From 71c58f43462b0ddfb9c8657f8f77d109292c1fbb Mon Sep 17 00:00:00 2001 From: narittt Date: Tue, 20 Jun 2023 23:34:57 -0400 Subject: [PATCH] upload to github --- .DS_Store | Bin 0 -> 10244 bytes README.md | 20 + data/.DS_Store | Bin 0 -> 6148 bytes data/email_test_inds.npy | Bin 0 -> 52328 bytes data/email_test_x.npy | Bin 0 -> 10440128 bytes data/email_test_y.npy | Bin 0 -> 52328 bytes data/email_train_inds.npy | Bin 0 -> 208928 bytes data/email_train_x.npy | Bin 0 -> 41760128 bytes data/email_train_y.npy | Bin 0 -> 208928 bytes data/spiral_train_1.csv | 4001 +++++++++++++++++++++++++++++++++++++ data/spiral_train_2.csv | 4001 +++++++++++++++++++++++++++++++++++++ data/spiral_val_1.csv | 1201 +++++++++++ data/spiral_val_2.csv | 1201 +++++++++++ data/winequality-red.csv | 1601 +++++++++++++++ email_preprocessor.py | 195 ++ knn.ipynb | 788 ++++++++ knn.py | 137 ++ naive_bayes.ipynb | 1424 +++++++++++++ naive_bayes.py | 175 ++ 19 files changed, 14744 insertions(+) create mode 100644 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"### 1b) Implement KNN\n", + "\n", + "Implement the following methods in `knn.py`. Test relevant methods using the test code below.\n", + "\n", + "- Constructor\n", + "- `train(data, y)`: Train the KNN classifier on the data `data`, where training samples have corresponding class labels in `y`.\n", + "- `predict(data, k)`: Use the trained KNN classifier to predict the class label of each test sample in `data`. Determine class by voting: find the closest `k` training exemplars (training samples) and the class is the majority vote of the classes of these training exemplars.\n", + "- `accuracy(y, y_pred)`: Compute percent correct given true data labels `y` and algorithm predicted labels `y_pred`. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "from knn import KNN" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Test: Accuracy" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Test accuracy is 0.06 and should be 0.06.\n" + ] + } + ], + "source": [ + "np.random.seed(0)\n", + "test_y = np.random.randint(low=0, high=11, size=(50,))\n", + "test_y_pred = np.random.randint(low=0, high=11, size=(50,))\n", + "\n", + "classifier = KNN(num_classes=0)\n", + "acc = classifier.accuracy(test_y, test_y_pred)\n", + "print(f'Test accuracy is {acc} and should be 0.06.')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Test: 1-KNN" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Your accuracy with K=1 is 1.0 and should be 1.0\n" + ] + } + ], + "source": [ + "n_classes = 4\n", + "classifier = KNN(num_classes=n_classes)\n", + "classifier.train(spiral_1_train, spiral_1_train_y)\n", + "\n", + "k = 1\n", + "spiral_1_y_pred = classifier.predict(spiral_1_train, k)\n", + "acc = classifier.accuracy(y=spiral_1_train_y, y_pred=spiral_1_y_pred)\n", + "print(f'Your accuracy with K=1 is {acc} and should be 1.0')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 1:** Explain why in the above test, the accuracy must be 100%." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Answer 1:** \n", + "\n", + "The data we used for testing, spiral_1_train, is also the same one that we are doing predictions on. Since KNN relies on memorization, this means it has already seen all the data points and their corresponding classes and so it can recall the classes with perfect accuracy." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Test 2-KNN\n", + "\n", + "*Note: The below test code assumes that you resolve voting ties with the class that has a lower index. There is a numpy function that you may feel inclined to use (or not!) that handles this automatically.*" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Your accuracy with K=2 is 0.88 and should be 0.88\n", + "The mismatches between your predicted class of validation samples with indices 750-900 and the expected values are\n", + "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0]\n", + "Seeing all 0s means everything seems to be working great!\n" + ] + } + ], + "source": [ + "n_classes = 4\n", + "classifier = KNN(num_classes=n_classes)\n", + "classifier.train(spiral_1_train, spiral_1_train_y)\n", + "\n", + "k = 2\n", + "spiral_1_y_pred = classifier.predict(spiral_1_val, k)\n", + "acc = classifier.accuracy(y=spiral_1_val_y, y_pred=spiral_1_y_pred)\n", + "print(f'Your accuracy with K=2 is {acc:.2f} and should be 0.88')\n", + "\n", + "true_test_y = np.array([2., 2., 2., 2., 2., 3., 2., 2., 3., 2., 2., 1., 2., 2., 2., 2., 2.,\n", + " 2., 1., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 3., 2.,\n", + " 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2.,\n", + " 2., 2., 2., 2., 2., 2., 2., 2., 2., 1., 2., 2., 2., 2., 3., 3., 2.,\n", + " 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2., 3., 2., 3., 2., 2.,\n", + " 2., 2., 2., 2., 3., 2., 2., 2., 2., 2., 1., 2., 2., 2., 2., 2., 2.,\n", + " 2., 2., 2., 3., 3., 2., 3., 2., 2., 2., 2., 2., 2., 2., 2., 2., 2.,\n", + " 2., 2., 2., 2., 2., 1., 3., 2., 2., 2., 3., 3., 2., 2., 2., 2., 2.,\n", + " 2., 2., 2., 2., 3., 2., 2., 2., 2., 2., 2., 2., 2., 2.])\n", + "\n", + "print(f'The mismatches between your predicted class of validation samples with indices 750-900 and the expected values are\\n{np.where(true_test_y != spiral_1_y_pred[750:900], 1, 0)}')\n", + "print('Seeing all 0s means everything seems to be working great!')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1c) Find the best `k`\n", + "\n", + "- Below, \"script\" your `predict` method on both spiral datasets 1 and 2. Compute the accuracy on the respective test sets with many different values of `k`.\n", + "- Create two well-labeled plots, one for each spiral dataset, showing the accuracy for many different `k` values." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best 1\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "

" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "accuracies = []\n", + "ks = np.arange(1,20)\n", + "\n", + "for k in range(1,20):\n", + " classifier.train(spiral_1_train, spiral_1_train_y)\n", + " spiral_1_y_pred = classifier.predict(spiral_1_val, k)\n", + " acc = classifier.accuracy(y=spiral_1_val_y, y_pred=spiral_1_y_pred)\n", + " accuracies.append(acc)\n", + "\n", + "print(\"Best\", np.argmax(accuracies) + 1)\n", + "\n", + "plt.plot(ks, accuracies)\n", + "plt.xlabel(\"k\")\n", + "plt.ylabel(\"Accuracy\")\n", + "plt.title(\"Spiral 1: k vs accuracy\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best 11\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "accuracies = []\n", + "ks = np.arange(1,20)\n", + "\n", + "for k in range(1,20):\n", + " classifier.train(spiral_2_train, spiral_2_train_y)\n", + " spiral_2_y_pred = classifier.predict(spiral_2_val, k)\n", + " acc = classifier.accuracy(y=spiral_2_val_y, y_pred=spiral_2_y_pred)\n", + " accuracies.append(acc)\n", + "\n", + "print(\"Best\", np.argmax(accuracies) + 1)\n", + "plt.plot(ks, accuracies)\n", + "plt.xlabel(\"k\")\n", + "plt.ylabel(\"Accuracy\")\n", + "plt.title(\"Spiral 2 k: vs accuracy\")\n", + "plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 2:** What is the `k` that results in the highest accuracy on each spiral dataset?\n", + "\n", + "**Question 3:** Give at least one \"good\" reason why the accuracies are so different across the datasets. (*Hint: look at the data*)\n", + "\n", + "**Question 4:** Give at least one \"good\" reason why the best `k` values are so different across the datasets.\n", + "\n", + "**Question 5:** Is it a good idea to always set `k` to one of these values when working with another dataset?" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Answer 2:**\n", + "\n", + "For spiral 1, the best accuracy was when k = 1. For spiral 2, the best accuracy was when k = 11. \n", + "\n", + "**Answer 3:** \n", + "\n", + "The accuracies are so different across the dataset because of how the data is aligned. For spiral 1, the datapoints in the validation dataset look almost identical to the one in the training except that it is more sparse. So, we get a lot higher accuracy because the validation data is closer to the training and thus easier to predict on. For spiral 2, we see that although the test data looks like spiral 1, the validation data looks a lot different and has more scattering (ie. it doesn't match up with the training as well) as well as having more of the classes mixed together making it harder to preidct and lowering accuracy. \n", + "\n", + "**Answer 4:** \n", + "\n", + "Similar to answer 3, the best k values are so different because of the differences in the data. In spiral 1, the val data is not changed much from the train data. In spiral 2, the val data is a lot different. This means that with a k value of 1 sprial 1 does very well because picking only the nearest neighbor probably works enough to figure out what class it is. On the other hand, spiral 2 requires a best k of 11 because it is offset a lot from training data so requires more \"votes\" fro the surrounding classes to get a more accurate preidction. \n", + "\n", + "**Answer 5:** \n", + "\n", + "No, the optimal number of k will vary from dataset to dataset. It would be better to run the same script and look at the plot that it produces to find a personalized best k. " + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1d) Visualize class boundaries\n", + "\n", + "- Implement `plot_predictions` in `knn.py` to visualize how different regions of the (2D) dataspace would be classified. In this visualization, use four discrete colors to represent each of the classes. For example, if KNN would classify (x, y) = (10, 10) to spiral 2, you would color that region blue (for example). You will repeat this for lots of different regularly spaced x,y points to get a better picture of the regions that would be predicted to belong to different classes.\n", + "- For spiral dataset 1 and 2, plot the class boundaries for the k best value determined above." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "classifier = KNN(4)\n", + "classifier.train(spiral_1_train, spiral_1_train_y)\n", + "classifier.plot_predictions(2, 200)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "classifier = KNN(4)\n", + "classifier.train(spiral_2_train, spiral_2_train_y)\n", + "classifier.plot_predictions(2, 200)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 6:** Why could visualizing the class boundaries be useful?" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Answer 6:** \n", + "\n", + "Visualizing class boundaries could be useful because then you can kind of see the shape of what your KNN will return. For example, if you only gave it validation data to predict then you would only see the points where the validation data was. But with this visualization, you see the assignemnts for any possible point in the data. It gives you a better idea of what to expect from your classifier. " + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 2: Spam email preprocessing pipeline\n", + "\n", + "Before you can build a spam email filter, you need to transform the email data into a suitable format so that KNN or other supervised learning algorithms can process them (this is called **preprocessing**).\n", + "\n", + "In this project, you will work with the **Enron email dataset**, a large datset consisting of ~34,000 emails. Enron is an energy company that famously went bankrupt in the early 2000s after committing massive accounting fraud (more info: https://en.wikipedia.org/wiki/Enron). The US government seized company emails during their investigation and they were released to the public much later and nowadays is a commonly used datset in machine learning. \n", + "\n", + "Your eventual goal will be to train a supervised learning algorithm on some of the emails and predict whether the remaining ones are spam or not.\n", + "\n", + "But first...onto the preprocessing!" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Overall preprocessing strategy\n", + "\n", + "We need to turn each email's text into something an algorithm can process (**features**). We will use a simple type of feature: **bag of words counts**. That is, we will reduce an email into a vector of how many times words appeared in it.\n", + "\n", + "*Problem:* There are too many words across all the emails. Processing the counts in each email would take too long. For example, there are more than 40,000 words across all the emails. If we were trying to predict whether 1,000 emails are spam or not, we would need to build a `1000 x 40000` matrix (count each of the 40,000 words in each of the 1,000 emails), which would take a very long time to process by the supervised learning algorithm. \n", + "\n", + "A work-around that works quite well is to restrict ourselves to the most frequent $W$ words in the email dataset. You can experiment with how many words to include (e.g. as an extension), but for concreteness we will set this $W=200$ in the core project. In the above example, we can then process `1000 x 200` matrix much more quickly." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2a) Determine email word frequency\n", + "\n", + "The large size of the enron email datset makes the debugging process cumbersome. In situations like this, it is common to work with a **development dataset** — a mini version of the full dataset that is much faster to work with. The enron dev datset has 2 ham emails and 3 spam emails. \n", + "\n", + "- Download and extract the **Enron dev** emails. You should see a base `enron` folder, with `spam` and `ham` subfolders (these are the 2 classes), and documents in each with the raw email text. There should be 2 files in the ham folder and 3 files in the spam folder.\n", + "- In `email_preprocessor.py` implement `count_words(email_path)` to build up a python dictionary of all the words in the dataset (keys) and their associated counts (values).\n", + "- Write `find_top_words(word_freq)` to parse the dictionary and determine the top $W$ words." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "import email_preprocessor as epp" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Test `count_words` and `find_top_words`" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "word_freq, num_emails = epp.count_words(email_path='data/enron_dev/')" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "You found 5 emails in the datset. You should have found 5.\n" + ] + } + ], + "source": [ + "print(f'You found {num_emails} emails in the datset. You should have found 5.')" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "You found 19/19 words.\n", + "Your top 2 words are\n", + "['subject', 'you']\n", + "and they should be\n", + "['subject', 'you']\n", + "The counts of all the words are\n", + "[5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "and they should be\n", + "[5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", + "The 19 words should are\n", + "['subject', 'you', 'get', 'that', 'new', 'car', 'now', 'can', 'be', 'smart', 'love', 'ecards', 'christmas', 'tree', 'farm', 'pictures', 're', 'rankings', 'thank']\n", + " and they should be \n", + "['subject', 'you', 'get', 'that', 'new', 'car', 'now', 'can', 'be', 'smart', 'love', 'ecards', 'christmas', 'tree', 'farm', 'pictures', 're', 'rankings', 'thank']\n", + "with the last 17 words in any order (because their counts are tied)\n" + ] + } + ], + "source": [ + "top_words, top_counts = epp.find_top_words(word_freq)\n", + "print(f\"You found {len(top_words)}/19 words.\")\n", + "print(f\"Your top 2 words are\\n{top_words[:2]}\\nand they should be\\n['subject', 'you']\")\n", + "print(f\"The counts of all the words are\\n{top_counts}\\nand they should be\\n[5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\")\n", + "print(f\"The 19 words should are\\n{top_words}\\n and they should be \\n['subject', 'you', 'get', 'that', 'new', 'car', 'now', 'can', 'be', 'smart', 'love', 'ecards', 'christmas', 'tree', 'farm', 'pictures', 're', 'rankings', 'thank']\\nwith the last 17 words in any order (because their counts are tied)\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2b) Make feature vectors based only on the top word counts\n", + "\n", + "- Implement `make_feature_vectors`: Go back through the email folder structure and parse each email again. Now only count the frequency of words that are in the top $W$ word list. Keep track of whether each of these feature vectors are associated with a spam or not spam email." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "hard_code_words = ['subject', 'you', 'get', 'that', 'new', 'car', 'now', 'can', 'be', 'smart', 'love', 'ecards', 'christmas', 'tree', 'farm', 'pictures', 're', 'rankings', 'thank']\n", + "features, y = epp.make_feature_vectors(hard_code_words, num_emails, email_path='data/enron_dev/')" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Your matrix of features has shape:\n", + "(5, 19)\n", + "and it should be\n", + "(5, 19).\n", + "Your class label vector has shape:\n", + "(5,)\n", + "and it should be\n", + "(5,).\n", + "Make sure your features have 0's and 1's in every row\n", + "[[1. 0. 1. 1. 1. 1. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n", + " [1. 1. 0. 0. 0. 0. 0. 1. 1. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n", + " [1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 0. 0. 0. 0. 0. 0. 0.]\n", + " [1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. 0. 0. 0.]\n", + " [1. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1.]]\n", + "\n", + "Below, one number should be 3, the other should be 2.\n", + "Number of emails of class 0: 3\n", + "Number of emails of class 1: 2\n", + "\n", + "Your vector for 2958.2004-11-03.GP.spam.txt matches expected counts?\n", + "True\n", + "\n" + ] + } + ], + "source": [ + "firstSpamWordCounts = np.array([1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])\n", + "\n", + "\n", + "print(f'Your matrix of features has shape:\\n{features.shape}\\nand it should be\\n(5, 19).')\n", + "print(f'Your class label vector has shape:\\n{y.shape}\\nand it should be\\n(5,).')\n", + "print(f\"Make sure your features have 0's and 1's in every row\")\n", + "print(features)\n", + "print('\\nBelow, one number should be 3, the other should be 2.')\n", + "print(f'Number of emails of class 0: {np.sum(y == 0)}\\nNumber of emails of class 1: {np.sum(y == 1)}')\n", + "\n", + "inds = np.arange(len(features))\n", + "test_ind = inds[np.all(firstSpamWordCounts == features, axis=1)]\n", + "print(f'\\nYour vector for 2958.2004-11-03.GP.spam.txt matches expected counts?\\n{len(test_ind) == 1}\\n')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2c) Make train and test splits of the dataset\n", + "\n", + "Your matrix of features is for the entire dataset. We can't train the classifier on all these because then we won't have any emails left over to see how well your model's ability to discriminate spam/ham email generalizes to emails not seen during training!\n", + "\n", + "Implement `make_train_test_sets` to divide the email features into a 80/20 train/test split (80% of data used to train the supervised learning model, 20% we withhold and use for testing / prediction)." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(0)\n", + "x_train, y_train, inds_train, x_test, y_test, inds_test = epp.make_train_test_sets(features, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Shapes for train/test splits:\n", + "Train (4, 19), classes (4,)\n", + "Test (1, 19), classes (1,)\n", + "\n", + "They should be:\n", + "Train (4, 19), classes (4,)\n", + "Test (1, 19), classes (1,)\n" + ] + } + ], + "source": [ + "print('Shapes for train/test splits:')\n", + "print(f'Train {x_train.shape}, classes {y_train.shape}')\n", + "print(f'Test {x_test.shape}, classes {y_test.shape}')\n", + "print('\\nThey should be:\\nTrain (4, 19), classes (4,)\\nTest (1, 19), classes (1,)')" + ] + } + ], + "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": "3.8.15" + }, + "vscode": { + "interpreter": { + "hash": "aee8b7b246df8f9039afb4144a1f6fd8d2ca17a180786b69acc140d282b71a49" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/knn.py b/knn.py new file mode 100644 index 0000000..dd0c5d3 --- /dev/null +++ b/knn.py @@ -0,0 +1,137 @@ +'''knn.py +K-Nearest Neighbors algorithm for classification +''' +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.colors import ListedColormap +from palettable import cartocolors + + +class KNN: + '''K-Nearest Neighbors supervised learning algorithm''' + def __init__(self, num_classes): + '''KNN constructor + ''' + self.exemplars = None + self.classes = None + + self.num_classes = num_classes + + def train(self, data, y): + '''Train the KNN classifier on the data `data`, where training samples have corresponding + class labels in `y`. + + Parameters: + ----------- + data: ndarray. shape=(num_train_samps, num_features). Data to learn / train on. + y: ndarray. shape=(num_train_samps,). Corresponding class of each data sample. + ''' + self.exemplars = data + self.classes = y + + def predict(self, data, k): + '''Use the trained KNN classifier to predict the class label of each test sample in `data`. + + Parameters: + ----------- + data: ndarray. shape=(num_test_samps, num_features). Data to predict the class of + k: int. Determines the neighborhood size of training points around each test sample used to + make class predictions. + + Returns: + ----------- + ndarray of nonnegative ints. shape=(num_test_samps,). Predicted class of each test data + sample. + + ''' + + predicted_classes = [] + + for sample in range(data.shape[0]): + dist = np.sqrt(np.sum(np.square(self.exemplars - data[sample]), axis = 1)) + # print(dist.shape) + closest = np.argpartition(dist, k)[:k] + classes, counts = np.unique(self.classes[closest], return_counts = True) + predicted_classes.append(classes[np.argmax(counts)]) + + return np.array(predicted_classes) + + def accuracy(self, y, y_pred): + '''Computes accuracy based on percent correct: Proportion of predicted class labels `y_pred` + that match the true values `y`. + + Parameters: + ----------- + y: ndarray. shape=(num_data_sams. Ground-truth + y_pred: ndarray. shape=(num_data_sams,) + Predicted class labels by the model for each data sample + + Returns: + ----------- + float. Proportion correct classification. + + ''' + N = y.shape[0] + + correct = np.sum(np.where(y == y_pred, 1, 0)) + + return correct/N + + def plot_predictions(self, k, n_sample_pts): + '''Paints the data space in colors corresponding to which class the classifier would + hypothetically assign to data samples appearing in each region. + + Parameters: + ----------- + k: int. Determines the neighborhood size of training points around each test sample used to + make class predictions. + n_sample_pts: int. + ''' + + color = ListedColormap(cartocolors.qualitative.Safe_4.mpl_colors) + + vector = np.linspace(-40, 40, n_sample_pts) + x, y = np.meshgrid(vector, vector) + + data = np.column_stack((x.flatten(), y.flatten())) + data = np.reshape(data, (n_sample_pts * n_sample_pts, self.exemplars.shape[1])) + + y_pred = self.predict(data, k) + + y_pred = np.reshape(y_pred, (n_sample_pts, n_sample_pts)) + + colors = plt.pcolormesh(x, y, y_pred, cmap=color) + + plt.colorbar(colors) + plt.title("Plot of Predictions") + plt.xlabel("X") + plt.ylabel("Y") + + + def confusion_matrix(self, y, y_pred): + '''Create a confusion matrix based on the ground truth class labels (`y`) and those predicted + by the classifier (`y_pred`). + + Parameters: + ----------- + y: ndarray. shape=(num_data_samps,) + Ground-truth, known class labels for each data sample + y_pred: ndarray. shape=(num_data_samps,) + Predicted class labels by the model for each data sample + + Returns: + ----------- + ndarray. shape=(num_classes, num_classes). + Confusion matrix + ''' + + matrix = np.zeros((self.num_classes, self.num_classes)) + + for i in range(self.num_classes): + for j in range(self.num_classes): + act_match = np.where(y == i, 1, 0) + pred_match = np.where(y_pred == j, 1, 0) + matches = np.logical_and(act_match, pred_match) + matrix[i, j] = np.sum(np.where(matches == True, 1, 0)) + + return matrix diff --git a/naive_bayes.ipynb b/naive_bayes.ipynb new file mode 100644 index 0000000..680d8cc --- /dev/null +++ b/naive_bayes.ipynb @@ -0,0 +1,1424 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Narit Trikasemsak**\n", + "\n", + "Spring 2023\n", + "\n", + "CS 251/2: Data Analysis and Visualization\n", + "\n", + "Project 6: Supervised learning" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "import random\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "\n", + "plt.style.use(['seaborn-v0_8-colorblind', 'seaborn-v0_8-darkgrid'])\n", + "plt.rcParams.update({'font.size': 20})\n", + "\n", + "np.set_printoptions(suppress=True, precision=5)\n", + "\n", + "# Automatically reload external modules\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 3: Preprocess full spam email dataset \n", + "\n", + "Before you build a Naive Bayes spam email classifier, run the full spam email dataset through your preprocessing code.\n", + "\n", + "Download and extract the full **Enron** emails (*zip file should be ~29MB large*). You should see a base `enron` folder, with `spam` and `ham` subfolders when you extract the zip file (these are the 2 classes).\n", + "\n", + "Run the test code below to check everything over." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 3a) Preprocess dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import email_preprocessor as epp" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Test `count_words` and `find_top_words`" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "word_freq, num_emails = epp.count_words()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "You found 32625 emails in the datset. You should have found 32625.\n" + ] + } + ], + "source": [ + "print(f'You found {num_emails} emails in the datset. You should have found 32625.')" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Your top 5 words are\n", + "['the', 'to', 'and', 'of', 'a']\n", + "and they should be\n", + "['the', 'to', 'and', 'of', 'a']\n", + "The associated counts are\n", + "[277459, 203659, 148873, 139578, 111796]\n", + "and they should be\n", + "[277459, 203659, 148873, 139578, 111796]\n" + ] + } + ], + "source": [ + "top_words, top_counts = epp.find_top_words(word_freq)\n", + "print(f\"Your top 5 words are\\n{top_words[:5]}\\nand they should be\\n['the', 'to', 'and', 'of', 'a']\")\n", + "print(f\"The associated counts are\\n{top_counts[:5]}\\nand they should be\\n[277459, 203659, 148873, 139578, 111796]\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 3b) Make train and test splits of the dataset\n", + "\n", + "Here we divide the email features into a 80/20 train/test split (80% of data used to train the supervised learning model, 20% we withhold and use for testing / prediction)." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "features, y = epp.make_feature_vectors(top_words, num_emails)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(0)\n", + "x_train, y_train, inds_train, x_test, y_test, inds_test = epp.make_train_test_sets(features, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Shapes for train/test splits:\n", + "Train (26100, 200), classes (26100,)\n", + "Test (6525, 200), classes (6525,)\n", + "\n", + "They should be:\n", + "Train (26100, 200), classes (26100,)\n", + "Test (6525, 200), classes (6525,)\n" + ] + } + ], + "source": [ + "print('Shapes for train/test splits:')\n", + "print(f'Train {x_train.shape}, classes {y_train.shape}')\n", + "print(f'Test {x_test.shape}, classes {y_test.shape}')\n", + "print('\\nThey should be:\\nTrain (26100, 200), classes (26100,)\\nTest (6525, 200), classes (6525,)')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 3c) Save data in binary format\n", + "\n", + "It adds a lot of overhead to have to run through your raw email -> train/test feature split every time you wanted to work on your project! In this step, you will export the data in memory to disk in a binary format. That way, you can quickly load all the data back into memory (directly in ndarray format) whenever you want to work with it again. No need to parse from text files!\n", + "\n", + "Running the following cell uses numpy's `save` function to make six files in `.npy` format (e.g. `email_train_x.npy`, `email_train_y.npy`, `email_train_inds.npy`, `email_test_x.npy`, `email_test_y.npy`, `email_test_inds.npy`)." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "np.save('data/email_train_x.npy', x_train)\n", + "np.save('data/email_train_y.npy', y_train)\n", + "np.save('data/email_train_inds.npy', inds_train)\n", + "np.save('data/email_test_x.npy', x_test)\n", + "np.save('data/email_test_y.npy', y_test)\n", + "np.save('data/email_test_inds.npy', inds_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 4: Naive Bayes Classifier\n", + "\n", + "After finishing your email preprocessing pipeline, implement the one other supervised learning algorithm we we will use to classify email, **Naive Bayes**." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 4a) Implement Naive Bayes\n", + "\n", + "In `naive_bayes.py`, implement the following methods:\n", + "- Constructor\n", + "- get methods\n", + "- `train(data, y)`: Train the Naive Bayes classifier so that it records the \"statistics\" of the training set: class priors (i.e. how likely an email is in the training set to be spam or ham?) and the class likelihoods (the probability of a word appearing in each class — spam or ham).\n", + "- `predict(data)`: Combine the class likelihoods and priors to compute the posterior distribution. The predicted class for a test sample is the class that yields the highest posterior probability.\n", + "- `accuracy(y, y_pred)`: The usual definition :)\n", + "\n", + "\n", + "#### Bayes rule ingredients: Priors and likelihood (`train`)\n", + "\n", + "To compute class predictions (probability that a test example belong to either spam or ham classes), we need to evaluate **Bayes Rule**. This means computing the priors and likelihoods based on the training data.\n", + "\n", + "**Prior:** $$P_c = \\frac{N_c}{N}$$ where $P_c$ is the prior for class $c$ (spam or ham), $N_c$ is the number of training samples that belong to class $c$ and $N$ is the total number of training samples.\n", + "\n", + "**Likelihood:** $$L_{c,w} = \\frac{N_{c,w} + 1}{N_{c} + M}$$ where\n", + "- $L_{c,w}$ is the likelihood that word $w$ belongs to class $c$ (*i.e. what we are solving for*)\n", + "- $N_{c,w}$ is the total count of **word $w$** in emails that are only in class $c$ (*either spam or ham*)\n", + "- $N_{c}$ is the total number of **all words** that appear in emails of the class $c$ (*total number of words in all spam emails or total number of words in all ham emails*)\n", + "- $M$ is the number of features (*number of top words*).\n", + "\n", + "#### Bayes rule ingredients: Posterior (`predict`)\n", + "\n", + "To make predictions, we now combine the prior and likelihood to get the posterior:\n", + "\n", + "**Log Posterior:** $$Log(\\text{Post}_{i, c}) = Log(P_c) + \\sum_{j \\in J_i}x_{i,j}Log(L_{c,j})$$\n", + "\n", + " where\n", + "- $\\text{Post}_{i,c}$ is the posterior for class $c$ for test sample $i$(*i.e. evidence that email $i$ is spam or ham*). We solve for its logarithm.\n", + "- $Log(P_c)$ is the logarithm of the prior for class $c$.\n", + "- $x_{i,j}$ is the number of times the jth word appears in the ith email.\n", + "- $Log(L_{c,j})$: is the log-likelihood of the jth word in class $c$." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "from naive_bayes import NaiveBayes" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Test `train`\n", + "\n", + "###### Class priors and likelihoods\n", + "\n", + "The following test should be used only if storing the class priors and likelihoods directly." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Your class priors are: [0.28 0.22 0.32 0.18]\n", + "and should be [0.28 0.22 0.32 0.18].\n", + "Your class likelihoods shape is (4, 6) and should be (4, 6).\n", + "Your likelihoods are:\n", + "[[0.15997 0.15091 0.2079 0.19106 0.14184 0.14832]\n", + " [0.11859 0.16821 0.17914 0.16905 0.18082 0.18419]\n", + " [0.16884 0.17318 0.14495 0.14332 0.18784 0.18187]\n", + " [0.16126 0.17011 0.15831 0.13963 0.18977 0.18092]]\n", + "and should be\n", + "[[0.15997 0.15091 0.2079 0.19106 0.14184 0.14832]\n", + " [0.11859 0.16821 0.17914 0.16905 0.18082 0.18419]\n", + " [0.16884 0.17318 0.14495 0.14332 0.18784 0.18187]\n", + " [0.16126 0.17011 0.15831 0.13963 0.18977 0.18092]]\n" + ] + } + ], + "source": [ + "num_test_classes = 4\n", + "np.random.seed(0)\n", + "data_test = np.random.randint(low=0, high=20, size=(100, 6))\n", + "y_test = np.random.randint(low=0, high=num_test_classes, size=(100,))\n", + "\n", + "nbc = NaiveBayes(num_classes=num_test_classes)\n", + "nbc.train(data_test, y_test)\n", + "\n", + "print(f'Your class priors are: {nbc.get_priors()}\\nand should be [0.28 0.22 0.32 0.18].')\n", + "print(f'Your class likelihoods shape is {nbc.get_likelihoods().shape} and should be (4, 6).')\n", + "print(f'Your likelihoods are:\\n{nbc.get_likelihoods()}')\n", + "\n", + "print(f'and should be')\n", + "print('''[[0.15997 0.15091 0.2079 0.19106 0.14184 0.14832]\n", + " [0.11859 0.16821 0.17914 0.16905 0.18082 0.18419]\n", + " [0.16884 0.17318 0.14495 0.14332 0.18784 0.18187]\n", + " [0.16126 0.17011 0.15831 0.13963 0.18977 0.18092]]''')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Log of class priors and likelihoods\n", + "\n", + "This test should be used only if storing the log of the class priors and likelihoods." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "num_test_classes = 4\n", + "np.random.seed(0)\n", + "data_test = np.random.randint(low=0, high=20, size=(100, 6))\n", + "y_test = np.random.randint(low=0, high=num_test_classes, size=(100,))\n", + "\n", + "nbc = NaiveBayes(num_classes=num_test_classes)\n", + "nbc.train(data_test, y_test)\n", + "\n", + "print(f'Your log class priors are: {nbc.get_priors()}\\nand should be [-1.27297 -1.51413 -1.13943 -1.7148 ].')\n", + "print(f'Your log class likelihoods shape is {nbc.get_likelihoods().shape} and should be (4, 6).')\n", + "print(f'Your log likelihoods are:\\n{nbc.get_likelihoods()}')\n", + "\n", + "\n", + "print(f'and should be')\n", + "print('''[[-1.83274 -1.89109 -1.57069 -1.65516 -1.95306 -1.90841]\n", + " [-2.13211 -1.78255 -1.71958 -1.77756 -1.71023 -1.6918 ]\n", + " [-1.77881 -1.75342 -1.93136 -1.94266 -1.67217 -1.70448]\n", + " [-1.82475 -1.77132 -1.84321 -1.96879 -1.66192 -1.70968]]''')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Test `predict`" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Your predicted classes are\n", + "[3 0 3 1 0 1 1 3 0 3 0 2 0 2 1]\n", + "and should be\n", + "[3 0 3 1 0 1 1 3 0 3 0 2 0 2 1]\n" + ] + } + ], + "source": [ + "num_test_classes = 4\n", + "np.random.seed(0)\n", + "data_train = np.random.randint(low=0, high=num_test_classes, size=(100, 10))\n", + "data_test = np.random.randint(low=0, high=num_test_classes, size=(15, 10))\n", + "y_test = np.random.randint(low=0, high=num_test_classes, size=(100,))\n", + "\n", + "nbc = NaiveBayes(num_classes=num_test_classes)\n", + "nbc.train(data_train, y_test)\n", + "test_y_pred = nbc.predict(data_test)\n", + "\n", + "print(f'Your predicted classes are\\n{test_y_pred}\\nand should be\\n[3 0 3 1 0 1 1 3 0 3 0 2 0 2 1]')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 4b) Spam filtering\n", + "\n", + "Let's start classifying spam email using the Naive Bayes classifier. The following code uses `np.load` to load in the train/test split that you created last week.\n", + "- Use your Naive Bayes classifier on the Enron email dataset!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 7:** Print out the accuracy that you get on the test set with Naive Bayes. It should be roughly 89%." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "import email_preprocessor as ep" + ] + }, + { + "cell_type": "code", + "execution_count": 139, + "metadata": {}, + "outputs": [], + "source": [ + "x_train = np.load('data/email_train_x.npy')\n", + "y_train = np.load('data/email_train_y.npy')\n", + "inds_train = np.load('data/email_train_inds.npy')\n", + "x_test = np.load('data/email_test_x.npy')\n", + "y_test = np.load('data/email_test_y.npy')\n", + "inds_test = np.load('data/email_test_inds.npy')" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy is 89.24137931034483 %\n" + ] + } + ], + "source": [ + "enron_nbc = NaiveBayes(num_classes=2)\n", + "enron_nbc.train(x_train, y_train)\n", + "\n", + "enron_pred = enron_nbc.predict(x_test)\n", + "enron_acc = enron_nbc.accuracy(y_test, enron_pred)\n", + "print(\"Accuracy is\", enron_acc, \"%\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We get an accuracy of roughly 89% as desired" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 4c) Confusion matrix\n", + "\n", + "To get a better sense of the errors that the Naive Bayes classifer makes, you will create a confusion matrix. \n", + "\n", + "- Implement `confusion_matrix` in `naive_bayes.py`.\n", + "- Print out a confusion matrix of the spam classification results.\n", + "\n", + "**Debugging guidelines**:\n", + "1. The sum of all numbers in your 2x2 confusion matrix should equal the number of test samples (6525).\n", + "2. The sum of your spam row should equal the number of spam samples in the test set (3193)\n", + "3. The sum of your ham row should equal the number of spam samples in the test set (3332)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[3043. 150.]\n", + " [ 552. 2780.]]\n" + ] + } + ], + "source": [ + "matrix = enron_nbc.confusion_matrix(y_test, enron_pred)\n", + "print(matrix)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 8:** Interpret the confusion matrix, using the convention that positive detection means spam (*e.g. a false positive means classifying a ham email as spam*). What types of errors are made more frequently by the classifier? What does this mean (*i.e. X (spam/ham) is more likely to be classified than Y (spam/ham) than the other way around*)?\n", + "\n", + "**Reminder:** Look back and make sure you are clear on which class indices correspond to spam/ham." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Answer 8:**\n", + "\n", + "I did not do my class indices alphabetically, so spam is 0 and ham is 1. Then, that means that the top right corner is true spam vs predicted ham, or false negatives. The bottom left corner is false positive, true ham as predicted spam. \n", + "\n", + "We see that out of 3193 true spam, we classified 150 as ham = 4.69% false negative rate. \n", + "\n", + "At the same time, out of 3332 true ham, we classified 552 as spam = 16.57% false positive rate. \n", + "\n", + "Looking at the confusion matrix, we see that there are more false positives than negatives, ie. ham is more likely to be classified as spam than the other way around. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 5: Comparison with KNN\n", + "\n", + "\n", + "- Run a similar analysis to what you did with Naive Bayes above. When computing accuracy on the test set, you may want to reduce the size of the test set (e.g. to the first 500 emails in the test set).\n", + "- Copy-paste your `confusion_matrix` method into `knn.py` so that you can run the same analysis on a KNN classifier." + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "from knn import KNN" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [], + "source": [ + "enron_knn = KNN(2)\n", + "enron_knn.train(x_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "KNN has an accuracy of 91.14176245210727 %\n" + ] + } + ], + "source": [ + "knn_pred = enron_knn.predict(x_test, 2)\n", + "knn_acc = enron_knn.accuracy(y_test, knn_pred)\n", + "print(\"KNN has an accuracy of\", knn_acc*100, \"%\")" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[3117. 76.]\n", + " [ 502. 2830.]]\n" + ] + } + ], + "source": [ + "matrix = enron_knn.confusion_matrix(y_test, knn_pred)\n", + "print(matrix)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question 9:** What accuracy did you get on the test set (potentially reduced in size)?\n", + "\n", + "**Question 10:** How does the confusion matrix compare to that obtained by Naive Bayes (*If you reduced the test set size, keep that in mind*)?\n", + "\n", + "**Question 11:** Briefly describe at least one pro/con of KNN compared to Naive Bayes on this dataset.\n", + "\n", + "**Question 12:** When potentially reducing the size of the test set here, why is it important that we shuffled our train and test set?" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Answer 9:** \n", + "\n", + "I did not reduce test set size and got an accuracy of about 91.14%. \n", + "\n", + "**Answer 10:** \n", + "\n", + "From initial impressions it seems like the confusion matrix shows slighly less false positives and false negatives compared to Naive Bayes. \n", + "\n", + "We got a false negative rate of about 2.38%, which is almost halved compared the naive bayes. \n", + "\n", + "We got a false positive rate about 15.06%, which is slightly less than the naive bayes. \n", + "\n", + "**Answer 11:** \n", + "\n", + "One con of KNN compared to Naive Bayes on this dataset is that it is much more computationally expensive to classify with KNN. This is shown by how much longer it took to train the KNN (1 minute) vs the Naive Bayes (1.6 seconds).\n", + "\n", + "One pro of KNN in this situation is higher accuracy as well as the much better false negative and slightly better false positive rate. This could be due to the structure of KNN not assuming that each word is independent of each other, which makes sense given that words are often associated with the ones that come before it. \n", + "\n", + "**Answer 12:** \n", + "\n", + "It is important because the shuffling of the train and test set mean that the data, ie. spam and ham emails, are randomly distributed across both sets which means that the two sets are more representative of the population it came from." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extensions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 0. Classify your own datasets\n", + "\n", + "- Find datasets that you find interesting and run classification on them using your KNN algorithm (and if applicable, Naive Bayes). Analysis the performance of your classifer." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extension: Wine Quality dataset\n", + "\n", + "For this extension, I wanted to use the wine qualtiy dataset because it has been something I explored in previous projects, and now with the introduction of classification, finally have the tools to tackle the \"quality\" part. For reference, the wine datast is described as follows from previous projects: \n", + "\n", + "The wine quality dataset is a large dataset with a number of variables. It looks at red Portuguese \"Vinho Verde\" wine. The variables include physicochemical (inputs) and sensory (the output). They are: \n", + "\n", + " 1 - fixed acidity\n", + "\n", + " 2 - volatile acidity\n", + "\n", + " 3 - citric acid\n", + "\n", + " 4 - residual sugar\n", + "\n", + " 5 - chlorides\n", + "\n", + " 6 - free sulfur dioxide\n", + " \n", + " 7 - total sulfur dioxide\n", + "\n", + " 8 - density\n", + "\n", + " 9 - pH\n", + "\n", + " 10 - sulphates\n", + "\n", + " 11 - alcohol\n", + " \n", + " Output variable (based on sensory data): \n", + " 12 - quality (score between 0 and 10)\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When I ran PCA on the wine quality in prior projects I found that the variance was most explained by these 5 variables: \n", + "\n", + "['fixed acidity', 'volatile acidity', 'citric acid', 'chlorides', 'free sulfur dioxide']\n", + "\n", + "To keep to a rasonable computation time, I will choose only these 5 as my features, and then have quality as the label." + ] + }, + { + "cell_type": "code", + "execution_count": 182, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.read_csv(\"data/winequality-red.csv\")\n", + "df = df.drop(0)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I select the features" + ] + }, + { + "cell_type": "code", + "execution_count": 183, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " fixed acidity volatile acidity citric acid chlorides free sulfur dioxide\n", + "1 7.4 0.7 0 0.076 11\n", + "2 7.8 0.88 0 0.098 25\n", + "3 7.8 0.76 0.04 0.092 15\n", + "4 11.2 0.28 0.56 0.075 17\n", + "5 7.4 0.7 0 0.076 11\n", + "... ... ... ... ... ...\n", + "1595 6.2 0.6 0.08 0.09 32\n", + "1596 5.9 0.55 0.1 0.062 39\n", + "1597 6.3 0.51 0.13 0.076 29\n", + "1598 5.9 0.645 0.12 0.075 32\n", + "1599 6 0.31 0.47 0.067 18\n", + "\n", + "[1599 rows x 5 columns]" + ] + }, + "execution_count": 183, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "wine_feats = df[['fixed acidity', 'volatile acidity', 'citric acid', 'chlorides', 'free sulfur dioxide']]\n", + "wine_labels = df[\"quality\"]\n", + "wine_feats" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I do the standard 80/20 test split on it" + ] + }, + { + "cell_type": "code", + "execution_count": 184, + "metadata": {}, + "outputs": [], + "source": [ + "wine_feats = wine_feats.to_numpy(dtype=float)\n", + "wine_labels = wine_labels.to_numpy(dtype=float)" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x train shape (1279, 5)\n", + "y train shape (1279,)\n", + "x test shape (320, 5)\n", + "y test shape (320,)\n" + ] + } + ], + "source": [ + "inds = np.arange(wine_labels.size)\n", + "\n", + "wine_feats = wine_feats.copy()\n", + "y = wine_labels.copy()\n", + "\n", + "inds = np.arange(y.size)\n", + "np.random.shuffle(inds)\n", + "wine_feats = wine_feats[inds]\n", + "y = y[inds]\n", + "\n", + "# Your code here:\n", + "\n", + "train = int(wine_feats.shape[0] * (0.8))\n", + "\n", + "x_train = wine_feats[:train, :]\n", + "y_train = y[:train]\n", + "\n", + "x_test = wine_feats[train:, :]\n", + "y_test = y[train:]\n", + "\n", + "print(\"x train shape\", x_train.shape)\n", + "print(\"y train shape\", y_train.shape)\n", + "print(\"x test shape\", x_test.shape)\n", + "print(\"y test shape\", y_test.shape)\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And the labels..\n", + "\n", + "however, looking at the data, we see that not all of the classes are use. Thus, we take the number of unique ones to narrow it down." + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1 5\n", + "2 5\n", + "3 5\n", + "4 6\n", + "5 5\n", + " ..\n", + "1595 5\n", + "1596 6\n", + "1597 6\n", + "1598 5\n", + "1599 6\n", + "Name: quality, Length: 1599, dtype: object" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['3' '4' '5' '6' '7' '8']\n" + ] + } + ], + "source": [ + "display(wine_labels)\n", + "print(np.unique(wine_labels))" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I also have to normalize my features. For ease of use, I decided to find use the preprocessing module available from sklearn" + ] + }, + { + "cell_type": "code", + "execution_count": 186, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import preprocessing\n", + "\n", + "wine_feats = preprocessing.normalize(wine_feats)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So we see that we have 6 unique classes. Equipped with these, I then run KNN classification on it." + ] + }, + { + "cell_type": "code", + "execution_count": 198, + "metadata": {}, + "outputs": [], + "source": [ + "wine_knn = KNN(num_classes=6)\n", + "wine_knn.train(x_train, y_train)\n", + "y_wine_pred = wine_knn.predict(x_test, 5)" + ] + }, + { + "cell_type": "code", + "execution_count": 199, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "we get an accuracy of 46.5625 %\n" + ] + } + ], + "source": [ + "acc = wine_knn.accuracy(y_test, y_wine_pred)\n", + "print(\"we get an accuracy of \", acc*100, \"%\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We get an accuracy of about 46.56% from this dataset which is pretty good considering there are 6 seperate classes. So, our classifier is performing better than random choice!\n", + "\n", + "We view the confusion matrix to see the breakdown of predictions vs truth values" + ] + }, + { + "cell_type": "code", + "execution_count": 202, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0., 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0., 2.],\n", + " [ 0., 0., 0., 1., 0., 7.],\n", + " [ 0., 0., 0., 0., 3., 82.]])" + ] + }, + "execution_count": 202, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat = wine_knn.confusion_matrix(y_test, y_wine_pred)\n", + "mat" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, we run it on Naive Bayes to see the performance comparison." + ] + }, + { + "cell_type": "code", + "execution_count": 205, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "we get an accuracy of 42.1875 %\n" + ] + } + ], + "source": [ + "wine_knn = NaiveBayes(num_classes=6)\n", + "wine_knn.train(x_train, y_train)\n", + "y_wine_pred = wine_knn.predict(x_test)\n", + "acc = wine_knn.accuracy(y_test, y_wine_pred)\n", + "print(\"we get an accuracy of \", acc, \"%\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We get a slightly lower accruacy of 42.19% which might be explained by a similar reason where the Naive Bayes assumes everytihng is independent, however, if we look at our feature names a lot of them are acidity which indicates that they might have some relationship between each other.\n", + "\n", + "\n", + "Overall, this was an interesting experiment to see how our classifier would perform on numeric data with more features. Again, our KNN performs slightly better than the Naive Bayes. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1. Better text preprocessing\n", + "\n", + "- If you look at the top words extracted from the email dataset, many of them are common \"stop words\" (e.g. a, the, to, etc.) that do not carry much meaning when it comes to differentiating between spam vs. non-spam email. Improve your preprocessing pipeline by building your top words without stop words. Analyze performance differences." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2. Feature size\n", + "\n", + "- Explore how the number of selected features for the email dataset influences accuracy and runtime performance." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 3. Distance metrics\n", + "- Compare KNN performance with the $L^2$ and $L^1$ distance metrics" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 4. K-Fold Cross-Validation\n", + "\n", + "- Research this technique and apply it to data and your KNN and/or Naive Bayes classifiers." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extension: k-fold cross-validation\n", + "\n", + "For this extension, I wanted to implement k-fold cross validation to better evaluate the performance of the model compared to the test/train split that we were using. I reesarched online and found the procedure to be:\n", + "\n", + "Shuffle the dataset randomly.\n", + "\n", + "Split the dataset into k groups\n", + "\n", + "For each unique group:\n", + "\n", + " Take the group as a hold out or test data set\n", + "\n", + " Take the remaining groups as a training data set\n", + "\n", + " Fit a model on the training set and evaluate it on the test set\n", + "\n", + " Retain the evaluation score and discard the model\n", + " \n", + "Summarize the skill of the model using the sample of model evaluation scores\n", + "\n", + "I implemented this in my Naive Bayes classifier for faster run times and evaluate the metrics produced compared to train/test below:" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(32625, 200)\n", + "start 0 end 10875\n", + "test (10875, 200)\n", + "train (21750, 200)\n", + "start 10875 end 21750\n", + "test (10875, 200)\n", + "train (21750, 200)\n", + "start 21750 end 32625\n", + "test (10875, 200)\n", + "train (21750, 200)\n" + ] + } + ], + "source": [ + "print(features.shape)\n", + "kfold = NaiveBayes(2)\n", + "kfold.kfold(features, y, 3)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The above code is to demonstrate that my k-fold splits work. Features is all the data vectors, with 32625 samples, and splitting that into 3-folds means that my test is 10875 samples (1 fold) while my training is 21750 samples (the other 2 folds). The start and stop indices also show the sliding window for the kth validation fold.\n", + "\n", + "I then do the full k-fold cross validation on k = 10 and return the produced accuracies in a list. To evaluate, I will plot the accuracies as well as take the average of the list and compare it to the accuracy of the test/train split from before for Naive Bayes." + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [], + "source": [ + "kfold = NaiveBayes(2)\n", + "acc = kfold.kfold(features, y, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.arange(10)\n", + "plt.plot(x, acc)\n", + "plt.xlabel(\"k-th fold as validation\")\n", + "plt.ylabel(\"accuracy\")\n", + "plt.title(\"Accuracy of Naive Bayes over kth fold\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "the mean accuracy with k-fold cross validation is 89.57694665849172 %\n" + ] + } + ], + "source": [ + "avg = np.mean(acc)\n", + "print(\"the mean accuracy with k-fold cross validation is\", avg, \"%\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With a regular test/train split, we got an accruacy of about 89.24%\n", + "\n", + "With k-fold cross validation, we got a slightly higher average accuracy of about 89.58%\n", + "\n", + "As we can see, the k-fold cross validation technique actually results in a higher accuracy than with a simple test/train split, which means that the way in which we shuffled the test/train probably in fact lowered the accuracy by a little bit. The k-fold cross-validation gives us a less biased accuracy metric because it cross validates against a number of train/test splits which means that we can actually expect our naive bayes to perform better than we thought. " + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extension: Follow up to k-fold\n", + "\n", + "Doing some more research on k-fold cross validation, I saw that there was some debate on the optimal number of k to choose for k-fold cross validation. To explore this further, I decided to find the optimal choice of k for this specific enron data set and see which would give me the best performance. I explore this from k = 2 to k = 10." + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [], + "source": [ + "avg_accs = []\n", + "\n", + "for k in range(2,10):\n", + " kfold = NaiveBayes(2)\n", + " acc = kfold.kfold(features, y, k)\n", + " avg_accs.append(np.mean(acc))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.arange(2,10)\n", + "plt.plot(x, avg_accs)\n", + "plt.xlabel(\"choice of k\")\n", + "plt.ylabel(\"accuracy\")\n", + "plt.title(\"Optimal choice of k for Naive Bayes\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "We get the highest accuracy of 89.68888888888888 % at k = 2\n" + ] + } + ], + "source": [ + "i = np.argmax(avg_accs)\n", + "print(\"We get the highest accuracy of \", avg_accs[i], \"%\", \"at k = \", i + 1)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Interestingly enough, in this case, we get the best accuracy of around 89.69% at k = 2." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 5. Email error analysis\n", + "\n", + "- Dive deeper into the properties of the emails that were misclassified (FP and/or FN) by Naive Bayes or KNN. What is their word composition? How many words were skipped because they were not in the training set? What could plausibly account for the misclassifications?" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 6. Investigate the misclassification errors\n", + "\n", + "Numbers are nice, but they may not the best for developing your intuition. Sometimes, you want to see what an misclassification *actually looks like* to help you improve your algorithm. Retrieve the actual text of some example emails of false positive and false negative misclassifications to see if helps you understand why the misclassification occurred. Here is an example workflow:\n", + "\n", + "- Decide on how many FP and FN emails you would like to retrieve. Find the indices of this many false positive and false negative misclassification. Remember to use your `test_inds` array to look up the index of the emails BEFORE shuffling happened.\n", + "- Implement the function `retrieve_emails` in `email_preprocessor.py` to return the string of the raw email at the error indices.\n", + "- Call your function to print out the emails that produced misclassifications.\n", + "\n", + "Do the FP and FN emails make sense? Why? Do the emails have properties in common? Can you quantify and interpret them?" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Acknowledgments\n", + "\n", + "https://machinelearningmastery.com/k-fold-cross-validation/ for kfold cross validation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + } + ], + "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": "3.8.15" + }, + "vscode": { + "interpreter": { + "hash": "aee8b7b246df8f9039afb4144a1f6fd8d2ca17a180786b69acc140d282b71a49" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/naive_bayes.py b/naive_bayes.py new file mode 100644 index 0000000..7842224 --- /dev/null +++ b/naive_bayes.py @@ -0,0 +1,175 @@ +'''naive_bayes_multinomial.py +Naive Bayes classifier with Multinomial likelihood for discrete features +''' +import numpy as np + + +class NaiveBayes: + '''Naive Bayes classifier using Multinomial likeilihoods''' + def __init__(self, num_classes): + '''Naive Bayes constructor + ''' + self.num_classes = num_classes + self.class_priors = None + self.class_likelihoods = None + + def get_priors(self): + '''Returns the class priors''' + return self.class_priors + + def get_likelihoods(self): + '''Returns the class likelihoods''' + return self.class_likelihoods + + def train(self, data, y): + '''Train the Naive Bayes classifier so that it records the "statistics" of the training set + + Parameters: + ----------- + data: ndarray. shape=(num_samps, num_features). + y: ndarray. shape=(num_samps,). + ''' + num_features = data.shape[1] + self.class_likelihoods = np.zeros((self.num_classes, num_features)) + self.class_priors = np.zeros(self.num_classes) + + for i in range(self.num_classes): + matches = np.where(y == i, 1, 0) + self.class_priors[i] = np.sum(matches)/y.shape[0] + for j in range(data.shape[1]): + idx = np.where(y == i) + class_words = np.sum(data[:, j][idx]) + total_words = np.sum(data[idx, :]) + likelihoods = (class_words + 1)/(total_words + data.shape[1]) + self.class_likelihoods[i, j] = likelihoods + + + def predict(self, data): + '''Combine the class likelihoods and priors to compute the posterior distribution. + + Parameters: + ----------- + data: ndarray. shape=(num_test_samps, num_features). + + Returns: + ----------- + ndarray of nonnegative ints. shape=(num_samps,). Predicted class of each test data sample. + ''' + log_prior = np.log(self.class_priors) + log_posterior = log_prior + data @ np.log(self.class_likelihoods).T + + classes = np.argmax(log_posterior, axis = 1) + + return classes + + + + def accuracy(self, y, y_pred): + '''Computes accuracy based on percent correct: Proportion of predicted class labels `y_pred` + that match the true values `y`. + + Parameters: + ----------- + y: ndarray. shape=(num_data_sams,) + Ground-truth, known class labels for each data sample + y_pred: ndarray. shape=(num_data_sams,) + Predicted class labels by the model for each data sample + + Returns: + ----------- + float. Between 0 and 1. Proportion correct classification. + + ''' + + pc = np.sum(np.where(y == y_pred, 1, 0))/y.shape[0] * 100 + + return pc + + def confusion_matrix(self, y, y_pred): + '''Create a confusion matrix based on the ground truth class labels (`y`) and those predicted + by the classifier (`y_pred`). + + Parameters: + ----------- + y: ndarray. shape=(num_data_samps,) + Ground-truth, known class labels for each data sample + y_pred: ndarray. shape=(num_data_samps,) + Predicted class labels by the model for each data sample + + Returns: + ----------- + ndarray. shape=(num_classes, num_classes). + Confusion matrix + ''' + + matrix = np.zeros((self.num_classes, self.num_classes)) + + for i in range(self.num_classes): + for j in range(self.num_classes): + act_match = np.where(y == i, 1, 0) + pred_match = np.where(y_pred == j, 1, 0) + matches = np.logical_and(act_match, pred_match) + matrix[i, j] = np.sum(np.where(matches == True, 1, 0)) + + return matrix + + def kfold(self, data, labels, k): + '''Perform k-fold cross validation on the data and labels. Returns an array of accuracies + + Parameters: + ----------- + data: ndarray. shape=(num_data_samps, num_features). + labels: ndarray. shape=(num_data_samps,). + k: int. Number of folds to use in cross validation + + Returns: + ----------- + accuracies: ndarray. shape=(k,). Array of accuracies for each fold + ''' + inds = np.arange(labels.size) + + # shuffle data + features = data.copy() + y = labels.copy() + inds = np.arange(y.size) + np.random.shuffle(inds) + features = features[inds] + y = y[inds] + + accuracies = np.zeros(k) + + # start folds + start = 0 + fold = y.size//k + + for i in range(k): + end = start + fold + + # test fold + x_test = features[start:end, :] + y_test = y[start:end] + + + # before kth fold + x_before = features[0:start, :] + y_before = y[0:start] + + # after kth fold + x_after = features[end:, :] + y_after = y[end:] + + # combine into training + x_train = np.vstack((x_before, x_after)) + y_train = np.hstack((y_before, y_after)) + + # print("train", x_train.shape) + + # train and eval + self.train(x_train, y_train) + y_pred = self.predict(x_test) + acc = self.accuracy(y_test, y_pred) + accuracies[i] = acc + + start += fold + + return accuracies

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