From 0420f09b69d91ee627669d7dbe569864f9efaebc Mon Sep 17 00:00:00 2001 From: Arthur DANJOU Date: Tue, 2 Dec 2025 16:59:26 +0100 Subject: [PATCH] Implement feature X to enhance user experience and optimize performance --- .../spectral_clustering.ipynb | 129 ++++++++++++++---- 1 file changed, 101 insertions(+), 28 deletions(-) diff --git a/M2/Unsupervised Learning/spectral_clustering.ipynb b/M2/Unsupervised Learning/spectral_clustering.ipynb index 41877ab..f62ac89 100644 --- a/M2/Unsupervised Learning/spectral_clustering.ipynb +++ b/M2/Unsupervised Learning/spectral_clustering.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 42, + "execution_count": 65, "id": "71094222", "metadata": {}, "outputs": [], @@ -20,32 +20,74 @@ "outputs": [], "source": [ "def compute_laplacian(W: np.ndarray) -> np.ndarray:\n", - " \"\"\"Compute the unnormalized graph Laplacian.\"\"\"\n", + " \"\"\"Compute the unnormalized graph Laplacian.\n", + "\n", + " Args:\n", + " W (np.ndarray): Similarity matrix.\n", + "\n", + " Returns:\n", + " np.ndarray: Unnormalized graph Laplacian.\n", + "\n", + " \"\"\"\n", " D = np.diag(np.sum(W, axis=1))\n", " return D - W\n", "\n", "\n", "def compute_symmetric_laplacian(W: np.ndarray) -> np.ndarray:\n", - " \"\"\"Compute the symmetric normalized graph Laplacian.\"\"\"\n", + " \"\"\"Compute the symmetric normalized graph Laplacian.\n", + "\n", + " Args:\n", + " W (np.ndarray): Similarity matrix.\n", + "\n", + " Returns:\n", + " np.ndarray: Symmetric normalized graph Laplacian.\n", + "\n", + " \"\"\"\n", " D_inv_sqrt = np.diag(1.0 / np.sqrt(np.sum(W, axis=1)))\n", " return np.eye(W.shape[0]) - D_inv_sqrt @ W @ D_inv_sqrt\n", "\n", "\n", "def compute_random_walk_laplacian(W: np.ndarray) -> np.ndarray:\n", - " \"\"\"Compute the random walk normalized graph Laplacian.\"\"\"\n", + " \"\"\"Compute the random walk normalized graph Laplacian.\n", + "\n", + " Args:\n", + " W (np.ndarray): Similarity matrix.\n", + "\n", + " Returns:\n", + " np.ndarray: Random walk normalized graph Laplacian.\n", + "\n", + " \"\"\"\n", " D_inv = np.diag(1.0 / np.sum(W, axis=1))\n", " return np.eye(W.shape[0]) - D_inv @ W\n", "\n", "\n", - "def sort_eigenvalues(M: np.ndarray, k: int):\n", - " \"\"\"Sort eigenvalues and eigenvectors in ascending order.\"\"\"\n", + "def sort_eigenvalues(M: np.ndarray, k: int) -> tuple:\n", + " \"\"\"Sort eigenvalues and eigenvectors in ascending order.\n", + "\n", + " Args:\n", + " M (np.ndarray): Matrix to decompose.\n", + " k (int): Number of smallest eigenvalues and eigenvectors to return.\n", + "\n", + " Returns:\n", + " tuple: Sorted eigenvalues and corresponding eigenvectors.\n", + "\n", + " \"\"\"\n", " eigenvalues, eigenvectors = np.linalg.eigh(M)\n", " idx_L = np.argsort(eigenvalues)[:k]\n", " return eigenvalues[idx_L], eigenvectors[:, idx_L]\n", "\n", "\n", "def compute_W_matrix(sigma: int, X: np.ndarray) -> np.ndarray:\n", - " \"\"\"Fill the similarity matrix W.\"\"\"\n", + " \"\"\"Fill the similarity matrix W.\n", + "\n", + " Args:\n", + " sigma (int): Parameter for the Gaussian kernel.\n", + " X (np.ndarray): Input data.\n", + "\n", + " Returns:\n", + " np.ndarray: Similarity matrix W.\n", + "\n", + " \"\"\"\n", " W = np.zeros((len(X), len(X)))\n", " for i in range(len(X)):\n", " for j in range(len(X)):\n", @@ -62,9 +104,19 @@ "metadata": {}, "outputs": [], "source": [ - "def create_X(sigma: int, n: int) -> np.ndarray:\n", - " \"\"\"Create a dataset with 4 Gaussian clusters.\"\"\"\n", - " part = int(n / 4)\n", + "def create_X(sigma: int, n: int, m: int) -> np.ndarray:\n", + " \"\"\"Create a dataset with 4 Gaussian clusters.\n", + "\n", + " Args:\n", + " sigma (int): Standard deviation of the clusters.\n", + " n (int): Total number of data points.\n", + " m (int): Number of clusters.\n", + "\n", + " Returns:\n", + " np.ndarray: Generated dataset.\n", + "\n", + " \"\"\"\n", + " part = int(n / m)\n", " norm_1 = np.random.normal(2, sigma, part)\n", " norm_2 = np.random.normal(4, sigma, part)\n", " norm_3 = np.random.normal(6, sigma, part)\n", @@ -73,10 +125,18 @@ " return np.concatenate([norm_1, norm_2, norm_3, norm_4])\n", "\n", "\n", - "def plot_eigenvalues(sigma: int, n: int, k: int):\n", - " \"\"\"Plot the eigenvalues of the Laplacian for different sigma values.\"\"\"\n", + "def plot_eigenvalues(sigma: int, n: int, m: int, k: int) -> None:\n", + " \"\"\"Plot the eigenvalues of the Laplacian for different sigma values.\n", + "\n", + " Args:\n", + " sigma (int): Standard deviation of the clusters.\n", + " n (int): Total number of data points.\n", + " m (int): Number of clusters.\n", + " k (int): Number of eigenvalues to compute.\n", + "\n", + " \"\"\"\n", " print(f\"Plotting the eigenvalues and the distribution for Sigma: {sigma}\")\n", - " X = create_X(sigma, n)\n", + " X = create_X(sigma, n, m)\n", " W = compute_W_matrix(sigma, X)\n", " L = compute_laplacian(W)\n", " eigenvalues_L, _ = sort_eigenvalues(L, k)\n", @@ -98,7 +158,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 68, "id": "b3871450", "metadata": {}, "outputs": [ @@ -111,7 +171,7 @@ }, { "data": { - "image/png": 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", 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", 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", 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", 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", 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", 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", 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", 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" ] @@ -174,8 +234,9 @@ "source": [ "k = 10\n", "n = 200\n", + "m = 4\n", "for sigma in [0.1, 1 / 4, 0.5, 1]:\n", - " plot_eigenvalues(sigma, n, k)\n" + " plot_eigenvalues(sigma, n=n, m=m, k=k)\n" ] }, { @@ -185,9 +246,21 @@ "metadata": {}, "outputs": [], "source": [ - "def spectral_clustering(sigma, k: int) -> np.ndarray:\n", - " \"\"\"Perform spectral clustering on the data.\"\"\"\n", - " X = create_X(sigma, n=200).reshape(-1, 1)\n", + "def spectral_clustering(sigma, n: int, m: int, k: int) -> np.ndarray:\n", + " \"\"\"Perform spectral clustering on the data.\n", + "\n", + " Args:\n", + " sigma: The sigma value for the similarity matrix.\n", + " n: Number of data points.\n", + " m: Number of clusters.\n", + " k: Number of eigenvectors to use.\n", + "\n", + " Returns:\n", + " X: The data points.\n", + " clusters: The cluster assignments.\n", + "\n", + " \"\"\"\n", + " X = create_X(sigma, n, m).reshape(-1, 1)\n", " W = compute_W_matrix(sigma, X)\n", " L = compute_laplacian(W)\n", "\n", @@ -201,7 +274,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 70, "id": "57c342d0", "metadata": {}, "outputs": [ @@ -209,8 +282,8 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/tp/_ld5_pzs6nx6mv1pbjhq1l740000gn/T/ipykernel_20129/3954669387.py:28: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", - " W[i, j] = 0 if i == j else np.exp(-(np.abs(X[i] - X[j]) ** 2) / (2 * sigma**2))\n" + "/var/folders/tp/_ld5_pzs6nx6mv1pbjhq1l740000gn/T/ipykernel_20129/2454322060.py:31: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " W[i, j] = (\n" ] }, { @@ -219,13 +292,13 @@ "Text(0.5, 0, 'Data Points')" ] }, - "execution_count": 48, + "execution_count": 70, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -235,7 +308,7 @@ } ], "source": [ - "X, clusters = spectral_clustering(1 / 4, k=4)\n", + "X, clusters = spectral_clustering(1 / 4, n=200, m=4, k=4)\n", "\n", "plt.scatter(X, np.zeros_like(X), c=clusters, cmap=\"magma\")\n", "plt.title(\"Spectral Clustering Results\")\n",