{ "cells": [ { "cell_type": "markdown", "id": "bd34c4ff", "metadata": {}, "source": [ "# Clustering new data points\n", "\n", "PLSCAN provides HDBSCAN*-style approximate prediction for unseen feature vectors via `fast_plscan.prediction.approximate_predict`.\n", "\n", "Given a fitted `PLSCAN` model and new points, approximate prediction:\n", "\n", "1. Uses the neighbor tree built during `fit` (no tree rebuild).\n", "2. Connects each new point through mutual reachability distance.\n", "3. Returns an approximate cluster label and probability in `[0, 1]`." ] }, { "cell_type": "code", "execution_count": 6, "id": "d5bd83ba", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "from fast_plscan import PLSCAN\n", "from fast_plscan.prediction import approximate_predict" ] }, { "cell_type": "code", "execution_count": 9, "id": "036c320e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.load(\"data/clusterable/sources/clusterable_data.npy\").astype(np.float32)\n", "clusterer = PLSCAN(min_samples=5).fit(X)\n", "\n", "rng = np.random.Generator(np.random.PCG64(40))\n", "X_new = X[rng.choice(X.shape[0], 10, replace=False)] + 0.015\n", "labels, probabilities = approximate_predict(clusterer, X_new)\n", "colors = [mpl.colors.to_rgb(\"silver\"), *plt.get_cmap(\"tab10\").colors]\n", "cmap = mpl.colors.ListedColormap(colors)\n", "\n", "plt.scatter(*X.T, c=clusterer.labels_, cmap=cmap, s=2, alpha=0.5, vmax=9)\n", "plt.scatter(*X_new.T, c=labels, cmap=cmap, s=100, edgecolor=\"k\", vmax=9)\n", "plt.axis(\"off\")\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 }