{ "cells": [ { "cell_type": "markdown", "id": "17ffef2e", "metadata": {}, "source": [ "# Exploration plots\n", "\n", "PLSCAN exposes several attributes for inspecting and visualizing its cluster\n", "hierarchy." ] }, { "cell_type": "code", "execution_count": 9, "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\")" ] }, { "cell_type": "markdown", "id": "944cc988", "metadata": {}, "source": [ "### Condensed tree\n", "\n", "Like HDBSCAN*, PLSCAN provides a condensed tree that summarizes how clusters\n", "merge as mutual reachability distance increases. Each branch represents a\n", "cluster lineage, and branch joins indicate merge events.\n", "\n", "In PLSCAN visualizations, the tree is shown using distance-based quantities,\n", "which makes distance cuts directly interpretable." ] }, { "cell_type": "code", "execution_count": 10, "id": "65dcd518", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = PLSCAN().fit(data)\n", "\n", "c.condensed_tree_.plot(select_clusters=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8ef297d1", "metadata": {}, "source": [ "The `distance_cut()` method can be used to extract clusters at a given distance:" ] }, { "cell_type": "code", "execution_count": 11, "id": "4c5ffa8a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels, probs = c.distance_cut(0.015)\n", "plt.scatter(*data.T, c=labels % 10, s=1, alpha=0.4, linewidth=0, cmap=\"tab10\")\n", "plt.axis(\"off\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e5f5705f", "metadata": {}, "source": [ "### Leaf tree\n", "\n", "PLSCAN does not select final clusters directly from the condensed tree.\n", "Instead, it builds a leaf-tree hierarchy that tracks which clusters are leaves\n", "(clusters with no child clusters) at each minimum cluster size threshold. The\n", "``leaf_tree_`` attribute stores this hierarchy:" ] }, { "cell_type": "code", "execution_count": 12, "id": "45a78fbe", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = PLSCAN().fit(data)\n", "\n", "c.leaf_tree_.plot(select_clusters=True, leaf_separation=0.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e315135a", "metadata": {}, "source": [ "The `min_cluster_size_cut()` method can be used to extract clusters at a given minimum cluster size:" ] }, { "cell_type": "code", "execution_count": 13, "id": "bc44cd38", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels, probs = c.min_cluster_size_cut(300)\n", "plt.scatter(*data.T, c=labels % 10, s=1, alpha=0.4, linewidth=0, cmap=\"tab10\")\n", "plt.axis(\"off\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0814fada", "metadata": {}, "source": [ "### Persistence trace\n", "\n", "PLSCAN selects clusters from the leaf tree by computing each leaf cluster's\n", "persistence and finding the minimum cluster size threshold with the highest\n", "total persistence. The ``persistence_trace_`` attribute visualizes this\n", "minimum-cluster-size vs persistence curve." ] }, { "cell_type": "code", "execution_count": 14, "id": "e5c46dea", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c.persistence_trace_.plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "48a6c293", "metadata": {}, "source": [ "By default, PLSCAN selects the minimum cluster size threshold with the highest\n", "persistence value. Other robust alternatives can be explored with the\n", "``cluster_layers`` method:" ] }, { "cell_type": "code", "execution_count": 15, "id": "6fe27e42", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "layers = c.cluster_layers(max_peaks=4)\n", "\n", "for i, (size, labels, probs) in enumerate(layers):\n", " plt.subplot(2, 2, i + 1)\n", " plt.scatter(*data.T, c=labels % 10, s=1, alpha=0.4, linewidth=0, cmap=\"tab10\")\n", " plt.title(f\"mcs={int(size)}\") # mcs = min cluster size\n", " plt.axis(\"off\")\n", "plt.subplots_adjust(left=0, right=1, top=1, bottom=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ec46f6a5", "metadata": {}, "source": [ "These interesting clusterings relate to peaks in the\n", "minimum_cluster_size--persistence curve:" ] }, { "cell_type": "code", "execution_count": 16, "id": "a716bb37", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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