{ "cells": [ { "cell_type": "markdown", "id": "38a04c78", "metadata": {}, "source": [ "# Other distance metrics\n", "\n", "The [basic usage page](./using_basic_api.ipynb) demonstrated PLSCAN's most\n", "common input type: feature-vector with Euclidean distance. The packages supports\n", "several other distance metrics and inputs." ] }, { "cell_type": "code", "execution_count": 2, "id": "0ea6577f", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from fast_plscan import PLSCAN\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\")\n", "mst = np.load(\"data/clusterable/generated/clusterable_mst.npy\")" ] }, { "cell_type": "markdown", "id": "7aef38e1", "metadata": {}, "source": [ "### Non Euclidean distances\n", "\n", "We use ``scikit-learn``'s kd-tree and ball-tree to efficiently find neighbors\n", "and compute the minimum spanning tree. All distance metrics supported by these\n", "space trees are also supported by PLSCAN. \n" ] }, { "cell_type": "code", "execution_count": 3, "id": "d9f341c3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['euclidean', 'l2', 'manhattan', 'cityblock', 'l1', 'chebyshev', 'infinity', 'minkowski', 'p', 'seuclidean', 'braycurtis', 'canberra', 'haversine', 'mahalanobis', 'hamming', 'dice', 'jaccard', 'russellrao', 'rogerstanimoto', 'sokalsneath']\n" ] } ], "source": [ "print(PLSCAN.VALID_BALLTREE_METRICS)" ] }, { "cell_type": "markdown", "id": "3dc3ac04", "metadata": {}, "source": [ "For example, using the minkowski distance with power factor 3.3:" ] }, { "cell_type": "code", "execution_count": 4, "id": "dd62ab82", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = PLSCAN(\n", " space_tree=\"ball_tree\", metric=\"minkowski\", metric_kws=dict(p=3.3)\n", ").fit_predict(data)\n", "\n", "plt.scatter(*data.T, c=labels % 10, s=1, linewidth=0, cmap=\"tab10\")\n", "plt.axis(\"off\")\n", "plt.subplots_adjust(left=0, right=1, top=1, bottom=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bc631d3b", "metadata": {}, "source": [ "### Precomputed distances\n", "\n", "PLSCAN supports pre-computed distance in several formats:\n", "\n", "- (sparse) distance matrices:" ] }, { "cell_type": "code", "execution_count": 5, "id": "f6bc264f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import pairwise_distances\n", "\n", "dists = pairwise_distances(data)\n", "labels = PLSCAN(metric=\"precomputed\").fit_predict(dists)\n", "\n", "plt.scatter(*data.T, c=labels % 10, s=1, linewidth=0, cmap=\"tab10\")\n", "plt.axis(\"off\")\n", "plt.subplots_adjust(left=0, right=1, top=1, bottom=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b7def09a", "metadata": {}, "source": [ "- condensed distance matrices:" ] }, { "cell_type": "code", "execution_count": 6, "id": "eaccea83", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.spatial.distance import pdist\n", "\n", "dists = pdist(data)\n", "labels = PLSCAN(metric=\"precomputed\").fit_predict(dists)\n", "\n", "plt.scatter(*data.T, c=labels % 10, s=1, linewidth=0, cmap=\"tab10\")\n", "plt.axis(\"off\")\n", "plt.subplots_adjust(left=0, right=1, top=1, bottom=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bc8811e3", "metadata": {}, "source": [ "- precomputed minimum spanning trees:" ] }, { "cell_type": "code", "execution_count": 7, "id": "c49834c7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# min_samples=5 matches the precomputed MST.\n", "labels = PLSCAN(min_samples=5, metric=\"precomputed\").fit_predict((mst, data.shape[0]))\n", "\n", "plt.scatter(*data.T, c=labels % 10, s=1, linewidth=0, cmap=\"tab10\")\n", "plt.axis(\"off\")\n", "plt.subplots_adjust(left=0, right=1, top=1, bottom=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1c56609f", "metadata": {}, "source": [ "- k-nearest neighbors lists" ] }, { "cell_type": "code", "execution_count": 8, "id": "ec5d8071", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.neighbors import NearestNeighbors\n", "\n", "knn = NearestNeighbors(n_neighbors=10).fit(data).kneighbors(data)\n", "labels = PLSCAN(metric=\"precomputed\").fit_predict(knn)\n", "\n", "plt.scatter(*data.T, c=labels % 10, s=1, linewidth=0, cmap=\"tab10\")\n", "plt.axis(\"off\")\n", "plt.subplots_adjust(left=0, right=1, top=1, bottom=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "08e5942e", "metadata": {}, "source": [ "- sparse distance matrices:" ] }, { "cell_type": "code", "execution_count": 9, "id": "38342f1a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g_knn = (\n", " NearestNeighbors(n_neighbors=10).fit(data).kneighbors_graph(data, mode=\"distance\")\n", ")\n", "labels = PLSCAN(metric=\"precomputed\").fit_predict(g_knn)\n", "\n", "plt.scatter(*data.T, c=labels % 10, s=1, linewidth=0, cmap=\"tab10\")\n", "plt.axis(\"off\")\n", "plt.subplots_adjust(left=0, right=1, top=1, bottom=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 }