{ "cells": [ { "cell_type": "markdown", "id": "d627d6f9-9860-4dfe-9753-978715aea92a", "metadata": {}, "source": [ "# AI 534 Machine Learning HW1a: $k$-NN for Image Classification (weeks 0-1)\n", "### Due Monday of Week 2 (11:59pm) on Canvas\n", "\n", "Instructions:\n", "\n", "1. The point of this HW is to get you used to numpy, sklearn, and basic broadcasting.\n", "2. You can do this HW either on Google Colab or your own machine (if you install [Anaconda](https://www.anaconda.com/download) -- choose Anaconda NOT miniconda, so that `numpy`, `sklearn` and other packages are automatically installed).\n", "3. You need to submit (a) your notebook (`.ipynb`) AND (b) a PDF version of your notebook (`.pdf`) on Canvas. From your notebook you can save it as PDF (File -> Save and Export as -> PDF).\n", "4. Please read official [numpy tutorial](https://numpy.org/devdocs/user/quickstart.html) and [broadcasting tutorial](https://numpy.org/devdocs/user/basics.broadcasting.html#basics-broadcasting)." ] }, { "cell_type": "markdown", "id": "0e18417b-18e2-4fb9-8418-4aabeacfba3f", "metadata": {}, "source": [ "## Part 0: Data Preparation and \"Average\" Digits" ] }, { "cell_type": "code", "execution_count": 1, "id": "db0b6909-5606-4233-a5ce-dd4b138e8a27", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data shape (X): (70000, 784)\n", "Labels shape (y): (70000,)\n" ] } ], "source": [ "import numpy as np\n", "from sklearn.datasets import fetch_openml\n", "import matplotlib.pyplot as plt # for plotting\n", "\n", "# Download MNIST dataset from OpenML as NumPy arrays\n", "X, y = fetch_openml('mnist_784', version=1, return_X_y=True, as_frame=False, parser='auto')\n", "\n", "# Ensure types are correct (labels as integers)\n", "y = y.astype(np.int64) # convert labels from str to int\n", "\n", "print(\"Data shape (X):\", X.shape) # (70000, 784) each image is a 784-dimensional vector (28x28 grayscale pixels)\n", "print(\"Labels shape (y):\", y.shape) # (70000,) each label is an integer 0...9" ] }, { "cell_type": "code", "execution_count": 2, "id": "3ee05ba9-03dc-45b9-a5b7-9067b5d0486a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(X[0].reshape(28, 28)) # should show a \"5\"" ] }, { "cell_type": "code", "execution_count": 3, "id": "772dffb5-4929-4df6-af9e-a950ebe20cb0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.int64(5)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y[0] # 5" ] }, { "attachments": { "dc8a2750-f168-4b01-a2e5-b9ccfef8ab58.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "fe3c8d0b-9d8f-4fb4-b04d-84fbb97957ec", "metadata": {}, "source": [ "**Question: how to show the \"average\" image from all images of label 0? Hint: use boolean masking `y == 0`.**\n", "\n", "Please write some simple code to show the \"average\" image for each digit from 0 to 9.\n", "\n", "Note that besides the top-level for-loop (`i=0..9`), no more for-loop is allowed. The point of this exercise is to get you used to numpy's indexing and masking. You can use `np.mean(axis=...)`.\n", "\n", "FYI The following image is the average 0 in MNIST (i.e., mean over all images of digits 0).\n", "\n", "![image.png](attachment:dc8a2750-f168-4b01-a2e5-b9ccfef8ab58.png)" ] }, { "cell_type": "code", "execution_count": 6, "id": "fc622896-bfab-4b14-84ec-5ec6449de3b3", "metadata": {}, "outputs": [], "source": [ "for i in range(10): # 10 classes: 0...9\n", " # your code for computing and plotting average image i\n", " # no more for-loop is allowed!\n", " ...\n", " plt.show() # you have to show() each image, otherwise only the last one shows" ] }, { "cell_type": "markdown", "id": "dc5264e4-00e5-4d39-9d6d-3ebdbe58a02c", "metadata": {}, "source": [ "## Part 1: Use sklearn's k-NN\n", "\n", "Use sklearn's $k$-NN classifier (see below) to write a function that performs $k$-NN classification on `X_dev` and report error rate (with `y_dev`), using `X_train` and `y_train` as the training data." ] }, { "cell_type": "code", "execution_count": 7, "id": "64ef959d-f3e8-46a5-8f1e-10863c26bfc9", "metadata": {}, "outputs": [], "source": [ "from sklearn.neighbors import KNeighborsClassifier" ] }, { "cell_type": "code", "execution_count": null, "id": "a83316c4-a86c-4dc8-b7d0-f3df8078cbe6", "metadata": {}, "outputs": [], "source": [ "def sklearn_kNN(X_train, y_train, X_dev, y_dev, k=1):\n", " # return error rate as a float between 0 and 1\n", " # your code here" ] }, { "cell_type": "code", "execution_count": null, "id": "21bf1f4e-f2e1-4ce0-a43f-cb4550320b00", "metadata": {}, "outputs": [], "source": [ "# test your code on 1-NN using 1,000 training examples and 100 test examples\n", "print(sklearn_kNN(X[:1000], y[:1000], X[5000:5100], y[5000:5100], 1)) # should print 0.13" ] }, { "cell_type": "code", "execution_count": 13, "id": "e59cf50d-1961-4c0a-bc3a-0d567f042e84", "metadata": {}, "outputs": [], "source": [ "# you should do more testing here, such as varying k and varying training/dev sizes (e.g., 5,000 or 1,0000 training examples)\n", "# make sure training and dev do not overlap! (otherwise it's cheating!)" ] }, { "cell_type": "markdown", "id": "263fb91f-b8e8-472e-84e6-88a45d08cb2f", "metadata": {}, "source": [ "# Part 2: Implement your own 1-NN, the loop + simple broadcasting way\n", "\n", "Now you need to implement your own 1-NN using numpy. \n", "\n", "The high-level idea is for each test (or dev) example `q` (a 784-dimensional vector), \n", "\n", "1. subtract it from all training examples; you should do this by broadcasting (matrix - vector) instead of writing another for-loop. Now you have a matrix of shape `(1000, 784)` (assuming 1000 training examples) that represent the difference vectors `x-q` for each training example `x`.\n", "2. compute the distances (i.e., $\\ell_2$-norms) so that you can `1000` distances.\n", "3. get the training index for the smallest distance (use `np.argmin()`).\n", "4. get the training label for that index.\n", "\n", "You're only allowed to use one for-loop in this process (i.e., for each test/dev example).\n", "\n", "To start with, first implement 1-NN using \n", "\n", "Then extend it to $k$-NN using `np.argpartition()` or `np.argsort()`." ] }, { "cell_type": "code", "execution_count": null, "id": "7ab65acf-d21a-4a0e-bd1a-e7221b896189", "metadata": {}, "outputs": [], "source": [ "# your 1-NN\n", "def my_1NN(X_train, y_train, X_dev, y_dev):\n", " # return error rate" ] }, { "cell_type": "code", "execution_count": null, "id": "596f3be0-9722-4f3c-970f-2e02ed88cd31", "metadata": {}, "outputs": [], "source": [ "# verify your 1-NN\n", "print(my_1NN(X[:1000], y[:1000], X[5000:5100], y[5000:5100])) # should print 0.13" ] }, { "cell_type": "markdown", "id": "70896517-616b-4c5a-b184-8641531f9223", "metadata": {}, "source": [ "# Part 3: Implement your own k-NN\n", "\n", "Now extend your work to $k$-NN using `np.argpartition()` or `np.argsort()`.\n", "\n", "Change the last two steps to:\n", "\n", "3. get the training indices for the $k$ smallest distance (use `np.argsort()` or `np.argpartition()`).\n", "4. get the training labels for those $k$ indices and take a majority vote." ] }, { "cell_type": "code", "execution_count": null, "id": "5ba0c47b-33e9-4a49-bf45-0b413471c626", "metadata": {}, "outputs": [], "source": [ "# your k-NN\n", "def my_kNN(X_train, y_train, X_dev, y_dev, k=1):\n", " # return error rate" ] }, { "cell_type": "code", "execution_count": 11, "id": "52f45d84-b68a-4db2-be6b-79804a97cc05", "metadata": {}, "outputs": [], "source": [ "# verify your k-NN with your sklearn_kNN by testing at least 3 cases\n" ] }, { "cell_type": "markdown", "id": "b17df57b-96cb-4ff4-9d03-6011244571da", "metadata": {}, "source": [ "## Part 4: (Optional, Extra Credit) Advanced Broadcasting\n", "\n", "It turns out you can even remove the only for-loop by advanced broadcasting, so that you can all pairwise difference vectors or even directly pairwise distances between training examples and test/dev examples. Compare your result with your work above and make sure they get the same error rates. Is your new method faster?\n", "\n", "Hint: there are two possible methods here:\n", "\n", "1. one very slow with large data (using 3D tensors) and\n", "2. one extremely fast (using matrix multiplication)." ] } ], "metadata": { "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": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }