{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Minimum Spanning Tree Clustering\n", "\n", "This is a short notebook describing the Minimum Spanning Tree (MST) Clustering algorithm implemented at [http://github.com/jakevdp/mst_clustering/](http://github.com/jakevdp/mst_clustering/).\n", "The API of the clustering estimator is compatible with scikit-learn.\n", "\n", "Note that MST clustering is effectively identical to single-linkage Agglomerative Clustering, but uses a top-down approach rather than a bottom-up approach.\n", "Similar methods are implemented in scikit-learn's [Agglomerative Clustering](http://scikit-learn.org/stable/modules/clustering.html#hierarchical-clustering) estimator.\n", "\n", "We'll start with some initial imports and definitions; you can ignore this for now:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "\n", "# matplotlib 1.4 + numpy 1.10 produces warnings; we'll filter these\n", "import warnings; warnings.filterwarnings('ignore', message='elementwise')\n", "\n", "def plot_mst(model, cmap='rainbow'):\n", " \"\"\"Utility code to visualize a minimum spanning tree\"\"\"\n", " X = model.X_fit_\n", " fig, ax = plt.subplots(1, 2, figsize=(16, 6), sharex=True, sharey=True)\n", " for axi, full_graph, colors in zip(ax, [True, False], ['lightblue', model.labels_]):\n", " segments = model.get_graph_segments(full_graph=full_graph)\n", " axi.plot(segments[0], segments[1], '-k', zorder=1, lw=1)\n", " axi.scatter(X[:, 0], X[:, 1], c=colors, cmap=cmap, zorder=2)\n", " axi.axis('tight')\n", " \n", " ax[0].set_title('Full Minimum Spanning Tree', size=16)\n", " ax[1].set_title('Trimmed Minimum Spanning Tree', size=16);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example and Explanation of the Algorithm\n", "\n", "Minimum Spanning Tree clustering is a very intuitive algorithm.\n", "Consider the following data:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DgE35BqokZY4v0Odv7dAXdbWS1GpxWTDV0q4zhg4ePiRJmjp5vBU/AtqBHjQA\ndCBH3z2u3OxhrRaXtVRM5lsc5n84xuJlv/cWnAV7bjPnO1uLgAaAKGsp6PyrratfXqvMybe1Wb3d\n0lC2b1X5vvWrmhyOcX3uOFVWb2sW7k8896xKyzY1uzfOd7YeAQ0AUdRa0HkC9Y3VK7R/R5Wyxk9S\n59Su7Zo79hSD9erRM+C/+4Z7Q8M5nWyU0voOaXZvzGdbj4AGgChqK+icTqd69eipPlk5SukU3NKn\nYE6e8n/MkcrNzR7zzp6dGjZhCiEcJQQ0ANhcqEc9+m+QMj1/oiqrt6m0bJNKN7+ssopySWrymAfn\nzJTT6WzyWmfPnjXtnhA6NiqJYWzuEBm0s/ViuY2DPUAi3D2s/dc+b9/4km7OG69DW1/RlReny5GS\notzsYerWLd3bxr6bmRz/29+V9B/pkqTG+s907x13el873vfVDgeHZUBSbL+p2QntbL1Yb2PfoBvc\nf2DYp1QFEmj3sYO7a9Tr5izt31GlPlk5OvBqqX563106ebLpRiiGYejJVS+oz9hJkqR9Zet1d+Ft\nBHE7cFgGAHQgvgdhPFO6IWKV0UlJyd655c1bKpr9e2X1NvUZO8k7B33jLRNbnYNm2ZW5CGgAsIm2\nCsbCCUD/ueLtL6/VdZn9VP3yWt0wcLBp986yK/MR0ADQAYQbgL4FY5/v3akbL7tUX76zV6kJUkJC\norfAa9zoUc2eG0ohGMuuzMdWnwBgE7nZwwIWjEnNt/30BGAwB1wEOgjDd97bU5TmPwftCXf/xyEy\nCGgAsIlIBmKwp1cF+7jWPlwgPFRxx7BYr3y1C9rZerRx8MuxwmVGG7Psqm1RW2bV0NCghQsX6vjx\n43I4HHrkkUf0zW9+s8XHx/v/cFbjTS0yaGfr0cbnWRmAtHFkhBLQpg5xV1ZWyu1268UXX1RdXZ0e\ne+wxlZSUmPkSABC3gh1uRmwwtYp73759GjJkiCSpd+/eOnTokJmXBwAgbpga0KdOnVJqaqr366Sk\nJDU0NJj5EgAAxAVTh7hTU1N1+vRp79cNDQ1KTGz5M0AoY/EID20cGbSz9Whj69HG9mJqQPfp00fb\ntm1TXl6eDhw4oGuvvbbVx1OQYC2KPiKDdrYebWw92jgyolYkNmLECO3atUvf/e53JUmLFy828/IA\nAMQNUwM6ISFBixYtMvOSAADEJfbiBgDAhghoAABsiIAGAMCGCGgAAGyIgAYAwIYIaAAAbIiABgDA\nhghoAADLHYU3AAAQX0lEQVRsiIAGAMCGCGgAAGyIgAYAwIYIaAAAbIiABgDAhghoAABsiIAGAMCG\nCGgAAGyIgAYAwIYIaAAAbIiABgDAhghoAABsiIAGAMCGCGgAAGyIgAYAwIYIaAAAbIiABgDAhgho\nAABsiIAGAMCGCGgAAGyIgAYAwIYIaAAAbCg52jcAWMEwDFVWb5Mk5WYPk9PpjPIdAUBo6EEj5hiG\noWVrVqtLxgB1yRigZWtWyzCMaN8WAISEgEbMqazepowx+Up2OJTscKh33gRvbxoAOgoCGgAAGyKg\nEXNys4fpwKulcrtccrtcqivfqNzsYdG+LQAICUViiDlOp1Nzpk7zDmvPmTqNIjEAHQ4BjZjkdDo1\ndlRetG8DAMLGEDcAADZEQAMAYEMENAAANkRAAwBgQwQ0AAA2READAGBDBDQAADZEQAMAYEMENAAA\nNkRAAwBgQwQ0AAA2READAGBDBDQAADZEQAMAYEMENAAANkRAAwBgQwQ0AAA2lGzWhRobG5WVlaUr\nrrhCknTjjTdq7ty5Zl0eAIC4YlpAf/DBB+rRo4eeeuopsy4JAEDcMm2I+/Dhw/r44491xx13aPbs\n2XrvvffMujQAAHEnobGxsTHUJ61du1bPPfdck+8tWLBAn332mUaNGqW3335bixcv1rp160y7UQAA\n4klYAR2IYRhKSkqSw+GQJGVlZammpqbV53zyyUkzXhotSE/vShtHAO1sPdrYerRxZKSndw36saYN\ncT/55JN69tlnJUnHjh3TZZddZtalAQCIO6YVic2ePVvz589XdXW1kpOTtXjxYrMuDQBA3DEtoLt2\n7UoFNwAAJmGjEgAAbIiABgDAhkwb4gbMYhiGKqu3SZJys4fJ6XRG9ToAEA30oGErhmFo2ZrV6pIx\nQF0yBmjZmtUyDCNq1wn1NcsqylVWUW75awGIfQQ0LBNOYFVWb1PGmHwlOxxKdjjUO2+CtxccCrOu\nE6xofCAAENsIaFgilMDyBHlp2SYdOFhnyuu73W5TrhOsSH8gABD7CGhYItjA8g3ytL5D9OUFqaoq\n/YPcLpfcLpf2v7JBbpcrpF54fX29ag8f0faNLzW5Tm72MLN/TACwDAGNqCrfWqGG1AtVt6taDQ3n\nlDN5mr7y1f/Qvpoq7X7+aTWcO6e0flkBe+GBhtANw9Ci3zyuUf/rLmWNn6SDu2u0r6ZKV16cbmmR\nWG72MB14tdT7gaCufCMfCAC0CwENSwQTWIZh6O3j76pPVo56D8rWjrJSuc4YSnakqE/WcCUmJemm\nW6c06YUvKXlChmG0OIReWb1N3+iZIUlK6eRU5tBc9ckaLkdKigzDUOnml/Xokl/ppdJ1Ki3bZFpB\nl9Pp1PT8iXpj9Qq9sXqFpudPpGocQLuYdlhGONiY3VrR3vy+rWVOZRXl6pIxQMn/OmDF7XLpD088\nrvzZ9+ho1RZdkf41pfUd0uTf9++oUuKpEwH/7Yu6WkmSo3uG9lSUKWvcJEnS6y+s0PyZs7T8pT/o\nVKN0c9547S7fpKETpkiSDrxaqjlTp4UdqOnpXfXXv36iZWtWK2NMvinXRFPR/luOB7RxZETlsAzA\nn9Pp1NhReRo7Ks8bVL7D0oEKubqlXaizx+o0Z+o05eWObNILr9m8XhmDh6p33gQdPf7HgK+Zmz1M\nh7a+ogEjb9G+mir94YnHlXrBBdq2o1qJX71IQydM0dG9tRo6YYqpBV0UiQEwGwGNiPEflv7T3/+h\nfWXrmwyDz7v3+95AdzqdmjN1mt5YvUL7d1RpyNh8pXQ6H/Tdr74m4BC60+nUlRen6/Cbu5WcnKwp\n98xV/0nTdPTd46b+HKx3BmA1AhoR49/LzBxfoCsvTtcXdbX6oq424JCw0+nU3OJ7lXjqhBISEr1h\nnDdilOZMnRbwuY6UFPXJylHm0Nx/B/o116rhn59p28aXdGXP3tr8X0+HVdDV0tw3RWIAzMYcdAwz\na07JrC0zA805f/7WDjlSUtq8dij34AnR3nkTJEl15Rs1Z+o0SdKmVzdrz+EjGn3nbB2q3aUPDx3Q\ngh/MU1paWtg/Q+J/H9DQQcPZWtRCzI9ajzaOjFDmoAnoGGbG/3CesDOj+Mk/ON/etFaJSUnqM3ZS\nk2sbhqGSlcslScUzZjULz2CCsKXHBArYL+pqNXZUXlA/Q2sBDesQHtajjSODgIYkc/6Ha2+g+fMN\nTrfb3awS+9M921R79I8aWzTn/OuvWKaHiou9Id3eDwwt/Ty52cOC6v0G6p3/9L67dPJkZHcuizeE\nh/Vo48igihu25XQ6vXOzgSqxq3fv1NiiOd556ltmfM/bm5baXy0daK54cP+BQW9L6ilca23eHADM\nQECjVWYXP/kWWd0wrkDrSpY0ufYl6RebePfNBQrYnbV7Qgr9QMvHAMBsnAeNVnkCzRNY7e0xenrA\nDQ3n9FZVhcYXFWv/jip98M4BLZo7T5L085IS3TLje5KkV1Y+pYeKi73Pz80e1mIBWCg/U7hD9AAQ\nKcxBxzA7zil55oD3VlfqpuzcphXde3cqf+x41dfXt7tILBQtVX0He107tnOsoY2tRxtHBkVikGSP\n/+H8w1SSlq1Zrff+/g/lzyxuEtBvrF6hH82dH9Z1zQjpcK9nh3aOdbSx9WjjyKBIDBHX0slS/sVX\n0vlh8q85EpscB7n95bXqfvU1Qb9WsEVdwWJeGYDdENBot9ZOlgpUfOV0OnXf7Dk6U/9P7aup0r6a\nKnVNkPJGjGrx+r7hz77XAOIBAY12CzUwDcPQM6UbNGzqnUpIkP52+IBmTflOixuO+Ie/2+WS64yh\nt7dX6u3tlTp14nPtqzugR5f8SqVlm9gfG0BMIKBhmZaWaHkCvXNqV/XLGa1xc+ZqZ+0e7/N8e8zl\nla81C3/32bN67YVn1HtQtnoPylb5cyvkvvCrGlg4U5179dUPH3047KDmIAwAdkFAo91aCuJwNvXw\n7zHXvPVms8f86b0/N9nM5KpeGRqe/x01NJzTnooyTbj7fqX1HRLy3LQVc9sAEC6quGNYJKsyzTjM\nwul0NtuK8/TJE9q5brWGF87wPvaKr12ktH5Z3sfUVm5RZnaO6nZVq/egbFP32Q7m+VS/Wo82th5t\nHBmhVHGzUQlMEcrmH6FsfpLSyanMa67WF3W13sdKahLwHx47os8/+1Rfuehr7f0xAMA26EHHEP9e\nbLdu6R2ujYPdNMT3Zx3cf6C27ajWO0eP6ExisnJuK2r1ue19bX/0PKxHG1uPNo4MNiqJQ4FOeeqo\npyy15zjJ9m5gEs7zeWOzHm1sPdo4MgjoOBRP5xSbeUa1GXhjsx5tbD3aODLYSQwxxQ4blbD8CkCk\nEdAxItBSp3GjA+/M1ZEE3KjEHdlhe5ZfAYgGhrhjSCwUifkLNHT/+Vs79P6nn4V9+lSwPO158PAh\n3TCuQP/9zgFJ0nWZ/XT2WJ23ap2hQevRxtajjSODZVZxKl7OOXakpJh6RnUgvvPcAzMGaOPvn9SY\n24uU0smpbRtf0o2XXWrq6wGAP4a4YWut7VIW7OlT4cwf+89z31pUrKN7a5XscGjorQVSQoIZPx4A\ntIiAhq2Fs12oL6vmjx3/GnIHAKsQ0LC99pzVHG7Ft3/P/ZWVT+m6zH5NevEAYCXmoIEA/Lcjfai4\nWDtr9+isgp/zbu+mKQDiG1XcMYyqzPC37wyFp539tx99pnSDbTZT6ej4W7YebRwZbFQC/Et757CD\n5T/X/fiK3+v6nLyIbqYCILYwxI2YF4nlZ75z3ZI0vHCG9u+oUr+c0Za+LoDYRQ8asMiHhw40Wx4G\nAMEioAETBFqvveAH8ywfWgcQuygSi2EUfURGoCIxqrbNxd+y9WjjyGCrTyAK4mWrVQCRwRA3AAA2\nREADAGBDBDQAADZEQAMAYEMENAAANkRAAwBgQwQ0AAA2FHZAb926Vffff7/36wMHDmjKlCmaOnWq\nli5dasrNAQAQr8IK6IcfflhLlixp8r2FCxfq17/+tdasWaODBw/q6NGjptwgAADxKKyA7tOnjxYu\nXCjPLqGnTp2Sy+VSt27dJEmDBw/W7t27zbtLAADiTKtbfa5du1bPPfdck+8tXrxYY8aMUW1trfd7\np06dUmpqqvfrLl266K9//avJtwoAQPxoNaALCgpUUFDQ5kVSU1N1+vRp79enTp3ShRde2ObzQtk0\nHOGhjSODdrYebWw92theTKniTk1NlcPh0F//+lc1NjZq165duummm8y4NAAAcSns06wSEhKUkJDg\n/XrRokWaN2+ezp07p8GDB6tXr16m3CAAAPEoqudBAwCAwNioBAAAGyKgAQCwIQIaAAAbIqABALCh\nsKu422Pr1q3asmWLfv3rX3u//uUvf6lLL71UknTfffepb9++0bi1mOHfxgcOHNCjjz6qpKQkDRo0\nSPfcc0+U7zB2NDY2KisrS1dccYUk6cYbb9TcuXOje1MxoqGhQQsXLtTx48flcDj0yCOP6Jvf/Ga0\nbyvm5Ofnezeb6tatmx599NEo31HsqKur0+OPP67nn39ef/nLX/TAAw8oMTFRV199tRYsWNBkNZS/\niAf0ww8/rF27dun666/3fu/w4cOaP3++Ro4cGenbiUmB2njhwoV64okn1K1bN82ePVtHjx5V9+7d\no3iXseODDz5Qjx499NRTT0X7VmJOZWWl3G63XnzxRdXV1emxxx5TSUlJtG8rppw5c0aS9Pzzz0f5\nTmLP8uXLtWnTJnXp0kXS+Z04586dq759+2rBggV6/fXXlZub2+LzIz7E7b+Pt3Q+oNevX6/CwkL9\n4he/0Llz5yJ9WzGFvdIj6/Dhw/r44491xx13aPbs2XrvvfeifUsxY9++fRoyZIgkqXfv3jp06FCU\n7yj2HDt2TF9++aWKiop05513qq6uLtq3FDMuv/xyLV261PtefOTIEe/ocFZWVpvvw5b1oIPdx1uS\nBg0apNzcXH3jG9/QT3/6U7344osqLCy06tZiBnulR16gNl+wYIHuuusujRo1Sm+//bbmz5+vdevW\nRekOY4v/325SUpIaGhqUmEj5jFkuuOACFRUVqaCgQO+//75mzZqliooK2tgEI0eO1Icffuj92rdj\n2rlzZ508ebLV51sW0MHu4y1JkyZNUteu5/eAzcnJ0WuvvWbVbcUUq/dKR3OB2twwDCUlJUmSMjMz\n9fHHH0fj1mKS/98u4Wy+K664Qpdffrn3v9PS0vTJJ5/okksuifKdxR7fv93Tp0+3+T4c9b/0xsZG\n3Xrrrfroo48kSXv27FHPnj2jfFexhb3SrfXkk0/q2WeflXR+uPCyyy6L8h3Fjj59+qimpkbS+ULH\na6+9Nsp3FHs2bNigxx57TJL00Ucf6dSpU0pPT4/yXcWm7t27680335Qk1dTUtPk+HJUqbt99vBMS\nEvTII4/o3nvvVadOnXT11VdrypQp0bitmMJe6ZEze/ZszZ8/X9XV1UpOTtbixYujfUsxY8SIEdq1\na5e++93vShJta4HJkyfrwQcf9E4rLl68mFEKk3neix944AE99NBDcrvduuqqqzR69OjWn8de3AAA\n2A8fkwAAsCECGgAAGyKgAQCwIQIaAAAbIqABALAhAhoAABsioAEAsKH/D7PwiOKVx/gcAAAAAElF\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "X, y = make_blobs(200, centers=4, random_state=42)\n", "plt.scatter(X[:, 0], X[:, 1], c='lightblue');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By eye we can see that it contains four well-separated clusters, and a clustering algorithm should be able to find these.\n", "The MSTClustering estimator can accomplish this quite well:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hj/LEI8iH9GPnySCPf67/iKccD9Am5vKOS/d0H8nrb82gJMqD4swCfM7Y2d/5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\nVMqvP7w5wNWrZY66dKsQEODZ4tr4x9UvMymmmC2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mst_clustering import MSTClustering\n", "model = MSTClustering(cutoff_scale=2, approximate=False)\n", "labels = model.fit_predict(X)\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='rainbow');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the algorithm finds five clusters: the one outlier near the yellow cluster is put in its own group.\n", "\n", "This clustering result is computed by first constructing a graph from the input data, with nodes given by points in the dataset and edges given by distances between pairs of points.\n", "Then we find a [Minimum Spanning Tree](https://en.wikipedia.org/wiki/Minimum_spanning_tree) (MST) over this graph: an MST is a subgraph that connects all nodes such that the sum of the graph edges is minimized.\n", "\n", "We can see a representation of the minimum spanning tree over this data in the left panel of the following plot:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5ezexbg4M/yz3+63X79m1azvBwcFy86Oiothz9Bj7T/gRHx+f6+kXhMJGfEdU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sZisWj5rYiISDrWLdrGup8vYrO4cqPUdkLOTKONrwnPSzWwVTpE/7eqZ6ndhZPXceHbZhSMK0lT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\n9wF3t72x93MJbkq3F0jqNHgYRYqXSH5cp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_mst(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The right panel shows the clusters derived from this minimum spanning tree, by removing all graph edges larger than the specified cutoff_scale parameter (here, cutoff_scale = 2).\n", "Points which remain connected after the truncation are given the same label." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Strengths of MST clustering\n", "\n", "MST clustering has several advantages over other clustering algorithms:\n", "\n", "1. MST clustering is capable of detecting clusters with very irregular boundaries. This compares favorably to K Means, Meanshift, GMM, etc.\n", "2. The number of clusters is not decided *a priori* as in many other algorithms. This compares favorably to K Means, some Spectral methods, etc.\n", "3. A suitably tuned algorithm can detect clusters within background noise. This compares favorably to most other methods.\n", "4. Perhaps most importantly, the tuning parameters of the clustering have very intuitive meanings, and thus MST clustering can be a useful method for scientific data in which the user has a good prior knowledge regarding the meaningful length scale and/or cluster size.\n", "\n", "Many of these advantages are shared with, e.g. [DBSCAN](https://en.wikipedia.org/wiki/DBSCAN) which uses a similar but conceptually distinct model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Clusters In Background Noise\n", "\n", "Let's take a look at the results of MST clustering in the presense of background noise.\n", "Consider this data:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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k41afFJBSW0eK9BAOo/L1XTH28nlueXsmfxc+uHyFW6iSkJigVSbqHtjs3OXR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\neYuVXqpg/WGRWPi4xnrW9AzhbiJEJSd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(int(100 * y[-1]))\n", "noise = -14 + 28 * rng.rand(200, 2)\n", "\n", "X_noisy = np.vstack([X, noise])\n", "y_noisy = np.concatenate([y, np.full(200, -1, dtype=int)])\n", "\n", "plt.scatter(X_noisy[:, 0], X_noisy[:, 1], c='lightblue', cmap='spectral_r')\n", "plt.xlim(-15, 15)\n", "plt.ylim(-15, 15);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that there are four distinct overdensities in this data.\n", "Let's take a look at what the minimum spanning tree does in this case:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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tl0qlNG7cmMuXL8u2qVixIhUqVJBto6WlRb169WTbCIIgKEpmBtFLnqdoamqiq6tL7dq1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WITvOrN7yNdg58+Zr6Lfsd/0xqO7A9g8uQJHDxziUbdSqeJuICAQNHRsGVtGu6tjVqt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QNvc2krBqmGpZA2Cv3Zq7leaSWu0pIm0lAf0qUcPZnhrO9vgEwdTe2zC9osqdYKftQ1T1n6iQ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\nYEAQfvxxA4/Y6rBnV3t9m6nY8fFx8PX1E2wlOqGVTi/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noisy_model = MSTClustering(cutoff_scale=1)\n", "noisy_model.fit(X_noisy)\n", "plot_mst(noisy_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cutting the long edges does separate the four large clusters, but it also leads to a large number of isolated clusters with just a handful of points.\n", "We can easily filter these out by specifying a minimum cluster size; all points which don't belong to a large enough cluster are grouped together with the label -1:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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XSqXY29tz/vx52TbVq1enWrVqsm10dHSwtLSUbSMIglBYcjOIXsY8RVtbGz09PUxNTWXr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O1ntES/IGXti0kndef0stOivCmjUr+fHH2ezaFfXC8NjnUd4xkEql/LrkX9r2yi8IVFDUp7QJ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\nFDRrZk+zZraVrFa9pKWlcu/e3SLf5eTkoKu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noisy_model = MSTClustering(cutoff_scale=1, min_cluster_size=10)\n", "noisy_model.fit(X_noisy)\n", "plot_mst(noisy_model, cmap='spectral_r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thus, by appropriately tuning the cutoff scale and the minimum number of points per cluster, you can recover even clusters within a noisy background." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Future Work\n", "\n", "There are [methods in the literature](http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4031882&tag=1) that discuss how to tune these parameters automatically; I hope to implement some of them in this package in the future." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.4", "language": "", "name": "python3.4" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }