{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial 6: Clustering with K-Means\n", "[![View notebooks on Github](https://img.shields.io/static/v1.svg?logo=github&label=Repo&message=View%20On%20Github&color=lightgrey)](https://github.com/amonroym99/uva-applied-ml)\n", "\n", "**Author:** Roan van Blanken" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial we will explore *clustering*, an **unsupervised learning** technique for grouping similar instances together. We will focus on the classical K‑Means algorithm and learn how to choose the optimal number of clusters with silhouette analysis.\n", "\n", "The k-means algorithm searches for a pre-determined number of clusters within an unlabeled multidimensional dataset. It accomplishes this using a simple conception of what the optimal clustering looks like:\n", "\n", "- The \"cluster center\" is the arithmetic mean of all the points belonging to the cluster.\n", "- Each point is closer to its own cluster center than to other cluster centers.\n", "\n", "Those two assumptions are the basis of the k-means model. We will soon dive into exactly how the algorithm reaches this solution, but for now let's take a look at a simple dataset and see the k-means result." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Loading and preparing the data\n", "\n", "We will use the `make_blobs` function from `sklearn.datasets` to generate a synthetic dataset. This dataset will be two-dimensional containing four distinct blobs for clustering. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Features of first sample: [0.83685684 2.13635938]\n" ] } ], "source": [ "from sklearn.datasets import make_blobs\n", "\n", "X, _ = make_blobs(n_samples=300, centers=4, cluster_std=0.60, random_state=0)\n", "\n", "print(\"Features of first sample: \", X[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "🤔 **Food for thought:** While loading the dataset, you might notice we do not use the `y` labels. This is because in clustering, unlike classification, we do not rely on ground truth labels during training. The goal is to discover structure in the data without being told what the correct groups are.\n", "\n", "Also, because we do not have labels, we will not be able to split the data into a training and test set. Instead, we will use the entire dataset for both training and evaluation. This is a common practice in unsupervised learning, where we often do not have labeled data to split into training and test sets." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. K‑Means clustering\n", "\n", "K‑Means seeks to partition the data into *k* clusters by minimising the within‑cluster sum‑of‑squares:\n", "$$\\min_{S_1,\\ldots,S_k} \\sum_{i=1}^{k} \\sum_{x_j \\in S_i} \\lVert x_j-\\mu_i \\rVert^2$$\n", "where $\\mu_i$ is the centroid of cluster $S_i$.\n", "\n", "We begin with $k=4$ and then explore the effect of different values of $k$ on the clustering results. We will also visualise the clusters and their centroids.\n", "\n", "Now, let's define our `KMeans` class, which will implement the K‑Means algorithm." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cluster centers:\n", " [[-1.58438467 2.83081263]\n", " [ 1.98258281 0.86771314]\n", " [ 0.94973532 4.41906906]\n", " [-1.37324398 7.75368871]]\n", "Predicted labels:\n", " [1 3 2 3 1 1 0 2 3 3 0 3 2 3 1 2 2 1 0 0 1 1 2 0 0 2 1 2 0 2 3 3 2 3 3 3 3\n", " 3 0 1 2 0 2 2 0 0 3 0 3 1 0 1 3 1 1 0 3 0 3 1 3 2 3 0 0 0 3 1 3 0 2 0 3 0\n", " 0 3 0 2 1 3 1 2 1 1 3 2 1 2 3 3 2 1 3 0 0 2 1 1 2 0 3 1 3 1 2 1 1 2 3 2 0\n", " 0 1 3 1 2 3 1 1 2 0 1 0 1 1 1 1 0 1 0 3 0 0 1 3 0 0 3 2 3 3 0 2 0 2 0 3 2\n", " 3 3 3 2 3 2 1 0 3 0 1 2 3 2 2 1 2 0 0 2 1 2 2 3 1 2 0 3 1 1 2 0 1 2 0 0 2\n", " 2 2 2 1 3 2 0 2 2 0 0 0 2 0 3 2 0 1 0 2 3 0 3 2 3 2 0 2 2 3 0 0 1 1 2 3 1\n", " 1 0 1 0 2 3 3 2 2 3 2 1 0 2 1 0 3 0 1 2 1 3 3 3 3 0 0 3 2 0 1 2 0 0 0 1 1\n", " 3 2 2 0 1 3 0 2 3 2 1 1 0 0 2 1 1 1 2 3 3 1 1 2 1 1 1 3 0 3 2 1 1 3 3 3 1\n", " 1 2 3 0]\n" ] } ], "source": [ "import numpy as np\n", "\n", "class KMeans:\n", " def __init__(self, n_clusters, max_iters=300, tol=1e-4, random_state=None):\n", " \"\"\"Initialize the KMeans clustering model with the given number of clusters.\"\"\"\n", " self.n_clusters = n_clusters\n", " self.max_iters = max_iters\n", " self.tol = tol\n", " self.cluster_centers_ = None\n", " self.random_state = random_state\n", "\n", " def fit(self, X):\n", " \"\"\"Fit the model to the data by finding the optimal cluster centers.\"\"\"\n", " X = np.array(X)\n", "\n", " # Set random seed for reproducibility\n", " if self.random_state is not None:\n", " np.random.seed(self.random_state)\n", "\n", " # Randomly initialize cluster centers\n", " self.cluster_centers_ = X[np.random.choice(X.shape[0], self.n_clusters, replace=False)]\n", " \n", " for _ in range(self.max_iters):\n", " # Assign each point to the nearest cluster center\n", " labels = np.array([np.argmin(np.linalg.norm(x - self.cluster_centers_, axis=1)) for x in X])\n", "\n", " # Compute new cluster centers\n", " new_cluster_centers = np.array([\n", " X[labels == i].mean(axis=0) if len(X[labels == i]) > 0 else self.cluster_centers_[i]\n", " for i in range(self.n_clusters)\n", " ])\n", " \n", " # Check for convergence\n", " if np.max(np.linalg.norm(new_cluster_centers - self.cluster_centers_, axis=1)) < self.tol:\n", " break\n", " \n", " self.cluster_centers_ = new_cluster_centers\n", "\n", " def predict(self, X):\n", " \"\"\"Predict the cluster labels for the given data.\"\"\"\n", " X = np.array(X)\n", " return np.array([np.argmin(np.linalg.norm(x - self.cluster_centers_, axis=1)) for x in X])\n", "\n", "# Example usage:\n", "kmeans = KMeans(n_clusters=4, random_state=42)\n", "kmeans.fit(X)\n", "y_kmeans = kmeans.predict(X)\n", "\n", "print(\"Cluster centers:\\n\", kmeans.cluster_centers_)\n", "print(\"Predicted labels:\\n\", y_kmeans)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize the results by plotting the data colored by these labels. We will also plot the cluster centers as determined by the k-means estimator:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "centers = kmeans.cluster_centers_\n", "\n", "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50, cmap='viridis')\n", "plt.scatter(centers[:, 0], centers[:, 1], c='black', s=200, alpha=0.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a sanity check, let’s compare our implementation with the one from Sklearn:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cluster centers from sklearn:\n", " [[ 1.98258281 0.86771314]\n", " [ 0.94973532 4.41906906]\n", " [-1.37324398 7.75368871]\n", " [-1.58438467 2.83081263]]\n", "Predicted labels from sklearn:\n", " [0 2 1 2 0 0 3 1 2 2 3 2 1 2 0 1 1 0 3 3 0 0 1 3 3 1 0 1 3 1 2 2 1 2 2 2 2\n", " 2 3 0 1 3 1 1 3 3 2 3 2 0 3 0 2 0 0 3 2 3 2 0 2 1 2 3 3 3 2 0 2 3 1 3 2 3\n", " 3 2 3 1 0 2 0 1 0 0 2 1 0 1 2 2 1 0 2 3 3 1 0 0 1 3 2 0 2 0 1 0 0 1 2 1 3\n", " 3 0 2 0 1 2 0 0 1 3 0 3 0 0 0 0 3 0 3 2 3 3 0 2 3 3 2 1 2 2 3 1 3 1 3 2 1\n", " 2 2 2 1 2 1 0 3 2 3 0 1 2 1 1 0 1 3 3 1 0 1 1 2 0 1 3 2 0 0 1 3 0 1 3 3 1\n", " 1 1 1 0 2 1 3 1 1 3 3 3 1 3 2 1 3 0 3 1 2 3 2 1 2 1 3 1 1 2 3 3 0 0 1 2 0\n", " 0 3 0 3 1 2 2 1 1 2 1 0 3 1 0 3 2 3 0 1 0 2 2 2 2 3 3 2 1 3 0 1 3 3 3 0 0\n", " 2 1 1 3 0 2 3 1 2 1 0 0 3 3 1 0 0 0 1 2 2 0 0 1 0 0 0 2 3 2 1 0 0 2 2 2 0\n", " 0 1 2 3]\n" ] } ], "source": [ "from sklearn.cluster import KMeans\n", "kmeans = KMeans(n_clusters=4, random_state=42)\n", "kmeans.fit(X)\n", "labels = kmeans.predict(X)\n", "\n", "print(\"Cluster centers from sklearn:\\n\", kmeans.cluster_centers_)\n", "print(\"Predicted labels from sklearn:\\n\", labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the results are similar, but our labels are swapped." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "centers = kmeans.cluster_centers_\n", "\n", "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50, cmap='viridis')\n", "plt.scatter(centers[:, 0], centers[:, 1], c='black', s=200, alpha=0.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Evaluating the clustering\n", "\n", "To evaluate the clustering, we will use the silhouette score, which measures how similar an instance is to its own cluster compared to other clusters. The silhouette score ranges from -1 to 1, where a score close to 1 indicates that the instance is well clustered, a score close to 0 indicates that the instance is on or very close to the decision boundary between two neighboring clusters, and a score close to -1 indicates that the instance might have been assigned to the wrong cluster.\n", "\n", "The **silhouette coefficient** for a sample is defined as\n", "$$s = \\frac{b-a}{\\max(a,b)} \\in [-1,1]$$\n", "where *a* is the mean intra‑cluster distance and *b* is the mean nearest‑cluster distance. A higher value indicates that the sample is well matched to its own cluster and poorly matched to neighbouring clusters.\n", "\n", "We will loop over several values of *k* and pick the one that maximises the average silhouette score." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best k according to silhouette: 4\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import silhouette_score\n", "\n", "range_k = range(2, 11)\n", "scores = []\n", "\n", "for k in range_k:\n", " kmeans = KMeans(n_clusters=k, random_state=42)\n", " kmeans.fit(X)\n", " labels = kmeans.predict(X)\n", " score = silhouette_score(X, labels)\n", " scores.append(score)\n", "\n", "best_k = range_k[int(np.argmax(scores))]\n", "print(f\"Best k according to silhouette: {best_k}\")\n", "\n", "# Plot silhouette scores\n", "plt.figure()\n", "plt.plot(list(range_k), scores, marker='o')\n", "plt.xlabel('k')\n", "plt.ylabel('Silhouette score')\n", "plt.title('Silhouette analysis for K‑Means')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "🤔 **Food for thought:** Although the silhouette score is a helpful metric for evaluating clustering performance, it should not be relied on as the only measure. This score can be misleading, especially in high-dimensional datasets or when clusters are not clearly separated. That is why it is important to always visualise the clusters to check whether the results make sense. Use the silhouette score as a guide, but also consider visual inspection and domain knowledge when deciding on the number of clusters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. When K-Means Fails and DBSCAN Succeeds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While K-Means is a widely used clustering method, it assumes that clusters are spherical and evenly distributed, which can cause problems when dealing with complex patterns. To demonstrate this, we'll use the two moons dataset, a synthetic dataset where two crescent-shaped clusters exist.\n", "\n", "First, let's create and visualize the dataset:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_moons\n", "\n", "# Generate dataset\n", "X, y = make_moons(n_samples=500, noise=0.05, random_state=42)\n", "\n", "# Visualize the dataset\n", "plt.scatter(X[:, 0], X[:, 1], s=30, color='gray')\n", "plt.title(\"Two Moons Dataset\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's apply K-Means clustering and observe its failure in correctly identifying clusters:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kmeans = KMeans(n_clusters=2, random_state=42)\n", "labels_kmeans = kmeans.fit_predict(X)\n", "\n", "# Visualize K-Means results\n", "plt.scatter(X[:, 0], X[:, 1], c=labels_kmeans, cmap='coolwarm', s=30)\n", "plt.title(\"K-Means Clustering on Two Moons Dataset\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "K-Means struggles with complex patterns because it assumes clusters are circular and relies on centroids for grouping. This limitation becomes evident when applied to datasets with non-linearly separable clusters, such as the **two moons dataset**. Since K-Means attempts to impose spherical clusters, it misclassifies points and fails to capture the underlying structure.\n", "\n", "An alternative is **DBSCAN (Density-Based Spatial Clustering of Applications with Noise)**, a clustering algorithm that groups points based on density rather than centroids. Unlike K-Means, DBSCAN does not require predefined cluster numbers; instead, it identifies clusters based on dense regions in the data while treating sparse regions as noise.\n", "\n", "DBSCAN operates using two key parameters: \n", "- `eps`: Defines the maximum distance between two points to be considered part of the same cluster. \n", "- `min_samples`: The minimum number of points required in a neighborhood for a point to be considered a core point.\n", "\n", "Selecting appropriate values for these parameters is crucial to achieving effective clustering results." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let’s apply DBSCAN and observe how it correctly identifies the two moon-shaped clusters:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import DBSCAN\n", "\n", "# Apply DBSCAN\n", "dbscan = DBSCAN(eps=0.3, min_samples=5)\n", "labels_dbscan = dbscan.fit_predict(X)\n", "\n", "# Visualize DBSCAN results\n", "plt.scatter(X[:, 0], X[:, 1], c=labels_dbscan, cmap='coolwarm', s=30)\n", "plt.title(\"DBSCAN Clustering on Two Moons Dataset\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unlike K-Means, DBSCAN successfully identifies the crescent-shaped clusters without forcing them into spherical structures. This example shows how different clustering methods perform when dealing with more complex data shapes.\n", "\n", "To get a better understanding of how various clustering algorithms work, here’s a comparison of their results on different datasets. The image below from scikit-learn makes it clear which methods handle tricky patterns better.\n", "\n", "

\n", " \n", "

\n", "\n", "*This image from scikit-learn compares different clustering algorithms on various datasets, showing their strengths and weaknesses.*\n", "\n", "This is how clustering helps uncover meaningful patterns in data! Different algorithms are suited for different types of structures, and choosing the right approach depends on the dataset and the insights we want to gain." ] } ], "metadata": { "kernelspec": { "display_name": "TML", "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": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 2 }