{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's have a look at how to implement KNN and K-means in Python. Again, we need to first import the required packages and load the data"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:00:49.008510Z",
"iopub.status.busy": "2024-05-31T22:00:49.008247Z",
"iopub.status.idle": "2024-05-31T22:00:52.235027Z",
"shell.execute_reply": "2024-05-31T22:00:52.234099Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Dataset already downloaded!\n"
]
}
],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from sklearn.preprocessing import StandardScaler, MinMaxScaler\n",
"from sklearn.neighbors import KNeighborsClassifier\n",
"from sklearn.cluster import KMeans\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.metrics import confusion_matrix, accuracy_score, roc_auc_score, recall_score, precision_score, roc_curve\n",
"pd.set_option('display.max_columns', 50) # Display up to 50 columns\n",
"from io import BytesIO\n",
"from urllib.request import urlopen\n",
"from zipfile import ZipFile\n",
"import os.path\n",
"\n",
"# Check if the file exists\n",
"if not os.path.isfile('data/card_transdata.csv'):\n",
"\n",
" print('Downloading dataset...')\n",
"\n",
" # Define the dataset to be downloaded\n",
" zipurl = 'https://www.kaggle.com/api/v1/datasets/download/dhanushnarayananr/credit-card-fraud'\n",
"\n",
" # Download and unzip the dataset in the data folder\n",
" with urlopen(zipurl) as zipresp:\n",
" with ZipFile(BytesIO(zipresp.read())) as zfile:\n",
" zfile.extractall('data')\n",
"\n",
" print('DONE!')\n",
"\n",
"else:\n",
"\n",
" print('Dataset already downloaded!')\n",
"\n",
"# Load the data\n",
"df = pd.read_csv('data/card_transdata.csv')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is the **dataset of credit card transactions** from [Kaggle.com](https://www.kaggle.com/datasets/dhanushnarayananr/credit-card-fraud/data) which we have used before. Recall that the target variable $y$ is `fraud`, which indicates whether the transaction is fraudulent or not. The other variables are the features $x$ of the transactions."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:00:52.239181Z",
"iopub.status.busy": "2024-05-31T22:00:52.238818Z",
"iopub.status.idle": "2024-05-31T22:00:52.262828Z",
"shell.execute_reply": "2024-05-31T22:00:52.262252Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"conf_mat = confusion_matrix(y_test, y_pred_knn, labels=[1, 0]).transpose() # Transpose the sklearn confusion matrix to match the convention in the lecture\n",
"sns.heatmap(conf_mat, annot=True, cmap='Blues', fmt='g', xticklabels=['Fraud', 'No Fraud'], yticklabels=['Fraud', 'No Fraud'])\n",
"plt.xlabel(\"Actual\")\n",
"plt.ylabel(\"Predicted\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### K-Means\n",
"\n",
"This is the first example of an unsupervised learning algorithm meaning that we will ignore the labels in the training set. We will use the `KMeans` class from the `sklearn.cluster` module to implement the K-means algorithm. Note that we can not use categorical variables in the K-means algorithm, so we will only use the continuous variables in this example. Furthermore, to simplify interpretability we will only use two variables"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:02:18.270118Z",
"iopub.status.busy": "2024-05-31T22:02:18.269864Z",
"iopub.status.idle": "2024-05-31T22:02:19.599778Z",
"shell.execute_reply": "2024-05-31T22:02:19.598778Z"
}
},
"outputs": [],
"source": [
"continuous_variables = ['distance_from_home', 'distance_from_last_transaction', 'ratio_to_median_purchase_price']\n",
"n_clusters=2\n",
"kmeans = KMeans(n_clusters=n_clusters, random_state=42, n_init=10).fit(X_train[continuous_variables])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can check the cluster centers using the `cluster_centers_` attribute of the trained model"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:02:19.604428Z",
"iopub.status.busy": "2024-05-31T22:02:19.604129Z",
"iopub.status.idle": "2024-05-31T22:02:19.609994Z",
"shell.execute_reply": "2024-05-31T22:02:19.609295Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([[-2.01860525e-05, -1.55050548e-03, -1.68843633e-01],\n",
" [ 3.66287246e-04, 2.81347918e-02, 3.06376244e+00]])"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kmeans.cluster_centers_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since we only have two variables we can easily visualize the clusters using a scatter plot. We first need to unscale the data to make the plot more interpretable"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:02:19.613074Z",
"iopub.status.busy": "2024-05-31T22:02:19.612848Z",
"iopub.status.idle": "2024-05-31T22:02:19.762905Z",
"shell.execute_reply": "2024-05-31T22:02:19.761741Z"
}
},
"outputs": [],
"source": [
"# Unscale the data\n",
"X_train_unscaled = X_train.copy()\n",
"X_train_unscaled[for_standard_scaler] = standard_scaler.inverse_transform(X_train[for_standard_scaler])\n",
"X_test_unscaled = X_test.copy()\n",
"X_test_unscaled[for_standard_scaler] = standard_scaler.inverse_transform(X_test[for_standard_scaler])\n",
"cluster_centers = standard_scaler.inverse_transform(kmeans.cluster_centers_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, we can create the scatter plot to see what the clusters look like"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:02:19.766899Z",
"iopub.status.busy": "2024-05-31T22:02:19.766606Z",
"iopub.status.idle": "2024-05-31T22:02:32.647354Z",
"shell.execute_reply": "2024-05-31T22:02:32.646632Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots()\n",
"scatter = ax.scatter(X_train_unscaled[continuous_variables[0]], X_train_unscaled[continuous_variables[2]], c=kmeans.labels_)\n",
"scatter = ax.scatter(cluster_centers[:, 0], cluster_centers[:, 2], c='black', marker='x', s=100, label = 'K-means Centers')\n",
"ax.set(xlabel=continuous_variables[0], ylabel=continuous_variables[2])\n",
"ax.set_xscale('log')\n",
"ax.set_yscale('log')\n",
"ax.legend()\n",
"plt.title('K-Means Clusters')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the centers might look a bit off because we are using log scales on the x and y-axis. In the other dimension, we don't have such a nice separation of the clusters"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:02:32.650321Z",
"iopub.status.busy": "2024-05-31T22:02:32.650079Z",
"iopub.status.idle": "2024-05-31T22:02:45.369492Z",
"shell.execute_reply": "2024-05-31T22:02:45.368870Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots()\n",
"scatter = ax.scatter(X_train_unscaled[continuous_variables[0]], X_train_unscaled[continuous_variables[1]], c=kmeans.labels_)\n",
"scatter = ax.scatter(cluster_centers[:, 0], cluster_centers[:, 1], c='black', marker='x', s=100, label = 'K-means Centers')\n",
"ax.set(xlabel=continuous_variables[0], ylabel=continuous_variables[1])\n",
"ax.set_xscale('log')\n",
"ax.set_yscale('log')\n",
"ax.legend()\n",
"plt.title('K-Means Clusters')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But what do these two clusters represent? We can check the mean of the target variable `fraud` for each cluster to get an idea of what the clusters represent"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:02:45.372694Z",
"iopub.status.busy": "2024-05-31T22:02:45.372450Z",
"iopub.status.idle": "2024-05-31T22:02:45.421311Z",
"shell.execute_reply": "2024-05-31T22:02:45.420645Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" count mean std min \\\n",
"distance_from_home 663321.0 26.694233 66.097113 0.004874 \n",
"distance_from_last_transaction 663321.0 4.988030 22.054240 0.000118 \n",
"ratio_to_median_purchase_price 663321.0 1.347721 1.226094 0.004399 \n",
"repeat_retailer 663321.0 0.881468 0.323238 0.000000 \n",
"used_chip 663321.0 0.350518 0.477133 0.000000 \n",
"used_pin_number 663321.0 0.100512 0.300682 0.000000 \n",
"online_order 663321.0 0.650643 0.476767 0.000000 \n",
"cluster 663321.0 0.000000 0.000000 0.000000 \n",
"\n",
" 25% 50% 75% max \n",
"distance_from_home 3.880252 9.969293 25.807909 10632.723672 \n",
"distance_from_last_transaction 0.296681 0.998050 3.351187 3437.278746 \n",
"ratio_to_median_purchase_price 0.455014 0.929070 1.838841 5.921543 \n",
"repeat_retailer 1.000000 1.000000 1.000000 1.000000 \n",
"used_chip 0.000000 0.000000 1.000000 1.000000 \n",
"used_pin_number 0.000000 0.000000 0.000000 1.000000 \n",
"online_order 0.000000 1.000000 1.000000 1.000000 \n",
"cluster 0.000000 0.000000 0.000000 0.000000 "
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_train_unscaled.query('cluster == 0').describe().T"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:02:45.767007Z",
"iopub.status.busy": "2024-05-31T22:02:45.766316Z",
"iopub.status.idle": "2024-05-31T22:02:45.784263Z",
"shell.execute_reply": "2024-05-31T22:02:45.783521Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"0.057474435454327545"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_train[X_train_unscaled['cluster'] == 0].mean()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:02:45.787914Z",
"iopub.status.busy": "2024-05-31T22:02:45.787597Z",
"iopub.status.idle": "2024-05-31T22:02:45.798970Z",
"shell.execute_reply": "2024-05-31T22:02:45.798255Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"0.6286430927778838"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_train[X_train_unscaled['cluster'] == 1].mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There does not seem to be a clear difference between the two clusters except for the difference in the mean of the ratio_to_median_purchase_price variable. This is not necessarily very surprising since we only used three variables in the clustering algorithm. However, due to the correlation of `ratio_to_median_purchase_price` we have more fraudulent transactions in one cluster than the other. To be able to carry out a more meaningful clustering analysis using K-means we would need a different dataset with more quantitative variables. Nevertheless, let's also check the elbow method to how many clusters it would suggest"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:02:45.802643Z",
"iopub.status.busy": "2024-05-31T22:02:45.802349Z",
"iopub.status.idle": "2024-05-31T22:03:16.309029Z",
"shell.execute_reply": "2024-05-31T22:03:16.308443Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interias = [KMeans(n_clusters=n, n_init=10).fit(X_train).inertia_ for n in range(1, 11)]\n",
"_, ax = plt.subplots()\n",
"ax.plot(range(1, 11), interias, marker='o')\n",
"ax.set(xlabel='Number of clusters', ylabel='Objective Function')\n",
"plt.title('Elbow Method')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There does not seem to be a clear elbow in the plot. Finally, we can also make predictions on the test set using the trained K-means model"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"execution": {
"iopub.execute_input": "2024-05-31T22:03:16.312235Z",
"iopub.status.busy": "2024-05-31T22:03:16.311978Z",
"iopub.status.idle": "2024-05-31T22:03:16.336753Z",
"shell.execute_reply": "2024-05-31T22:03:16.336034Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([0, 0, 0, ..., 0, 0, 1], dtype=int32)"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kmeans.predict(X_test[continuous_variables])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This assigns each observation in the test set to one of the two clusters.\n",
"\n",
"\n",
"### Conclusions\n",
"\n",
"We have seen how to implement a KNN algorithm for classification and a K-means algorithm for clustering in Python using the `sklearn` package. We have also seen how to evaluate the performance of the KNN algorithm using the confusion matrix, accuracy score, precision, recall, and ROC AUC. We have also seen how to visualize the clusters created by the K-means algorithm and tried to apply the ellow method."
]
}
],
"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": "3.8.19"
}
},
"nbformat": 4,
"nbformat_minor": 4
}