{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Data-driven Business and Behaviour Analytics (DBBA)\n", "# Tutorial 4 - Modularity" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import random\n", "\n", "%matplotlib inline\n", "import networkx as nx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Partitions\n", "\n", "A **partition** of a graph is a separation of its nodes into disjoint groups. Consider the following graph:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.Graph()\n", "G.add_cycle([0, 1, 2, 3])\n", "G.add_cycle([4, 5, 6, 7])\n", "G.add_edge(0, 7)\n", "\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following is an example of a partition of these nodes:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "partition = [\n", " {1, 2, 3},\n", " {4, 5, 6},\n", " {0, 7},\n", "]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe that every node in the graph is in exactly one of the sets in the partition. Formally, a partition is a list of sets such that every node is in exactly one set. NetworkX can verify that our partition is valid:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.community.is_partition(G, partition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When developing community detection algorithms, we often make use of a *partition map*, which is a dictionary mapping node names to a partition index. This is useful for quickly comparing if two nodes are in the same cluster in the partition:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 1, 0: 2, 7: 2}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "partition_map = {}\n", "for idx, cluster_nodes in enumerate(partition):\n", " for node in cluster_nodes:\n", " partition_map[node] = idx\n", "\n", "partition_map" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this dictionary, the keys are the node names and two nodes will have the same value if they are in the same partition:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "partition_map[0] == partition_map[7]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize our partition by drawing the graph with nodes colored by their partition membership:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "node_colors = [partition_map[n] for n in G.nodes]\n", " \n", "nx.draw(G, node_color=node_colors, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two trivial partitions:\n", "\n", "1. The partition with one set containing every node;\n", "2. The partition with N sets, each containing a single node.\n", "\n", "A valid partition thus contains between 1 and N sets.\n", "\n", "Feel free to experiment by changing the partition above and running the subsequent cells." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Modularity\n", "\n", "At a high level, network community detection consists of finding a partition that achieves good separation between the groups of nodes. Before we get into how to find good partitions of a graph, we need an objective -- a way to measure how good the partition is. Modularity is one such objective function.\n", "\n", "The modularity of a graph partition compares the number of intra-group edges with a random baseline. Higher modularity scores correspond to a higher proportion of intra-group edges, therefore fewer inter-group edges and better separation of groups.\n", "\n", "For weighted undirected networks, as described in the text, we have\n", "\\begin{equation}\n", " Q_w=\\frac{1}{W}\\sum_C \\left(W_C-\\frac{s_C^2}{4W}\\right),\n", " \\label{eq:wmodul}\n", "\\end{equation}\n", "where \n", "* $W$ is the total weight of the links of the network,\n", "* $W_C$ the total weight of the internal links of cluster $C$, and\n", "* $s_C$ the total strength of the nodes of $C$.\n", "\n", "The total weight $W$ is half the total strength for the same reason that the number of edges $L$ is half the total degree. While this formula may look a bit complicated, it's straightforward to write code to compute the sum:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def modularity(G, partition):\n", " W = sum(G.edges[v, w].get('weight', 1) for v, w in G.edges)\n", " summation = 0\n", " for cluster_nodes in partition:\n", " s_c = sum(G.degree(n, weight='weight') for n in cluster_nodes)\n", " # Use subgraph to count only internal links\n", " C = G.subgraph(cluster_nodes)\n", " W_c = sum(C.edges[v, w].get('weight', 1) for v, w in C.edges)\n", " summation += W_c - s_c ** 2 / (4 * W)\n", " \n", " return summation / W" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.2222222222222222" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "modularity(G, partition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's compare this to a partition we would suspect to have higher modularity:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.38888888888888884" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "partition_2 = [\n", " {0, 1, 2, 3},\n", " {4, 5, 6, 7},\n", "]\n", "modularity(G, partition_2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### NetworkX function\n", "\n", "NetworkX provides a modularity function that is more efficient than ours:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.3888888888888889" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.community.quality.modularity(G, partition_2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Zachary's Karate Club" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When writing and testing community-detection algorithms, it helps to make use of benchmark networks: graphs with a known, \"natural\" community structure. Perhaps the most famous benchmark graph is Zachary's Karate Club. It contains 34 nodes, representing members of a karate club whose interactions were monitored over a period of three years by researchers. Links in this graph connect individuals interacting outside club activities, a proxy for social ties.\n", "\n", "During the course of the study, a conflict between the instructor Mr. Hi (node 0) and the president, or Officer (node 33) led to a split of the club into separate groups led by Mr. Hi and Officer. In this case we know whom each member of the group followed after the split, providing empirical community labels: those members who followed Mr. Hi are said to be one community and those following the Officer make up the other.\n", "\n", "For this graph, we assume that the post-split group composition was largely driven by the social ties: members of the same friend groups would want to be part of the same club after the split. We thus expect a good community-detection algorithm to predict the post-split group composition with high accuracy.\n", "\n", "Zachary's karate club is such a popular benchmark graph that it has its own function in NetworkX:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "K = nx.karate_club_graph()\n", "nx.draw(K, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each node in a NetworkX graph has a dictionary of *attributes* associated with it. This dictionary can hold arbitrary data about a node. We can get the attributes for a single node by giving the node name to the `nodes` object.\n", "\n", "Each node in this graph has a `'club'` attribute, indicating whether the member followed the instructor or the president after the split:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'club': 'Mr. Hi'}" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K.nodes[0]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'club': 'Officer'}" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K.node[9]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize these labels by coloring each node according to its `'club'` attribute:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "K = nx.karate_club_graph()\n", "club_color = {\n", " 'Mr. Hi': 'orange',\n", " 'Officer': 'lightblue',\n", "}\n", "node_colors = [club_color[K.node[n]['club']] for n in K.nodes]\n", "nx.draw(K, node_color=node_colors, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This separation looks good, in that there are relatively few inter-community links as opposed to intra-community links. Let's create a graph partition based on these labels and measure its modularity.\n", "\n", "We can do this by creating a dictionary of two sets, one for each value of the nodes' `'club'` attribute, then assigning the nodes to the corresponding set. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'Mr. Hi': {0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 16, 17, 19, 21},\n", " 'Officer': {9, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33}}" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "groups = {\n", " 'Mr. Hi': set(),\n", " 'Officer': set(),\n", "}\n", "\n", "for n in K.nodes:\n", " club = K.node[n]['club']\n", " groups[club].add(n)\n", " \n", "groups" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By using the dictionary's `.values()` method, we can get a list of sets that define our partition:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[{0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 16, 17, 19, 21},\n", " {9, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33}]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "empirical_partition = list(groups.values())\n", "empirical_partition" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.community.is_partition(K, empirical_partition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since our partition is indeed a valid partition, we can get the modularity of this partition:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.35823471400394263" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.community.quality.modularity(K, empirical_partition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a relatively high modularity, which is what we expect.\n", "\n", "### Comparison to a random partition\n", "\n", "For the sake of comparison, let's generate a random partition of this network and check its modularity. We would expect a modularity close to zero in this case.\n", "\n", "First we generate a sample of 17 nodes, half the total number of nodes, and assign them to one community. Our second community then includes the nodes in the graph not in the first community. We can use some set arithmetic to do this concisely:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[{0, 1, 4, 5, 7, 9, 12, 15, 16, 17, 21, 24, 26, 27, 28, 31, 32},\n", " {2, 3, 6, 8, 10, 11, 13, 14, 18, 19, 20, 22, 23, 25, 29, 30, 33}]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "random_nodes = random.sample(K.nodes, 17)\n", "random_partition = [set(random_nodes),\n", " set(K.nodes) - set(random_nodes)]\n", "random_partition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize this partition and observe that the communities are much less natural-looking, as we would expect from a random assignment." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "random_node_colors = ['orange' if n in random_nodes else 'lightblue' for n in K.nodes]\n", "nx.draw(K, node_color=random_node_colors)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And finally we can test the modularity of this partition:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.06410256410256385" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.community.quality.modularity(K, random_partition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since this is a random process the modularity won't be exactly zero, but it should be fairly close. Go ahead and repeat the process of generating a random partition and testing its modularity -- it will fluctuate around its mean value of zero." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 4. Girvan-Newman clustering\n", "\n", "Our task in this part will be to implement the Girvan-Newman clustering algorithm. Since NetworkX can do the heavy lifting for us -- computing betweenness centrality -- the code part of the task is relatively straightforward. Most of our effort here is spent interpreting and explaining intermediate results.\n", "\n", "Recall from the text the Girvan-Newman clustering algorithm:\n", "\n", "1. Create a partition sequence\n", " 1. Calculate the betweenness centrality for all links.\n", " 2. Remove the link with largest betweenness and create a partition using connected components.\n", " 3. Recalculate the betweenness centrality of the links of the resulting graph.\n", " 4. Repeat from step B until no links remain.\n", "2. Evaluate each partition in the sequence and choose the one with the highest modularity.\n", "\n", "During this process, the number of connected components in the graph will increase monotonically as clusters are broken up. Since we are removing one link at a time, the number of connected components can increase by at most one between steps in the sequence -- it's not possible for a single edge to connect more than two nodes, and thus components.\n", "\n", "We hope that the resulting partition of the graph will approximate its underlying community structure. We'll use the Karate Club graph here because we know the ground-truth community labels and can compare the result obtained from the algorithm." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.karate_club_graph()\n", "nx.draw(G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.1 Create a partition sequence\n", "### A. Calculate the betweenness centrality for all links\n", "\n", "NetworkX does the heavy lifting here. All we need to do is understand the output." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{(0, 1): 0.025252525252525245,\n", " (0, 2): 0.0777876807288572,\n", " (0, 3): 0.02049910873440285,\n", " (0, 4): 0.0522875816993464,\n", " (0, 5): 0.07813428401663694,\n", " (0, 6): 0.07813428401663695,\n", " (0, 7): 0.0228206434088787,\n", " (0, 8): 0.07423959482783014,\n", " (0, 10): 0.0522875816993464,\n", " (0, 11): 0.058823529411764705,\n", " (0, 12): 0.04652406417112298,\n", " (0, 13): 0.04237189825425121,\n", " (0, 17): 0.04012392835922248,\n", " (0, 19): 0.045936960642843,\n", " (0, 21): 0.040123928359222474,\n", " (0, 31): 0.1272599949070537,\n", " (1, 2): 0.023232323232323233,\n", " (1, 3): 0.0077243018419489,\n", " (1, 7): 0.007422969187675069,\n", " (1, 13): 0.01240556828792123,\n", " (1, 17): 0.01869960105254222,\n", " (1, 19): 0.014633732280791102,\n", " (1, 21): 0.01869960105254222,\n", " (1, 30): 0.032280791104320514,\n", " (2, 3): 0.022430184194890075,\n", " (2, 7): 0.025214328155504617,\n", " (2, 8): 0.009175791528732704,\n", " (2, 9): 0.030803836686189627,\n", " (2, 13): 0.007630931160342923,\n", " (2, 27): 0.04119203236850296,\n", " (2, 28): 0.02278244631185807,\n", " (2, 32): 0.06898678663384543,\n", " (3, 7): 0.003365588659706307,\n", " (3, 12): 0.012299465240641705,\n", " (3, 13): 0.01492233256939139,\n", " (4, 6): 0.0047534165181224,\n", " (4, 10): 0.0029708853238265,\n", " (5, 6): 0.0029708853238265003,\n", " (5, 10): 0.0047534165181224,\n", " (5, 16): 0.029411764705882353,\n", " (6, 16): 0.029411764705882353,\n", " (8, 30): 0.00980392156862745,\n", " (8, 32): 0.0304416716181422,\n", " (8, 33): 0.04043657867187279,\n", " (9, 33): 0.029615482556659026,\n", " (13, 33): 0.06782389723566191,\n", " (14, 32): 0.024083977025153497,\n", " (14, 33): 0.03473955238661121,\n", " (15, 32): 0.024083977025153497,\n", " (15, 33): 0.03473955238661121,\n", " (18, 32): 0.024083977025153497,\n", " (18, 33): 0.03473955238661121,\n", " (19, 33): 0.05938233879410351,\n", " (20, 32): 0.024083977025153497,\n", " (20, 33): 0.03473955238661121,\n", " (22, 32): 0.024083977025153493,\n", " (22, 33): 0.03473955238661121,\n", " (23, 25): 0.019776193305605066,\n", " (23, 27): 0.010536739948504653,\n", " (23, 29): 0.00665478312537136,\n", " (23, 32): 0.022341057635175278,\n", " (23, 33): 0.03266983561101209,\n", " (24, 25): 0.0042186571598336305,\n", " (24, 27): 0.018657159833630418,\n", " (24, 31): 0.040106951871657755,\n", " (25, 31): 0.04205783323430383,\n", " (26, 29): 0.004532722179781003,\n", " (26, 33): 0.0542908072319837,\n", " (27, 33): 0.030477039300568713,\n", " (28, 31): 0.0148544266191325,\n", " (28, 33): 0.024564977506153975,\n", " (29, 32): 0.023328523328523323,\n", " (29, 33): 0.029807882749059215,\n", " (30, 32): 0.01705288175876411,\n", " (30, 33): 0.02681436210847975,\n", " (31, 32): 0.04143394731630026,\n", " (31, 33): 0.05339388280564752,\n", " (32, 33): 0.008225108225108224}" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.edge_betweenness_centrality(G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting dictionary has edge tuples as the keys, and each associated value is the betweenness centrality of that edge. The algorithm to compute the edge betweenness of all edges in a graph costs about the same as calculating it for a single edge, so we'll make use of this dictionary with the computed values for every edge.\n", "\n", "Once computed for all edges, we can easily get the associated betweenness for a single edge. For example, to get the edge betweenness of the edge between nodes 0 and 1:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.025252525252525245" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "my_edge_betweenness = nx.edge_betweenness_centrality(G)\n", "my_edge_betweenness[0, 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall that dictionaries also have the `.get` method. This will be used in the next step." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.025252525252525245" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "my_edge_betweenness.get((0, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### B. Remove the link with largest betweenness...\n", "\n", "Given this dictionary of betweenness values for each edge, we can make use of Python's builtin `max` function to give us the key in this dictionary with the greatest value. Since there is a key in the dictionary for each edge in the graph, the following two expressions are equivalent, but the second one is probably more explicit as to what we're doing with this statement.\n", "\n", "I'm using the name `my_edge_betweenness` to make clear that this is a dictionary we've named and not a NetworkX function." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 31)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "max(my_edge_betweenness, key=my_edge_betweenness.get)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 31)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "max(G.edges(), key=my_edge_betweenness.get)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is then the edge we want to remove at this step in the process:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "my_edge_betweenness = nx.edge_betweenness_centrality(G)\n", "most_valuable_edge = max(G.edges(), key=my_edge_betweenness.get)\n", "G.remove_edge(*most_valuable_edge)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The \"splat\" in the last statement above `G.remove_edge(*most_valuable_edge)` performs tuple unpacking into the arguments of a function. For example, if our most valuable edge is `(0, 31)`,\n", "\n", " G.remove_edge(*most_valuable_edge)\n", "is the same as\n", " \n", " G.remove_edge(most_valuable_edge[0], most_valuable_edge[1])\n", "or\n", "\n", " G.remove_edge(0, 31)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### B. (cont'd) ...and create a partition using connected components\n", "\n", "This one is almost a gimme because the `nx.connected_components()` function gives us almost exactly what we want: " ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.connected_components(G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We just have to remember to ask for it in a list:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[{0,\n", " 1,\n", " 2,\n", " 3,\n", " 4,\n", " 5,\n", " 6,\n", " 7,\n", " 8,\n", " 9,\n", " 10,\n", " 11,\n", " 12,\n", " 13,\n", " 14,\n", " 15,\n", " 16,\n", " 17,\n", " 18,\n", " 19,\n", " 20,\n", " 21,\n", " 22,\n", " 23,\n", " 24,\n", " 25,\n", " 26,\n", " 27,\n", " 28,\n", " 29,\n", " 30,\n", " 31,\n", " 32,\n", " 33}]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(nx.connected_components(G))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember: a partition is a list of sets where every node is in exactly one of these sets. This is just what we have here, although it's a bit boring since we've only removed one edge and so there is still one connected component. If you like, you can try running the previous two cells a few times until you have more than one connected component so you can see what that looks like.\n", "\n", "Note that this feature whereby the connected components correspond exactly to our putative community labels is particular to the Girvan-Newman algorithm: other clustering algorithms may use different ways of generating their partitions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### C. Recalculate the betweenness centrality of the links of the resulting graph.\n", "### D. Repeat from step B until no links remain.\n", "\n", "This implies that we need a loop to repeat this process $L$ times, once for each edge, and that we should keep track of the partitions generated. Straightforward stuff. We'll start with a fresh Karate Club graph since we removed some edges above:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "G = nx.karate_club_graph()\n", "partition_sequence = []\n", "for _ in range(G.number_of_edges()):\n", " my_edge_betweenness = nx.edge_betweenness_centrality(G)\n", " most_valuable_edge = max(G.edges(), key=my_edge_betweenness.get)\n", " G.remove_edge(*most_valuable_edge)\n", " my_partition = list(nx.connected_components(G))\n", " partition_sequence.append(my_partition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the idiomatic construction of this `for` loop. Using `_` as the name for the loop variable tells the reader that we don't expect to do anything with the loop variable -- we just want to perform a task a specific number of times. One might be tempted to use a `while` loop here, but that way lie dragons: a mistake in a `while` loop can lead to infinite loops which are a headache.\n", "\n", "If we've done this right, we should have a partition for each step of the process, *i.e.* one for each edge in the graph:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(78, 78)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(partition_sequence), nx.karate_club_graph().number_of_edges()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we started with a connected graph, removing one edge probably doesn't disconnect the graph, so our first partition probably only has one community:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(partition_sequence[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...and the last partition should also be trivial, with each node in its own community:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(34, 34)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(partition_sequence[-1]), nx.karate_club_graph().number_of_nodes()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.2 Evaluate the modularity of each partition in the sequence\n", "\n", "We now have a sequence of partitions and a function to calculate the modularity of a partition. This is a great time to use a list comprehension!" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.3599605522682446,\n", " 0.3599605522682446,\n", " 0.3599605522682446,\n", " 0.348783694937541,\n", " 0.348783694937541,\n", " 0.348783694937541,\n", " 0.348783694937541,\n", " 0.3632478632478632,\n", " 0.3632478632478632,\n", " 0.3632478632478632,\n", " 0.3632478632478632,\n", " 0.3632478632478632,\n", " 0.3632478632478632,\n", " 0.4012984878369493,\n", " 0.3925049309664694,\n", " 0.3925049309664694,\n", " 0.3762327416173569,\n", " 0.3762327416173569,\n", " 0.35831689677843515,\n", " 0.35831689677843515,\n", " 0.34171597633136086,\n", " 0.34171597633136086,\n", " 0.3247863247863247,\n", " 0.3247863247863247,\n", " 0.3159105851413542,\n", " 0.3159105851413542,\n", " 0.2986522024983562,\n", " 0.2986522024983562,\n", " 0.28040762656147256,\n", " 0.28040762656147256,\n", " 0.26282051282051266,\n", " 0.26282051282051266,\n", " 0.24753451676528584,\n", " 0.24753451676528584,\n", " 0.22682445759368833,\n", " 0.22682445759368833,\n", " 0.20890861275476655,\n", " 0.20890861275476655,\n", " 0.1898422090729783,\n", " 0.18129520052596976,\n", " 0.18129520052596976,\n", " 0.18129520052596976,\n", " 0.1600920447074293,\n", " 0.1600920447074293,\n", " 0.1469428007889546,\n", " 0.1469428007889546,\n", " 0.1469428007889546,\n", " 0.12031558185404337,\n", " 0.12031558185404337,\n", " 0.12031558185404337,\n", " 0.1081525312294543,\n", " 0.1081525312294543,\n", " 0.09064760026298488,\n", " 0.08029257067718606,\n", " 0.06993754109138725,\n", " 0.057856673241288625,\n", " 0.057856673241288625,\n", " 0.03418803418803419,\n", " 0.0220249835634451,\n", " 0.0220249835634451,\n", " 0.0220249835634451,\n", " -0.002876397107166334,\n", " -0.002876397107166334,\n", " -0.026298487836949366,\n", " -0.03763971071663378,\n", " -0.03763971071663378,\n", " -0.053747534516765276,\n", " -0.04980276134122286]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G = nx.karate_club_graph()\n", "modularity_sequence = [modularity(G, p) for p in partition_sequence]\n", "modularity_sequence" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This sequence is then the modularity of the partition at each step in the algorithm. The first several entries in this sequence are effectively zero while there is only one community/component, then it jumps up once there is more than one community. We can use pyplot to visualize this relationship:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Algorithm step')" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.plot(modularity_sequence)\n", "plt.ylabel('Modularity')\n", "plt.xlabel('Algorithm step')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get the partition with highest modularity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visually, we see a peak in the modularity sequence. This is the partition that maximizes modularity, and thus the output of the algorithm. We can use the `max` function to get the partition with highest modularity. Ideally we want to write the following:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "tags": [ "raises-exception" ] }, "outputs": [ { "ename": "TypeError", "evalue": "modularity() missing 1 required positional argument: 'communities'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mbest_partition\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpartition_sequence\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkey\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcommunity\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mquality\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmodularity\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mTypeError\u001b[0m: modularity() missing 1 required positional argument: 'communities'" ] } ], "source": [ "best_partition = max(partition_sequence, key=nx.community.quality.modularity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...but we receive an error. Recall that a key function must take exactly one argument, the item in the sequence being evaluated, but the modularity function takes two arguments: the graph and the partition. We can fix this by writing a single-argument function to use as the key:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "def my_modularity(partition):\n", " return nx.community.quality.modularity(G, partition)\n", "best_partition = max(partition_sequence, key=my_modularity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Advanced Pythonauts will see a differet solution to this using the `zip` function to align the previously-generated partition & modularity sequences, but this solution is more explicit.\n", "\n", "So after all that work, what is the best partition?" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[{0, 1, 3, 7, 11, 12, 13, 17, 19, 21},\n", " {2, 24, 25, 27, 28, 31},\n", " {4, 5, 6, 10, 16},\n", " {8, 14, 15, 18, 20, 22, 23, 26, 29, 30, 32, 33},\n", " {9}]" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_partition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interesting! The partition of the karate club graph with highest modularity actually has five components! Let's visualize them, using our code for partition maps we wrote back at the beginning of this tutorial:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "def create_partition_map(partition):\n", " partition_map = {}\n", " for idx, cluster_nodes in enumerate(partition):\n", " for node in cluster_nodes:\n", " partition_map[node] = idx\n", " return partition_map" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "best_partition_map = create_partition_map(best_partition)\n", "\n", "node_colors = [best_partition_map[n] for n in G.nodes()]\n", "nx.draw(G, with_labels=True, node_color=node_colors)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exactly how good is this five-community clustering?" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.40129848783694877" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.community.quality.modularity(G, best_partition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's higher than the \"ground truth\" communities we evaluated in section 3, which is a good sign, but for the specific problem of trying to predict the post-split community membership, a clustering into five groups is useless to us.\n", "\n", "### Get the best partition with a given number of communities\n", "\n", "One of the most useful parts of the Girvan-Newman algorithm is that it is also useful when we have a specific number of clusters we want. In this case, we know the karate club split into two groups, so let's get the partition in the sequence with two components:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[{0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21},\n", " {2, 8, 9, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33}]" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for partition in partition_sequence:\n", " if len(partition) == 2:\n", " two_cluster_partition = partition\n", " break\n", "\n", "two_cluster_partition" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "two_cluster_partition_map = create_partition_map(two_cluster_partition)\n", "\n", "node_colors = [two_cluster_partition_map[n] for n in G.nodes()]\n", "nx.draw(G, with_labels=True, node_color=node_colors)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How good is this partition? We can get its modularity:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.35996055226824225" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.community.quality.modularity(G, two_cluster_partition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pretty good -- comparable to the ground truth community labels. Let's compare these side-by-side:" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Actual communities')" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "pos = nx.layout.spring_layout(G)\n", "fig = plt.figure(figsize=(15, 6))\n", "\n", "plt.subplot(1, 2, 1)\n", "two_cluster_partition_map = create_partition_map(two_cluster_partition)\n", "node_colors = [two_cluster_partition_map[n] for n in G.nodes()]\n", "nx.draw(G, with_labels=True, node_color=node_colors, pos=pos)\n", "plt.title('Predicted communities')\n", "\n", "plt.subplot(1, 2, 2)\n", "node_colors = [G.nodes[n]['club'] == 'Officer' for n in G.nodes()]\n", "nx.draw(G, with_labels=True, node_color=node_colors, pos=pos)\n", "plt.title('Actual communities')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the predicted community labels are pretty accurate, only differing on a couple nodes that, visually, seem like they could plausibly beling to either group. Zachary's original paper even explains the practical considerations of one of these mispredicted nodes: student 8 was very near receiving his black belt from Mr. Hi and thus did not want to leave the group even though several of his friends did." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'club': 'Mr. Hi'}" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.nodes[8]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Aside\n", "\n", "The astute reader might note that there may be several two-cluster partitions in the partition sequence we generated. We assert the following to be true:\n", "\n", "1. For every integer 1 to N, the number of nodes, there is a partition in the sequence with that number of clusters\n", "2. Every partition in the sequence with the same number of clusters is the same\n", "\n", "Proving these is left as an exercise to the reader, but as a consequence of these being true, optimized implementations of Girvan-Newman clustering will only store one partition for each number of clusters. This is how the implementation in NetworkX works, only providing one partition for each number of communities greater than one." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## NetworkX Function\n", "\n", "`nx.community.girvan_newman(G)` will generate a sequence containing one partition of each size greater than one. Here we can see the first several are the same as those we generated:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[({0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21},\n", " {2, 8, 9, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33}),\n", " ({0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21},\n", " {2, 8, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33},\n", " {9}),\n", " ({0, 1, 3, 7, 11, 12, 13, 17, 19, 21},\n", " {2, 8, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33},\n", " {4, 5, 6, 10, 16},\n", " {9}),\n", " ({0, 1, 3, 7, 11, 12, 13, 17, 19, 21},\n", " {2, 24, 25, 27, 28, 31},\n", " {4, 5, 6, 10, 16},\n", " {8, 14, 15, 18, 20, 22, 23, 26, 29, 30, 32, 33},\n", " {9}),\n", " ({0, 1, 3, 7, 12, 13, 17, 19, 21},\n", " {2, 24, 25, 27, 28, 31},\n", " {4, 5, 6, 10, 16},\n", " {8, 14, 15, 18, 20, 22, 23, 26, 29, 30, 32, 33},\n", " {9},\n", " {11})]" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(nx.community.girvan_newman(G))[:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercise 1\n", "Find communities in the interbank network available from the website by using both Girvan-Newman and Louvain. Discuss the results." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercise 2\n", "Use the stock price correlation dataset to compute 1) the minimum spanning tree using distances 2) the maximum spanning tree using correlations. Use an algorithm of your choice to find communities for both, and discuss the differences." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercise 3\n", "Find communities on the strongly connected component of the bitcoin transaction network. Is there any evidence of competing Cryptocurrency exchange platforms?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "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": "3.6.13" } }, "nbformat": 4, "nbformat_minor": 4 }