{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we consider an information theoretic clustering function proposed by Principe et al. for image processing and combine it with some search heuristic for graph clustering." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An Information Theoretic Clustering Evaluation Function\n", "--------------------------------------------------------\n", "Given two distributions $p(x)$ and $q(x)$, and $N$ $n$-dimensional samples ${\\bf x}_i$, $i=1,\\ldots,N$, we are looking for a clustering of the $N$ points into two clusters, one corresponding to $p(x)$, and one to $q(x)$. \n", "The following clustering evaluation function, proposed by J. Principe and his coauthors, is considered:\n", "$$\n", "\\frac{1}{N_1N_2}\\sum_{i=1}^{N_1}\\sum_{j=1}^{N_2}\\frac{1}{(2\\pi)^{n/2}(2\\sigma^2)^{n/2}}\\exp\\left(-\\frac{1}{2}({\\bf x}_i-{\\bf x}_j)^T \\frac{1}{2\\sigma^2}({\\bf x}_i-{\\bf x}_j) \\right)\n", "$$\n", "where each sum is done over one cluster, thus one cluster containing $N_1$ samples, and the other $N_2$, with $N_1+N_2=N$. The minimum of this clustering evaluation function over all possible clusterings gives an allocation of each point to its distribution. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define a function that performs a within graph cluster evaluation using the above information theoretic function." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import time\n", "import random\n", "import numpy as np\n", "import networkx as nx\n", "import pylab as plt\n", "\n", "def GGraphwithin(G,sigma2,start_clusters,verbose):\n", " #take a networkx directed graph as input, and sigma2 (which means sigma**2) is the bandwidth parameter \n", " #orig_nb is the originial number of clusters before agglomeration\n", " \n", " #no of vertices \n", " N = G.order()\n", " dist = np.zeros((N,N))\n", " \n", " #modified Jaccard distance\n", " for u in G.nodes():\n", " neighbu = list(G.neighbors(u))\n", " #if node has a zero out-degree, then it has distance \"infinity\"\n", " if len(neighbu) == 0:\n", " dist[u,:] = 1\n", " else: \n", " for v in G.nodes():\n", " if not(v == u):\n", " neighbv = list(G.neighbors(v))\n", " DJuv = 1-len(set(neighbu).intersection(set(neighbv)))/len(set(neighbu).union(set(neighbv)))\n", " neighbuall = neighbu + [u]\n", " neighbvall = neighbv + [v]\n", " DJuvall = 1-len(set(neighbuall).intersection(set(neighbvall)))/len(set(neighbuall).union(set(neighbvall)))\n", " dist[u,v] = (DJuv + DJuvall)/2 \n", " dist[u,u] = 0\n", " \n", " #the input is one-dimensional\n", " n=1\n", " \n", " def EF(cur_label,new_members):\n", " #cur_label contains the current cluster\n", " #new_members is the list of nodes to choose a new cluster member from \n", " N2 = len(cur_label)\n", " N1 = len(new_members)\n", " #initialization of the evaluation function\n", " Geval = 0\n", " Gevalmin = 1000\n", " new_member = 0\n", " #choose a new member\n", " for k1 in range(N1):\n", " #compute its distance with all members of the current cluster\n", " for k2 in range(N2):\n", " #some of the terms which do not influence the minimum have been ignored in the evaluation function\n", " x = dist[new_members[k1],cur_label[k2]]\n", " Geval = Geval + np.exp((-1/2)*(x*((1/(2*sigma2))*x))*(1/((2*sigma2)**(n/2))))\n", " Geval = Geval/(N2+1) \n", " #choose as new member the neighbour with the lowest Geval\n", " valid = (evaluated_ef[new_members[k1]]==0 or evaluated_ef[new_members[k1]]>Geval)\n", " if Geval < Gevalmin and valid:\n", " Gevalmin = Geval\n", " new_member = new_members[k1]\n", " evaluated_ef[new_member] = Gevalmin\n", " return new_member\n", " \n", " #initial labelling\n", " label = np.zeros(N)\n", " #pick some nodes at random forming the original singleton clusters\n", " #nb of clusters\n", " if type(start_clusters) == int:\n", " evaluated = random.sample(range(N),start_clusters)\n", " nb_orig = start_clusters\n", " else:\n", " evaluated = start_clusters\n", " nb_orig = len(start_clusters)\n", " evaluated_ef = np.zeros(N)\n", " if verbose == True:\n", " print('initial singleton clusters', evaluated)\n", " #assign them each to their own clusters\n", " for i in range(len(evaluated)):\n", " label[evaluated[i]] = i+1 \n", " \n", " #tic\n", " t = time.time()\n", " Gundirected = G.to_undirected()\n", " while np.count_nonzero(label) < N: #and all_leaves == False:\n", " all_leaves = True\n", " for l in range(nb_orig):\n", " #find all points belonging to cluster l\n", " cl = np.where((label - (l+1)*np.ones(N)) == 0)[0]\n", " list_neighbours = []\n", " list_allneighbours = []\n", " for node in cl:\n", " list_neighbours.extend([neighb for neighb in list(Gundirected[node]) if label[neighb] == 0])\n", " list_allneighbours.extend([neighb for neighb in list(Gundirected[node])])\n", " if len(list_neighbours) > 0:\n", " new_member_l = EF(cl,list_neighbours)\n", " label[new_member_l] = l+1 \n", " \n", " #toc \n", " elapsed = time.time() - t\n", " if verbose == True:\n", " print('time in secs:',elapsed)\n", " print('no of clusters:',nb_orig)\n", " \n", " return list(label)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plots the graph clustering." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_cluster(G,labels,pos):\n", " #G is the graph, labels contains the clustering, \n", " #pos is to use an existing graph layout\n", " \n", " val_map = {}\n", " for k in range(0,G.order()):\n", " val_map[k] = labels[k]\n", "\n", " values = [val_map.get(node, 0) for node in G.nodes()]\n", "\n", " #this fixes the size of the figure\n", " #plt.figure(1,figsize=(6,6)) \n", " nx.draw(G, pos, cmap=plt.get_cmap('rainbow'), node_color=values, node_size = 200, with_labels=True)\n", " #nx.draw(G, pos, cmap=plt.get_cmap('rainbow'), node_color=values, node_size = 50)\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This creates a toy example." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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kKxVRERETnDx5Ei8vL3LmzElYWBilS5c2O5KISLpTERURSWcnTpzA09MTFxcX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\n7TP21LZYLMbQrq+vLz179uSuu+4iLCyMnj17Eho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OnTqlQvIiUm8UREVELlBcXExWVhZb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\nQV/VbF5v17kAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.scale_free_graph(10)\n", "pos = nx.spring_layout(G)\n", "plot_cluster(G,[0 for x in G.nodes()],pos)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial singleton clusters [4, 8]\n", "time in secs: 0.007456064224243164\n", "no of clusters: 2\n" ] } ], "source": [ "Glab = GGraphwithin(G,0.1,random.sample(range(G.order()),2),True)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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y559/4uvri4eHB06nk4oVK1odSUQkU6mIiohYYO/evfj6+pI3b14iIyOpUKGC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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "2\n" ] } ], "source": [ "plot_cluster(G,Glab,pos)\n", "print(len(set(Glab)))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial singleton clusters [4]\n", "time in secs: 0.000293731689453125\n", "no of clusters: 1\n" ] } ], "source": [ "Glab = GGraphwithin(G,0.1,random.sample(range(G.order()),1),True)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cluster(G,Glab,pos)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we define a function that aggregates clusters." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def AggloClus(G,initial_label,verbose):\n", " #take as input a graph and an initial clustering\n", " \n", " N = G.order()\n", " dist = np.zeros((N,N))\n", " \n", " #modified Jaccard distance\n", " for u in G.nodes():\n", " #the code below works for u=v, only problem is if u=v has a zero out-degree\n", " dist[u,u] = 0\n", " neighbu = list(G.neighbors(u))\n", " #if node has a zero out-degree, then it has distance \"infinity\"\n", " if len(neighbu) == 0:\n", " dist[u,:] = N + 1\n", " else: \n", " for v in G.nodes():\n", " if not(v == u):\n", " neighbv = list(G.neighbors(v))\n", " DJuv = 1-len(set(neighbu).intersection(set(neighbv)))/len(set(neighbu).union(set(neighbv)))\n", " neighbuall = neighbu + [u]\n", " neighbvall = neighbv + [v]\n", " DJuvall = 1-len(set(neighbuall).intersection(set(neighbvall)))/len(set(neighbuall).union(set(neighbvall)))\n", " dist[u,v] = (DJuv + DJuvall)/2 \n", " \n", " #the input is one-dimensional\n", " n=1\n", " \n", " def EF(clus1,clus2):\n", " #sigma\n", " sigma2 = 1\n", " #input, two existing clusters \n", " N1 = len(clus1)\n", " N2 = len(clus2)\n", " #initialization of the evaluation function\n", " Geval = 0\n", " #computes the distance between the 2 clusters\n", " for k1 in range(N1):\n", " for k2 in range(N2):\n", " #some of the terms which do not influence the minimum have been ignored in the evaluation function\n", " x = dist[clus1[k1],clus2[k2]]\n", " Geval = Geval + np.exp((-1/2)*(x*((1/(2*sigma2))*x))*(1/((2*sigma2)**(n/2)))) \n", " return Geval/(N2*N1) \n", " \n", " \n", " #nb of nodes\n", " N = len(list(initial_label))\n", " #node labelling\n", " label = np.zeros(N)\n", " #list and nb of clusters present\n", " list_clusters = list(set(initial_label))\n", " nb_clusters = len(list_clusters)\n", "\n", " #gather points in the same cluster \n", " cl = []\n", " idl = []\n", " for l in list_clusters:\n", " #find all points belonging to cluster l\n", " cl.append(np.where((initial_label - l*np.ones(N)) == 0)[0])\n", " #idl just keeps track of where the cluster l is stored\n", " idl.append(l)\n", " \n", " #computes the distances among clusters\n", " dGeval = np.zeros((nb_clusters,nb_clusters))\n", " for l1 in range(nb_clusters):\n", " for l2 in range(l1+1,nb_clusters):\n", " dGeval[l1][l2] = EF(cl[l1],cl[l2]) \n", " dGeval[l2][l1] = dGeval[l1][l2] \n", " \n", " #tic\n", " t = time.time() \n", " while len(list_clusters) > 0:\n", " #pick an existing cluster at random\n", " curr_cluster = int(random.sample(list_clusters,1)[0]) \n", " for u in cl[idl.index(curr_cluster)]:\n", " label[u] = curr_cluster\n", " #remove the cluster \n", " list_clusters.pop(list_clusters.index(curr_cluster))\n", " #look for the closest neighbour\n", " neighb_list = [list(dGeval[idl.index(curr_cluster)])[idl.index(u)] for u in list_clusters] \n", " if len(neighb_list) > 0:\n", " neighb = int(list_clusters[neighb_list.index(max(neighb_list))])\n", " for u in cl[idl.index(neighb)]:\n", " label[u] = curr_cluster\n", " #remove the neighbour \n", " list_clusters.pop(list_clusters.index(neighb)) \n", "\n", " #toc \n", " elapsed = time.time() - t\n", " if verbose == True:\n", " print('time in secs:',elapsed)\n", " print('no of clusters:',len(set(label)))\n", " \n", " return list(label)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define a function that combines both the above function to obtain a hierarchical clustering." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def HierClus(G,nb_iter,sigma2,start_clusters,verbose):\n", " #G is the graph\n", " #nb_iter is the number of times the agglomeration is done\n", " #orig_nb is the number of singleton clusters to start\n", " \n", " #computes an initial labelling\n", " initiallabel = GGraphwithin(G,0.01,start_clusters,verbose)\n", " \n", " #keeps track of all the labellings for plotting purpose\n", " all_labels = [[] for k in range(nb_iter)]\n", " all_labels[0] = initiallabel\n", " \n", " #repeat the agglomeration nb_iter times\n", " for k in range(1,nb_iter):\n", " all_labels[k] = AggloClus(G,all_labels[k-1],verbose)\n", " \n", " return all_labels" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#https://stackoverflow.com/questions/12725263/computing-f-measure-for-clustering\n", "\n", "def compute_pairs(labels):\n", " Lpairs = []\n", " clus_list = set(labels)\n", " for clus in clus_list: \n", " s = [i for i, x in enumerate(labels) if x == clus]\n", " for i in range(len(s)):\n", " for j in range(i+1,len(s)):\n", " #[set(i) for i in itertools.combinations(s, 2)]\n", " Lpairs.extend([(s[i],s[j])])\n", " return Lpairs" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def Fmeasure(labels,truthlabels):\n", " Pclus = set(compute_pairs(labels))\n", " Ptrue = set(compute_pairs(truthlabels))\n", " a = len(Pclus.intersection(Ptrue))\n", " b = len(Pclus-Ptrue)\n", " c = len(Ptrue-Pclus)\n", " F = (2*a)/(2*a+b+c)\n", " return F" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Montreal Gang Network\n", "----" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "no of vertices 36\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "import pylab as plt\n", "\n", "import csv\n", "reader = csv.reader(open(\"MontrealCSV/MONTREALGANG.csv\"), delimiter=\",\")\n", "L = []\n", "cnt_row = 0\n", "for row in enumerate(reader):\n", " cnt_row = cnt_row + 1\n", " L.append(row[1][1:])\n", "adjlist = [list(map(int,adj)) for adj in L[1:]]\n", "E = [(i,j) for i in range(len(adjlist)) for j in range(len(adjlist)) if not(adjlist[i][j]==0)]\n", "\n", "GMG=nx.DiGraph()\n", "GMG.add_nodes_from(range(0,cnt_row))\n", "#edges\n", "GMG.add_edges_from(E)\n", "print('no of vertices',GMG.order())\n", "\n", "#computes the graph layout\n", "posGMG = nx.nx_pydot.graphviz_layout(GMG)\n", "#plots the graph\n", "plot_cluster(GMG,[0 for x in GMG.nodes()],posGMG)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial singleton clusters [6, 3, 7, 2, 9]\n", "time in secs: 0.0032112598419189453\n", "no of clusters: 5\n" ] } ], "source": [ "GMGlab = GGraphwithin(GMG,0.1,random.sample(range(G.order()),5),True)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cluster(GMG,GMGlab,posGMG)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial singleton clusters [28, 22, 2, 29, 30]\n", "time in secs: 0.004473209381103516\n", "no of clusters: 5\n", "time in secs: 0.0003139972686767578\n", "no of clusters: 3\n", "time in secs: 5.078315734863281e-05\n", "no of clusters: 2\n" ] } ], "source": [ "GMGalllabels = HierClus(GMG,3,0.01,random.sample(range(GMG.order()),5),True)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from networkx.drawing.nx_agraph import graphviz_layout\n", "\n", "#fig = plt.figure(figsize=(15,25))\n", "#fig = plt.figure()\n", "\n", "#*********first subplot\n", "#plt.subplot(3, 1, 1)\n", "plot_cluster(GMG,GMGalllabels[0],posGMG)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#*********second subplot\n", "#plt.subplot(3, 1, 2)\n", "plot_cluster(GMG,GMGalllabels[1],posGMG)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#*********third subplot\n", "#plt.subplot(3, 1, 3)\n", "plot_cluster(GMG,GMGalllabels[2],posGMG)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The EU email network\n", "--" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1005\n" ] }, { "data": { "text/plain": [ "25571" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Geu = nx.read_edgelist('email-Eu-core.txt', nodetype=int, create_using= nx.DiGraph())\n", "print(Geu.order())\n", "Geu.size()" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#posGeu = nx.nx_pydot.graphviz_layout(Geu)\n", "poseGeu = nx.spring_layout(Geu)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cluster(Geu,[0 for x in Geu.nodes()],posGeu)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "42" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import csv\n", " \n", "EU_gt = []\n", "with open('email-Eu-core-department-labels.txt') as csv_file:\n", " csv_reader = csv.reader(csv_file, delimiter=' ')\n", " line_count = 0\n", " for row in csv_reader:\n", " EU_gt.append(int(row[1]))\n", " line_count += 1\n", "len(set(EU_gt))" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial singleton clusters [7, 881, 321, 463, 807, 234, 823, 932, 535, 941, 201, 394, 699, 566, 184, 2, 291, 226, 993, 711, 105, 113, 853, 385, 738, 248, 117, 645, 501, 625, 721, 11, 714, 264, 198, 249, 657, 214, 782, 191, 480, 498, 863, 235, 320, 679, 364, 848, 666, 93, 560, 821, 317, 781, 799, 185, 589, 784, 465, 211, 916, 195, 885, 175, 808, 472, 662, 772, 152, 551, 802, 94, 545, 873, 731, 405, 720, 445, 740, 691, 911, 695, 996, 145, 616, 646, 934, 91, 700, 439, 397, 830, 38, 749, 289, 335, 389, 735, 265, 955, 255, 374, 686, 516, 159, 777, 434, 958, 999, 300, 569, 913, 477, 570, 582, 658, 496, 929, 294, 709, 258, 342, 819, 295, 715, 48, 567, 930, 108, 549, 209, 123, 227, 813, 313, 547, 357, 837, 683, 599, 481, 659, 614, 744, 453, 788, 69, 767, 952, 947, 574, 964, 816, 153, 71, 478, 633, 886, 304, 65, 779, 1000, 991, 361, 417, 247, 624, 194, 527, 852, 595, 354, 912, 775, 5, 488, 188, 506, 712, 269, 703, 6, 602, 540, 416, 275, 326, 872, 272, 951, 238, 432, 615, 942, 785, 780, 861, 116, 266, 404, 518, 908, 603, 82, 997, 634, 598, 702, 43, 580, 801, 587, 433, 318, 888, 806, 341, 166, 960, 846, 817, 366, 688, 406, 307, 935, 424, 834, 303, 939, 577, 189, 407, 440, 796, 334, 8, 479, 855, 844, 642, 423, 115, 675, 26, 945, 681, 254, 638, 854, 290, 74, 989, 824, 931, 427, 216, 787, 37, 47, 139, 375, 370, 769, 484, 584, 672, 871, 562, 797, 437, 426, 263, 962, 693, 229, 898, 980, 736, 902, 546, 890, 949, 623, 378, 893, 391, 355, 670, 352, 128, 969, 345, 655, 21, 181, 213, 918, 296, 251, 710, 618, 353, 88, 858, 800, 907, 470, 696, 674, 892, 103, 393, 187, 447, 649, 794, 438, 977, 31, 98, 0, 979, 877, 728, 914, 410, 727, 392, 880, 536, 4, 369, 503, 78, 245, 99, 995, 706, 343, 557, 398, 246, 288, 887, 664, 622, 522, 58, 325, 163, 499, 572, 915, 126, 156, 237, 276, 79, 494, 469, 428, 451, 279, 698, 328, 541, 77, 538, 23, 1, 504, 468, 271, 805, 129, 529, 55, 110, 514, 327, 425, 27, 386, 485, 901, 450, 894, 178, 482, 339, 899, 493, 127, 795, 182, 917, 206, 972, 786, 418, 205, 882, 826, 299, 457, 436, 384, 161, 151, 718, 954, 167, 879, 663, 261, 923, 628, 495, 875, 970, 52, 224, 220, 455, 203, 864, 16, 956, 820, 143, 448, 293, 552, 884, 464, 558, 72, 383, 164, 988, 133, 40, 331, 963, 454, 66, 756, 742, 395, 559, 845, 15, 637, 196, 822, 458, 509, 112, 627, 376, 528, 487, 734, 171, 617, 776, 257, 219, 906, 978, 329, 668, 140, 891, 337, 347, 950, 613, 650, 323, 910, 208, 866, 368, 512, 311, 190, 101, 285, 694, 283, 575, 22, 713, 732, 974, 986, 832, 332, 232, 34, 197, 62, 507, 741, 497, 204, 86, 298, 95, 1004, 411, 130, 363, 982, 430, 212, 365, 751, 125, 136, 682, 373, 75, 476, 176, 554, 420, 760, 652, 35, 138, 586, 186, 154, 553, 579, 231, 757, 920, 179, 162, 132, 847, 399, 168, 371, 957, 45, 707, 312, 330, 473, 53, 534, 253, 314, 14, 1003, 761, 919, 467, 684, 576, 336, 836, 629, 173, 215, 96, 665, 677, 42, 719, 933, 134, 377, 865, 32, 676, 815, 223, 765, 192, 803, 685, 944, 874, 360, 292, 798, 474, 250, 768, 121, 869, 539, 556, 122, 705, 84, 610, 502, 431, 87, 841, 591, 236, 600, 380, 687, 632, 372, 3, 50, 124, 500, 647, 814, 33, 60, 750, 976, 612, 324, 28, 489, 61, 743]\n", "time in secs: 0.0838766098022461\n", "no of clusters: 630\n", "time in secs: 11.910576343536377\n", "no of clusters: 316\n", "time in secs: 1.049062967300415\n", "no of clusters: 158\n", "time in secs: 0.14141535758972168\n", "no of clusters: 79\n", "time in secs: 0.019326448440551758\n", "no of clusters: 40\n" ] } ], "source": [ "Geualllabels = HierClus(Geu,5,0.01,random.sample(range(Geu.order()),630),True)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.10685069853560007" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Fmeasure(Geualllabels[3],EU_gt)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fbest = 0.12\n", "fcurr = 0\n", "while fcurr < fbest:\n", " Geualllabels = HierClus(Geu,4,0.01,random.sample(range(Geu.order()),320),False)\n", " fcurr = Fmeasure(Geualllabels[3],EU_gt)\n", " print(fcurr)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 1 }