataSet = DataSet(examples=training_examples, distance=manhattan_distance)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "784" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MNIST_DataSet.target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Moving forward we can use `MNIST_DataSet` to test our algorithms." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plurality Learner\n", "\n", "The Plurality Learner always returns the class with the most training samples. In this case, `1`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n" ] } ], "source": [ "pL = PluralityLearner(MNIST_DataSet)\n", "print(pL(177))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Actual class of test image: 8\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAD8CAYAAAC4nHJkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAADcpJREFUeJzt3V+oXfWZxvHnMW0vTHuhSUyCjZNOkSSDF3Y8yoA6OhTzZyjEhlQaZJIypSlaYSpzMTEKFYZjwmAy06vCKYYm0NoWco6GprYNMhgHiiYGqTYnbaVk2kxC/mChlghF887FWSnHePZvney99l47eb8fkP3n3Wuvlx2fs9bev7XWzxEhAPlc03YDANpB+IGkCD+QFOEHkiL8QFKEH0iK8ANJEX4gKcIPJPWRQa7MNocTAn0WEZ7N63ra8ttebftXtt+yvaWX9wIwWO722H7bcyT9WtJ9kk5IOiRpQ0QcLSzDlh/os0Fs+e+Q9FZE/DYi/izp+5LW9vB+AAaol/DfKOn30x6fqJ77ANubbR+2fbiHdQFoWC8/+M20a/Gh3fqIGJM0JrHbDwyTXrb8JyQtmfb4k5JO9tYOgEHpJfyHJN1s+1O2Pybpi5L2NdMWgH7rerc/It6z/Yikn0qaI2lXRPyysc4A9FXXQ31drYzv/EDfDeQgHwBXLsIPJEX4gaQIP5AU4QeSIvxAUoQfSIrwA0kRfiApwg8kRfiBpAg/kBThB5Ii/EBShB9IivADSRF+ICnCDyRF+IGkCD+QFOEHkiL8QFKEH0iK8ANJEX4gKcIPJEX4gaQIP5AU4QeS6nqKbkmyfVzSO5Lel/ReRIw00RSas2DBgmL9pZdeKtaXLVtWrNvlCWEnJyc71sbHx4vLbtu2rVg/f/58sY6ynsJf+YeIONfA+wAYIHb7gaR6DX9I+pnt12xvbqIhAIPR627/nRFx0vYNkg7YPhYRB6e/oPqjwB8GYMj0tOWPiJPV7RlJE5LumOE1YxExwo+BwHDpOvy259r+xMX7klZKerOpxgD0Vy+7/QslTVRDPR+R9L2I+EkjXQHoO0fE4FZmD25liZTG8nfs2FFc9sEHHyzW6/7/qBvnLy1ft+zExESxvn79+mI9q4gof7AVhvqApAg/kBThB5Ii/EBShB9IivADSTHUdxVYvXp1x9r+/fuLy9YNt42OjhbrBw4cKNaXL1/esVY3zHjXXXcV64sWLSrWz549W6xfrRjqA1BE+IGkCD+QFOEHkiL8QFKEH0iK8ANJMc5/FTh9+nTH2rx584rLPvfcc8X6xo0bi/VeLp+9atWqYr3uGIWHH364WB8bG7vsnq4GjPMDKCL8QFKEH0iK8ANJEX4gKcIPJEX4gaSamKUXfbZ5c3m2s9Klu+uO42jz8tfnzpUnd6671gB6w5YfSIrwA0kRfiApwg8kRfiBpAg/kBThB5KqHee3vUvS5ySdiYhbqueul/QDSUslHZf0QET8oX9t5la69r1UHssfHx9vup3GrFixolgf5LUmMprNlv87ki6dFWKLpBcj4mZJL1aPAVxBasMfEQclvX3J02sl7a7u75Z0f8N9Aeizbr/zL4yIU5JU3d7QXEsABqHvx/bb3iypfHA6gIHrdst/2vZiSapuz3R6YUSMRcRIRIx0uS4AfdBt+PdJ2lTd3yTp+WbaATAoteG3/aykn0taZvuE7S9L2i7pPtu/kXRf9RjAFaT2O39EbOhQ+mzDvaCDu+++u1gvnfded13+fisdo7B169bisnXn8x88eLCrnjCFI/yApAg/kBThB5Ii/EBShB9IivADSXHp7iFQd8puXf3s2bMday+//HJXPc1WXW+HDh3qWLv22muLyx49erRYP3bsWLGOMrb8QFKEH0iK8ANJEX4gKcIPJEX4gaQIP5AU4/xDYM2aNcV63Xj4u+++22Q7l2V0dLRYL/Ved8ru9u1cJqKf2PIDSRF+ICnCDyRF+IGkCD+QFOEHkiL8QFKM8w+BuvPW66aqnjdvXsfazp07i8s+9NBDxfqePXuK9ZUrVxbrTLM9vNjyA0kRfiApwg8kRfiBpAg/kBThB5Ii/EBSrhuHtb1L0ucknYmIW6rnnpT0FUkXLxi/NSJ+XLsym0HfLrzwwgvF+qpVqzrWZvHvW6z3uvz4+HjH2rp163pa95w5c4r1rCKi/I9Smc2W/zuSVs/w/H9GxK3Vf7XBBzBcasMfEQclvT2AXgAMUC/f+R+x/Qvbu2xf11hHAAai2/B/S9KnJd0q6ZSkHZ1eaHuz7cO2D3e5LgB90FX4I+J0RLwfERckfVvSHYXXjkXESESMdNskgOZ1FX7bi6c9/LykN5tpB8Cg1J7Sa/tZSfdKmm/7hKRvSLrX9q2SQtJxSV/tY48A+qA2/BGxYYann+lDL+ig7tr4N910U8fasmXLelp33Vj7U089Vaxv27atY21ycrK47GOPPVasP/7448V63eeWHUf4AUkRfiApwg8kRfiBpAg/kBThB5KqPaW30ZVxSm9fPProox1rTz/9dHHZulNyR0bKB2YeOXKkWC+57bbbivVXX321p3Xffvvtl93T1aDJU3oBXIUIP5AU4QeSIvxAUoQfSIrwA0kRfiAppui+CmzZsqVjre44jomJiWL92LFjXfXUhLre58+f33X93LlzXfV0NWHLDyRF+IGkCD+QFOEHkiL8QFKEH0iK8ANJMc5/FViwYEHHWt1Y+fr165tupzF11xqoG6tnLL+MLT+QFOEHkiL8QFKEH0iK8ANJEX4gKcIPJFU7zm97iaQ9khZJuiBpLCK+aft6ST+QtFTScUkPRMQf+tdqXsuXLy/WS2P5g5yX4XKtWLGiWK/rvW6Kb5TNZsv/nqR/jYgVkv5O0tds/42kLZJejIibJb1YPQZwhagNf0Sciogj1f13JE1KulHSWkm7q5ftlnR/v5oE0LzL+s5ve6mkz0h6RdLCiDglTf2BkHRD080B6J9ZH9tv++OS9kr6ekT8se6462nLbZa0ubv2APTLrLb8tj+qqeB/NyLGq6dP215c1RdLOjPTshExFhEjEVGe8RHAQNWG31Ob+GckTUbEzmmlfZI2Vfc3SXq++fYA9MtsdvvvlPRPkt6w/Xr13FZJ2yX90PaXJf1O0hf60yLuueeeYv2aazr/Db9w4ULT7XzA3Llzi/U9e/Z0rK1bt6647JkzM+5M/sXGjRuLdZTVhj8i/kdSpy/4n222HQCDwhF+QFKEH0iK8ANJEX4gKcIPJEX4gaS4dPcVoO7U1tJYft2ydacL1xkdHS3W165d27F29OjR4rJr1qzpqifMDlt+ICnCDyRF+IGkCD+QFOEHkiL8QFKEH0jKg7y0s+3hvY70EKsbiz948GDH2rx584rLlq4FINVfD6Bu+b1793asPfHEE8Vljx07VqxjZhExq2vsseUHkiL8QFKEH0iK8ANJEX4gKcIPJEX4gaQY578KrFq1qmNt//79xWXrpl2rO+d++/btxfrExETH2vnz54vLojuM8wMoIvxAUoQfSIrwA0kRfiApwg8kRfiBpGrH+W0vkbRH0iJJFySNRcQ3bT8p6SuSzlYv3RoRP655L8b5gT6b7Tj/bMK/WNLiiDhi+xOSXpN0v6QHJP0pIp6ebVOEH+i/2Ya/dsaeiDgl6VR1/x3bk5Ju7K09AG27rO/8tpdK+oykV6qnHrH9C9u7bF/XYZnNtg/bPtxTpwAaNetj+21/XNJLkkYjYtz2QknnJIWkf9fUV4N/rnkPdvuBPmvsO78k2f6opB9J+mlE7JyhvlTSjyLilpr3IfxAnzV2Yo+nTvt6RtLk9OBXPwRe9HlJb15ukwDaM5tf+++S9LKkNzQ11CdJWyVtkHSrpnb7j0v6avXjYOm92PIDfdbobn9TCD/Qf5zPD6CI8ANJEX4gKcIPJEX4gaQIP5AU4QeSIvxAUoQfSIrwA0kRfiApwg8kRfiBpAg/kFTtBTwbdk7S/057PL96bhgNa2/D2pdEb91qsre/mu0LB3o+/4dWbh+OiJHWGigY1t6GtS+J3rrVVm/s9gNJEX4gqbbDP9by+kuGtbdh7Uuit2610lur3/kBtKftLT+AlrQSfturbf/K9lu2t7TRQye2j9t+w/brbU8xVk2Ddsb2m9Oeu972Adu/qW5nnCatpd6etP1/1Wf3uu1/bKm3Jbb/2/ak7V/a/pfq+VY/u0JfrXxuA9/ttz1H0q8l3SfphKRDkjZExNGBNtKB7eOSRiKi9TFh238v6U+S9lycDcn2f0h6OyK2V384r4uIfxuS3p7UZc7c3KfeOs0s/SW1+Nk1OeN1E9rY8t8h6a2I+G1E/FnS9yWtbaGPoRcRByW9fcnTayXtru7v1tT/PAPXobehEBGnIuJIdf8dSRdnlm71syv01Yo2wn+jpN9Pe3xCwzXld0j6me3XbG9uu5kZLLw4M1J1e0PL/VyqdubmQbpkZumh+ey6mfG6aW2Ef6bZRIZpyOHOiPhbSWskfa3avcXsfEvSpzU1jdspSTvabKaaWXqvpK9HxB/b7GW6Gfpq5XNrI/wnJC2Z9viTkk620MeMIuJkdXtG0oSmvqYMk9MXJ0mtbs+03M9fRMTpiHg/Ii5I+rZa/OyqmaX3SvpuRIxXT7f+2c3UV1ufWxvhPyTpZtufsv0xSV+UtK+FPj7E9tzqhxjZnitppYZv9uF9kjZV9zdJer7FXj5gWGZu7jSztFr+7IZtxutWDvKphjL+S9IcSbsiYnTgTczA9l9ramsvTZ3x+L02e7P9rKR7NXXW12lJ35D0nKQfSrpJ0u8kfSEiBv7DW4fe7tVlztzcp946zSz9ilr87Jqc8bqRfjjCD8iJI/yApAg/kBThB5Ii/EBShB9IivADSRF+ICnCDyT1/zuzOYWa4hAXAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "print(\"Actual class of test image:\", test_lbl[177])\n", "plt.imshow(test_img[177].reshape((28,28)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is obvious that this Learner is not very efficient. In fact, it will guess correctly in only 1135/10000 of the samples, roughly 10%. It is very fast though, so it might have its use as a quick first guess." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Naive-Bayes\n", "\n", "The Naive-Bayes classifier is an improvement over the Plurality Learner. It is much more accurate, but a lot slower." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7\n" ] } ], "source": [ "# takes ~45 Secs. to execute this\n", "\n", "nBD = NaiveBayesLearner(MNIST_DataSet, continuous = False)\n", "print(nBD(test_img[0]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make sure that the output we got is correct, let's plot that image along with its label." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Actual class of test image: 7\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAD8CAYAAAC4nHJkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAADQNJREFUeJzt3W+MVfWdx/HPZylNjPQBWLHEgnQb3bgaAzoaE3AzamxYbYKN1NQHGzbZMH2AZps0ZA1PypMmjemfrU9IpikpJtSWhFbRGBeDGylRGwejBYpQICzMgkAzJgUT0yDfPphDO8W5v3u5/84dv+9XQube8z1/vrnhM+ecOefcnyNCAPL5h7obAFAPwg8kRfiBpAg/kBThB5Ii/EBShB9IivADSRF+IKnP9HNjtrmdEOixiHAr83W057e9wvZB24dtP9nJugD0l9u9t9/2LEmHJD0gaVzSW5Iei4jfF5Zhzw/0WD/2/HdJOhwRRyPiz5J+IWllB+sD0EedhP96SSemvB+vpv0d2yO2x2yPdbAtAF3WyR/8pju0+MRhfUSMShqVOOwHBkkne/5xSQunvP+ipJOdtQOgXzoJ/1uSbrT9JduflfQNSdu70xaAXmv7sD8iLth+XNL/SJolaVNE7O9aZwB6qu1LfW1tjHN+oOf6cpMPgJmL8ANJEX4gKcIPJEX4gaQIP5AU4QeSIvxAUoQfSIrwA0kRfiApwg8kRfiBpAg/kBThB5Ii/EBShB9IivADSRF+ICnCDyRF+IGkCD+QFOEHkiL8QFKEH0iK8ANJEX4gKcIPJEX4gaTaHqJbkmwfk3RO0seSLkTEUDeaAtB7HYW/cm9E/LEL6wHQRxz2A0l1Gv6QtMP2Htsj3WgIQH90eti/LCJO2p4v6RXb70XErqkzVL8U+MUADBhHRHdWZG+QdD4ivl+YpzsbA9BQRLiV+do+7Ld9te3PXXot6SuS9rW7PgD91clh/3WSfm370np+HhEvd6UrAD3XtcP+ljbGYT/Qcz0/7AcwsxF+ICnCDyRF+IGkCD+QFOEHkurGU30prFq1qmFtzZo1xWVPnjxZrH/00UfF+pYtW4r1999/v2Ht8OHDxWWRF3t+ICnCDyRF+IGkCD+QFOEHkiL8QFKEH0iKR3pbdPTo0Ya1xYsX96+RaZw7d65hbf/+/X3sZLCMj483rD311FPFZcfGxrrdTt/wSC+AIsIPJEX4gaQIP5AU4QeSIvxAUoQfSIrn+VtUemb/tttuKy574MCBYv3mm28u1m+//fZifXh4uGHt7rvvLi574sSJYn3hwoXFeicuXLhQrJ89e7ZYX7BgQdvbPn78eLE+k6/zt4o9P5AU4QeSIvxAUoQfSIrwA0kRfiApwg8k1fR5ftubJH1V0pmIuLWaNk/SLyUtlnRM0qMR8UHTjc3g5/kH2dy5cxvWlixZUlx2z549xfqdd97ZVk+taDZewaFDh4r1ZvdPzJs3r2Ft7dq1xWU3btxYrA+ybj7P/zNJKy6b9qSknRFxo6Sd1XsAM0jT8EfELkkTl01eKWlz9XqzpIe73BeAHmv3nP+6iDglSdXP+d1rCUA/9PzeftsjkkZ6vR0AV6bdPf9p2wskqfp5ptGMETEaEUMRMdTmtgD0QLvh3y5pdfV6taTnu9MOgH5pGn7bz0p6Q9I/2R63/R+SvifpAdt/kPRA9R7ADML39mNgPfLII8X61q1bi/V9+/Y1rN17773FZScmLr/ANXPwvf0Aigg/kBThB5Ii/EBShB9IivADSXGpD7WZP7/8SMjevXs7Wn7VqlUNa9u2bSsuO5NxqQ9AEeEHkiL8QFKEH0iK8ANJEX4gKcIPJMUQ3ahNs6/Pvvbaa4v1Dz4of1v8wYMHr7inTNjzA0kRfiApwg8kRfiBpAg/kBThB5Ii/EBSPM+Pnlq2bFnD2quvvlpcdvbs2cX68PBwsb5r165i/dOK5/kBFBF+ICnCDyRF+IGkCD+QFOEHkiL8QFJNn+e3vUnSVyWdiYhbq2kbJK2RdLaabX1EvNSrJjFzPfjggw1rza7j79y5s1h/44032uoJk1rZ8/9M0opppv8oIpZU/wg+MMM0DX9E7JI00YdeAPRRJ+f8j9v+ne1Ntud2rSMAfdFu+DdK+rKkJZJOSfpBoxltj9gesz3W5rYA9EBb4Y+I0xHxcURclPQTSXcV5h2NiKGIGGq3SQDd11b4bS+Y8vZrkvZ1px0A/dLKpb5nJQ1L+rztcUnfkTRse4mkkHRM0jd72COAHuB5fnTkqquuKtZ3797dsHbLLbcUl73vvvuK9ddff71Yz4rn+QEUEX4gKcIPJEX4gaQIP5AU4QeSYohudGTdunXF+tKlSxvWXn755eKyXMrrLfb8QFKEH0iK8ANJEX4gKcIPJEX4gaQIP5AUj/Si6KGHHirWn3vuuWL9ww8/bFhbsWK6L4X+mzfffLNYx/R4pBdAEeEHkiL8QFKEH0iK8ANJEX4gKcIPJMXz/Mldc801xfrTTz9drM+aNatYf+mlxgM4cx2/Xuz5gaQIP5AU4QeSIvxAUoQfSIrwA0kRfiCpps/z214o6RlJX5B0UdJoRPzY9jxJv5S0WNIxSY9GxAdN1sXz/H3W7Dp8s2vtd9xxR7F+5MiRYr30zH6zZdGebj7Pf0HStyPiZkl3S1pr+58lPSlpZ0TcKGln9R7ADNE0/BFxKiLerl6fk3RA0vWSVkraXM22WdLDvWoSQPdd0Tm/7cWSlkr6raTrIuKUNPkLQtL8bjcHoHdavrff9hxJ2yR9KyL+ZLd0WiHbI5JG2msPQK+0tOe3PVuTwd8SEb+qJp+2vaCqL5B0ZrplI2I0IoYiYqgbDQPojqbh9+Qu/qeSDkTED6eUtktaXb1eLen57rcHoFdaudS3XNJvJO3V5KU+SVqvyfP+rZIWSTou6esRMdFkXVzq67ObbrqpWH/vvfc6Wv/KlSuL9RdeeKGj9ePKtXqpr+k5f0TsltRoZfdfSVMABgd3+AFJEX4gKcIPJEX4gaQIP5AU4QeS4qu7PwVuuOGGhrUdO3Z0tO5169YV6y+++GJH60d92PMDSRF+ICnCDyRF+IGkCD+QFOEHkiL8QFJc5/8UGBlp/C1pixYt6mjdr732WrHe7PsgMLjY8wNJEX4gKcIPJEX4gaQIP5AU4QeSIvxAUlznnwGWL19erD/xxBN96gSfJuz5gaQIP5AU4QeSIvxAUoQfSIrwA0kRfiCpptf5bS+U9IykL0i6KGk0In5se4OkNZLOVrOuj4iXetVoZvfcc0+xPmfOnLbXfeTIkWL9/Pnzba8bg62Vm3wuSPp2RLxt+3OS9th+par9KCK+37v2APRK0/BHxClJp6rX52wfkHR9rxsD0FtXdM5ve7GkpZJ+W0163PbvbG+yPbfBMiO2x2yPddQpgK5qOfy250jaJulbEfEnSRslfVnSEk0eGfxguuUiYjQihiJiqAv9AuiSlsJve7Ymg78lIn4lSRFxOiI+joiLkn4i6a7etQmg25qG37Yl/VTSgYj44ZTpC6bM9jVJ+7rfHoBeaeWv/csk/Zukvbbfqaatl/SY7SWSQtIxSd/sSYfoyLvvvlus33///cX6xMREN9vBAGnlr/27JXmaEtf0gRmMO/yApAg/kBThB5Ii/EBShB9IivADSbmfQyzbZjxnoMciYrpL85/Anh9IivADSRF+ICnCDyRF+IGkCD+QFOEHkur3EN1/lPR/U95/vpo2iAa1t0HtS6K3dnWztxtanbGvN/l8YuP22KB+t9+g9jaofUn01q66euOwH0iK8ANJ1R3+0Zq3XzKovQ1qXxK9tauW3mo95wdQn7r3/ABqUkv4ba+wfdD2YdtP1tFDI7aP2d5r+526hxirhkE7Y3vflGnzbL9i+w/Vz2mHSauptw22/7/67N6x/WBNvS20/b+2D9jeb/s/q+m1fnaFvmr53Pp+2G97lqRDkh6QNC7pLUmPRcTv+9pIA7aPSRqKiNqvCdv+F0nnJT0TEbdW056SNBER36t+cc6NiP8akN42SDpf98jN1YAyC6aOLC3pYUn/rho/u0Jfj6qGz62OPf9dkg5HxNGI+LOkX0haWUMfAy8idkm6fNSMlZI2V683a/I/T9816G0gRMSpiHi7en1O0qWRpWv97Ap91aKO8F8v6cSU9+MarCG/Q9IO23tsj9TdzDSuq4ZNvzR8+vya+7lc05Gb++mykaUH5rNrZ8Trbqsj/NN9xdAgXXJYFhG3S/pXSWurw1u0pqWRm/tlmpGlB0K7I153Wx3hH5e0cMr7L0o6WUMf04qIk9XPM5J+rcEbffj0pUFSq59nau7nrwZp5ObpRpbWAHx2gzTidR3hf0vSjba/ZPuzkr4haXsNfXyC7aurP8TI9tWSvqLBG314u6TV1evVkp6vsZe/MygjNzcaWVo1f3aDNuJ1LTf5VJcy/lvSLEmbIuK7fW9iGrb/UZN7e2nyicef19mb7WclDWvyqa/Tkr4j6TlJWyUtknRc0tcjou9/eGvQ27AmD13/OnLzpXPsPve2XNJvJO2VdLGavF6T59e1fXaFvh5TDZ8bd/gBSXGHH5AU4QeSIvxAUoQfSIrwA0kRfiApwg8kRfiBpP4CIJjqosJxHysAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "print(\"Actual class of test image:\", test_lbl[0])\n", "plt.imshow(test_img[0].reshape((28,28)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### k-Nearest Neighbors\n", "\n", "We will now try to classify a random image from the dataset using the kNN classifier." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5\n" ] } ], "source": [ "# takes ~20 Secs. to execute this\n", "kNN = NearestNeighborLearner(MNIST_DataSet, k=3)\n", "print(kNN(test_img[211]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make sure that the output we got is correct, let's plot that image along with its label." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Actual class of test image: 5\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "print(\"Actual class of test image:\", test_lbl[211])\n", "plt.imshow(test_img[211].reshape((28,28)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hurray! We've got it correct. Don't worry if our algorithm predicted a wrong class. With this techinique we have only ~97% accuracy on this dataset." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MNIST FASHION\n", "\n", "Another dataset in the same format is [MNIST Fashion](https://github.com/zalandoresearch/fashion-mnist/blob/master/README.md). This dataset, instead of digits contains types of apparel (t-shirts, trousers and others). As with the Digits dataset, it is split into training and testing images, with labels from 0 to 9 for each of the ten types of apparel present in the dataset. The below table shows what each label means:\n", "\n", "| Label | Description |\n", "| ----- | ----------- |\n", "| 0 | T-shirt/top |\n", "| 1 | Trouser |\n", "| 2 | Pullover |\n", "| 3 | Dress |\n", "| 4 | Coat |\n", "| 5 | Sandal |\n", "| 6 | Shirt |\n", "| 7 | Sneaker |\n", "| 8 | Bag |\n", "| 9 | Ankle boot |" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since both the MNIST datasets follow the same format, the code we wrote for loading and visualizing the Digits dataset will work for Fashion too! The only difference is that we have to let the functions know which dataset we're using, with the `fashion` argument. Let's start by loading the training and testing images:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "train_img, train_lbl, test_img, test_lbl = load_MNIST(fashion=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing Data\n", "\n", "Let's visualize some random images for each class, both for the training and testing sections:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# takes 5-10 seconds to execute this\n", "show_MNIST(train_lbl, train_img, fashion=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# takes 5-10 seconds to execute this\n", "show_MNIST(test_lbl, test_img, fashion=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now see how many times each class appears in the training and testing data:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average of all images in training dataset.\n", "Apparel 0 : 6000 images.\n", "Apparel 1 : 6000 images.\n", "Apparel 2 : 6000 images.\n", "Apparel 3 : 6000 images.\n", "Apparel 4 : 6000 images.\n", "Apparel 5 : 6000 images.\n", "Apparel 6 : 6000 images.\n", "Apparel 7 : 6000 images.\n", "Apparel 8 : 6000 images.\n", "Apparel 9 : 6000 images.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Average of all images in testing dataset.\n", "Apparel 0 : 1000 images.\n", "Apparel 1 : 1000 images.\n", "Apparel 2 : 1000 images.\n", "Apparel 3 : 1000 images.\n", "Apparel 4 : 1000 images.\n", "Apparel 5 : 1000 images.\n", "Apparel 6 : 1000 images.\n", "Apparel 7 : 1000 images.\n", "Apparel 8 : 1000 images.\n", "Apparel 9 : 1000 images.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"Average of all images in training dataset.\")\n", "show_ave_MNIST(train_lbl, train_img, fashion=True)\n", "\n", "print(\"Average of all images in testing dataset.\")\n", "show_ave_MNIST(test_lbl, test_img, fashion=True)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Unlike Digits, in Fashion all items appear the same number of times." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Testing\n", "\n", "We will now begin testing our algorithms on Fashion.\n", "\n", "First, we need to convert the dataset into the `learning`-compatible `Dataset` class:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "temp_train_lbl = train_lbl.reshape((60000,1))\n", "training_examples = np.hstack((train_img, temp_train_lbl))" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# takes ~10 seconds to execute this\n", "MNIST_DataSet = DataSet(examples=training_examples, distance=manhattan_distance)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "784" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MNIST_DataSet.target" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MNIST_DataSet.examples[1][784]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plurality Learner\n", "\n", "The Plurality Learner always returns the class with the most training samples. In this case, `9`." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9\n" ] } ], "source": [ "pL = PluralityLearner(MNIST_DataSet)\n", "print(pL(177))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Actual class of test image: 0\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "print(\"Actual class of test image:\", test_lbl[177])\n", "plt.imshow(test_img[177].reshape((28,28)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Naive-Bayes\n", "\n", "The Naive-Bayes classifier is an improvement over the Plurality Learner. It is much more accurate, but a lot slower." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0\n" ] } ], "source": [ "# takes ~45 Secs. to execute this\n", "\n", "nBD = NaiveBayesLearner(MNIST_DataSet, continuous = False)\n", "print(nBD(test_img[24]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check if we got the right output." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Actual class of test image: 1\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "print(\"Actual class of test image:\", test_lbl[24])\n", "plt.imshow(test_img[24].reshape((28,28)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K-Nearest Neighbors\n", "\n", "With the dataset in hand, we will first test how the kNN algorithm performs:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n" ] } ], "source": [ "# takes ~20 Secs. to execute this\n", "kNN = NearestNeighborLearner(MNIST_DataSet, k=3)\n", "print(kNN(test_img[211]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output is 1, which means the item at index 211 is a trouser. Let's see if the prediction is correct:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Actual class of test image: 1\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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flLTZzD5nZsskfVPSwQr6+BQz68y+iJGZdUr6ilpv9eGDknZnt3dLeqXCXj6hVVZurrWytCp+7VptxetKTvLJhjL+TVKbpP3u/i9Nb2IeZvZ5zR7tpdmZjX9VZW9m9pKkRzR71degpB9J+k9Jv5X0t5L+LOkb7t70L95q9PaIZt+6/nXl5pufsZvc299J+l9JxyTNZJv3avbzdWWvXaKvXargdeMMPyAozvADgiL8QFCEHwiK8ANBEX4gKMIPBEX4gaAIPxDU/wOD9TqwqkBrGQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "print(\"Actual class of test image:\", test_lbl[211])\n", "plt.imshow(test_img[211].reshape((28,28)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed, the item was a trouser! The algorithm classified the item correctly." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }