{ "cells": [ { "cell_type": "markdown", "id": "4a01c807", "metadata": {}, "source": [ "# Centroids, Medoids, and Exemplars\n", "\n", "PLSCAN can efficiently compute cluster centers either as average feature\n", "coordinates (centroid), most central data points (medoid), or by finding the\n", "most dense data points (exemplars).\n", "\n", "First, lets load the data again." ] }, { "cell_type": "code", "execution_count": 1, "id": "5e05ef5d", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "plt.rcParams[\"figure.dpi\"] = 150\n", "plt.rcParams[\"figure.figsize\"] = (2.75, 0.618 * 2.75)\n", "\n", "data = np.load(\"data/clusterable/sources/clusterable_data.npy\")" ] }, { "cell_type": "markdown", "id": "f79979b0", "metadata": {}, "source": [ "The sklearn estimator ``PLSCAN`` has member-functions to compute centroids,\n", "medoids and exemplars." ] }, { "cell_type": "code", "execution_count": 2, "id": "d39867f1", "metadata": {}, "outputs": [], "source": [ "from fast_plscan import PLSCAN\n", "\n", "c = PLSCAN(min_samples=10).fit(data)\n", "centroids = c.compute_centroids()\n", "medoids = data[c.compute_medoid_indices(), :]\n", "exemplars = [data[indices, :] for indices in c.compute_exemplar_indices()]" ] }, { "cell_type": "markdown", "id": "4b8433ad", "metadata": {}, "source": [ "Centroids and medoids tend to be similar on Euclidean distances. For other\n", "distance methods, medoids are more appropriate. Exemplars provide more detail \n", "about a cluster's shape. As a result, they are used to cross-cluster membership \n", "probabilities in the ``fast_plscan.prediction`` module." ] }, { "cell_type": "code", "execution_count": 3, "id": "d3026800", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(3 * 2.75, 0.618 * 2.75))\n", "plt.subplot(1, 3, 1)\n", "plt.scatter(*data.T, c=c.labels_ % 10, s=1, linewidth=0, cmap=\"tab10\", alpha=0.1)\n", "plt.scatter(\n", " *centroids.T, c=np.arange(len(centroids)), s=10, marker=\"x\", cmap=\"tab10\", vmax=9\n", ")\n", "plt.title(\"Centroids\")\n", "plt.axis(\"off\")\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.scatter(*data.T, c=c.labels_ % 10, s=1, linewidth=0, cmap=\"tab10\", alpha=0.1)\n", "plt.scatter(\n", " *medoids.T, c=np.arange(len(medoids)), s=10, marker=\"x\", cmap=\"tab10\", vmax=9\n", ")\n", "plt.title(\"Medoids\")\n", "plt.axis(\"off\")\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.scatter(*data.T, c=c.labels_ % 10, s=1, linewidth=0, cmap=\"tab10\", alpha=0.1)\n", "for i, explrs in enumerate(exemplars):\n", " plt.scatter(*explrs.T, color=f\"C{i}\", s=2)\n", "plt.title(\"Exemplars\")\n", "plt.axis(\"off\")\n", "\n", "plt.subplots_adjust(0, 0, 1, 1, 0, 0)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.14.3" } }, "nbformat": 4, "nbformat_minor": 5 }