{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Absorbing Random Walk Centrality\n", "## A short introduction by example\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **absorbing-centrality** module contains an implementation for a *greedy algorithm* to compute the k-central nodes in a graph according to the Absorbing Random-Walk (ARW) centrality measure. The measure and the greedy algorithm are discussed in our [paper](http://arxiv.org/abs/1509.02533) that appeared in [ICDM 2015](http://icdm2015.stonybrook.edu). Here we provide a short description of the measure and the associated problem, taken from its abstract.\n", "\n", "\"Given a graph $G = (V,E)$ and a set of query nodes $Q\\subseteq V$, we aim\n", "to identify the $k$ most central nodes in $G$ with respect to $Q$.\n", "Specifically, we consider central nodes to be absorbing for\n", "random walks that start at the query nodes $Q$. The goal is to \n", "find the set of $k$ central nodes that minimizes the expected \n", "length of a random walk until absorption.\"\n", " \n", "This Python 3 notebook demonstrates usage of the greedy algorithm with a simple example.\n", "\n", "**Note**: Run the **Setup** cells at the bottom of the notebook before other code cells." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dataset\n", "\n", "For this example, we'll be using [Zachary's Karate Club](http://networkx.readthedocs.org/en/networkx-1.10/reference/generated/networkx.generators.social.karate_club_graph.html#networkx.generators.social.karate_club_graph) as our dataset.\n", "Let's load and draw its graph." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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tnkAsFkNLSwurV6+GlZUV9u/fj/Pnz/eYlWdbW1v55ic3btyAtrY2Ro8erZFa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\nEICNjU2Tk8SffvqJdevWYWhoyOj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = nx.karate_club_graph() # load the graph\n", "node_positions = nx.spring_layout(graph) # fix the node positions\n", "make_graph_plot(graph, node_positions, node_size = 0,\n", " node_color = \"white\", with_labels = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimizing Absorbing Random-Walk (ARW) Centrality" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's find the most central nodes according to ARW centrality. The problem takes the following parameters as input:\n", "\n", "* Query nodes **Q**: random walks in our model start from nodes in *Q*. In our examples here, we also assume that a random walk might start from each node in *Q* with equal probability.\n", "* Candidate nodes **D**: the set of nodes from which we select central nodes.\n", "* Restart parameter **α**: at each step, a random walk *'restarts'* - i.e. moves to one of the query nodes in the next step - with probability *(1-α)*, otherwise continues to an adjacent node.\n", "* The number of central nodes **k**: the number of *candidate* nodes that we wish to identify as central.\n", "\n", "For our example, we have the following configuration:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Q = {5, 12, 14, 15, 26} # a small number of query nodes\n", "D = graph.nodes() # all nodes are candidate nodes\n", "alpha = 0.85 # the random walk restarts with\n", " # probability 1 - α = 0.15 in each step\n", "k = 3 # number of central nodes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We employ a **greedy** algorithm, implemented as **`absorbing_centrality.algorithms.greedy_team`**, to select the `k = 3` most central nodes. The algorithm performs *k* steps, and at each step select one additional node that improves ARW centrality the most." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "result = arw.algorithms.greedy_team(graph, k, query = Q, candidates = D,\n", " with_restarts = True, alpha = alpha)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The algorithm returns a tuple with the following two elements:\n", "* A list of **centrality scores**, one for each step of the algorithm.\n", "* A list of **node-sets**, one for each step of the algorithm." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "centrality_scores, node_sets = result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *i*-th element of `centrality_scores` is the centrality score obtained for the *i*-th set of central nodes built by *greedy*. Moreover, the *i*-th node-set is always a subset of the *(i+1)*-th node-set." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Greedy returned 3 centrality scores and 3 node-sets for k = 3.\n", "Centrality score 6.09 for nodes [33].\n", "Centrality score 2.91 for nodes [33, 0].\n", "Centrality score 1.95 for nodes [33, 0, 32].\n" ] } ], "source": [ "print(\"Greedy returned {0} centrality scores and {1} node-sets for k = {2}.\"\\\n", " .format(len(centrality_scores), len(node_sets), k))\n", "for i in range(k):\n", " print(\"Centrality score {0:.2f} for nodes {1}.\"\n", " .format(centrality_scores[i][0], node_sets[i]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that *ARW centrality **decreases** as more nodes are selected by greedy*. That behavior is expected because, with more nodes acting as **absorbing**, random walks are more likely to be absorbed earlier, i.e. have decreased absorption time -- thus leading to decreased ARW centrality, by definition." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The $k$ nodes selected by *greedy* are returned as the last node-set and are associated with the last returned centrality score." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "central_nodes = node_sets[k-1]\n", "solution_centrality = centrality_scores[k-1][0]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Greedy selected nodes [33, 0, 32] as central, with centrality score 1.95.\n" ] } ], "source": [ "print(\"Greedy selected nodes {0} as central, with centrality score {1:.2f}.\"\\\n", " .format(central_nodes, solution_centrality))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot below shows query nodes **Q** in **red** color and **central nodes** returned by *greedy* in **blue**." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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c0dh9BUFAQkICWlpasHr16o9W4vuiTGgGBtaiIQgCsrKysHfvXtjZ2WHbtm2w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6WlpaAoCmKxGBcuXMD169chk8noDlOvOjo6cOPGDcTFxWnlTg8x/5CkmZiSWCwGRVGknplGSqUS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\ntbU4duwYFi1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "query_node_params = NodeParams(Q, \"red\", 150)\n", "central_node_params = NodeParams(central_nodes, \"blue\", 200)\n", "node_color, node_size = set_node_color_and_size(graph,\n", " query_node_params, central_node_params)\n", "make_graph_plot(graph, node_positions, node_size, node_color, with_labels = False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Is *greedy* optimal?\n", "\n", "The greedy algorithm discussed above is easy to implement but generally does **not** return optimal solutions to the ARW problem. This is most easily demonstrated for the case where\n", "* all query nodes are also candidate nodes, i.e., $Q \\subseteq D$, and\n", "* we seek the *k* most central nodes, with $k = |Q| > 1$. \n", "\n", "In that case, the set of **query nodes** is an **optimal** solution with centrality equal to **zero (0)**; how close does *greedy* come to that?\n", "\n", "Let us consider the same setting as in the previous example, but this time ask *greedy* for the most central *k = 5* nodes." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "k = 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All other parameters of the problem remain the same and we invoke *greedy* as before." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Greedy returned nodes [33, 0, 32, 5, 12] as central, with centrality score 0.72.\n" ] } ], "source": [ "greedy_result = arw.algorithms.greedy_team(graph, k, query = Q, candidates = D,\n", " with_restarts = True, alpha = alpha)\n", "greedy_centrality_scores, greedy_node_sets = greedy_result\n", "greedy_central_nodes = greedy_node_sets[k-1] # the k central nodes found by greedy...\n", "greedy_centrality = greedy_centrality_scores[k-1][0] # ... and their centrality\n", "\n", "print(\"Greedy returned nodes {0} as central, with centrality score {1:.2f}.\"\\\n", " .format(greedy_central_nodes, greedy_centrality))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us plot *greedy*'s solution. The plot below shows in **blue** those nodes returned as **central** by *greedy* and in **red** the **query nodes** that were **not** selected as central." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dsWXLFnzyySdISEjAkSNHBmXW8JMnT/Dy5UvMmDEDwO8PLnZufnL58uUBu68g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\nLS0AYHODbpK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "query_node_params = NodeParams(Q, \"red\", 150)\n", "central_node_params = NodeParams(greedy_central_nodes, \"blue\", 200)\n", "node_color, node_size = set_node_color_and_size(graph,\n", " query_node_params, central_node_params)\n", "make_graph_plot(graph, node_positions, node_size, node_color, with_labels = False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We notice that the $k = 5$ nodes selected by *greedy* are not the same as the set of $k = 5$ query nodes. It is easy to see that the set of $k = 5$ query nodes would be the optimal solution in this case, with centrality **zero (0)**, as all random walks starting from them would be absorbed immediately." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal centrality 0.00 achieved for query nodes {26, 12, 5, 14, 15}.\n", "Greedy centrality 0.72 achieved for nodes {0, 33, 32, 12, 5}.\n" ] } ], "source": [ "optimal_centrality = arw.absorbing_centrality(graph, Q, query=Q,\n", " with_restarts=True, alpha=0.85)\n", "\n", "print(\"Optimal centrality {0:.2f} achieved for query nodes {1}.\"\\\n", " .format(optimal_centrality, Q))\n", "print(\"Greedy centrality {0:.2f} achieved for nodes {1}.\"\\\n", " .format(greedy_centrality, set(greedy_central_nodes)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How good is *greedy*?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Greedy* misses the optimal solution, but it does not perform arbitrarily badly.\n", "Firstly, it is easy to see that *greedy* **does find** the optimal solution for $k = 1$.\n", "Moreover, we have the following guarantee for $k > 1$:\n", "\n", "*Let $m$ be the optimal ARW centrality for $k = 1$.\n", "Moreover, let $c_{greedy}$ be the\n", "centrality of the solution returned by *greedy* for a\n", "given $k > 1$ and $c_{opt}$ the optimal centrality for\n", "the same $k > 1$. Then, we have\n", "$$(m - c_{greedy}) \\geq (1 - \\frac{1}{e}) (m - c_{opt}).$$\n", "*" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "m = greedy_centrality_scores[0][0]\n", "c_greedy = greedy_centrality_scores[k - 1][0] # for k = 5\n", "c_opt = optimal_centrality # for k = 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To demonstrate visually what the aforementioned guarantee means, let us consider the plot below. The plot shows with blue dots the ARW centrality of the node-sets built by *greedy* along its $k$ steps. In addition, the plot shows with grey horizontal lines the levels of $m$, $c_{greedy}$, and $c_{opt}$." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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U0qPAo5tVlSRJkgpWc+5B3YHMXKj1ioi9IqJyy0uSJElSIWtOQB0DDGpk/8Bs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\nIaW0OPt1KfB7YP/cVrR1GVAltaqICOA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "make_approximation_plot(m, c_greedy, c_opt, greedy_centrality_scores)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The length of the **red** segment in the plot is equal to $(m - c_{greedy})$. Intuitively, it the **improvement** in ARW centrality achieved by *greedy* as it builds node-sets of size $1$ to $k$.\n", "\n", "Similarly, the length of the **green** segment is equal to $(m - c_{opt})$. Intuitively, it is the **improvement** in the *optimal* ARW centrality between node-sets of size $1$ to $k$.\n", "\n", "The aforementioned guarantee means that the length of the **red** segment (improvement by *greedy*) will be at at least $(1 - \\frac{1}{e}) \\approx 0.63$ times the length of the **green** segment (optimal improvement). We can confirm numerically that it holds for this example." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Does the inequality hold? -Yes\n" ] } ], "source": [ "question = lambda x, y: \"Yes\" if x >= (1 - 1/np.e) * y else \"No\"\n", "answer = question(m - c_greedy, m - c_opt)\n", "print(\"Does the inequality hold? -{0}\".format(answer))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Run these cells before other code cells." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import sys\n", "import networkx as nx\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import collections" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import absorbing_centrality as arw" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "NodeParams = collections.namedtuple(\"NodeParams\", ['nodes', 'color', 'size'])\n", "\n", "def set_node_color_and_size(graph, query_node_params, \n", " candidate_node_params,\n", " default_color = \"grey\", \n", " default_node_size = 30):\n", " \"\"\"\n", " Return a list of colors for the graph nodes.\n", " \"\"\"\n", "\n", " inverse_node_index = dict([(node, pos) for pos, node in enumerate(graph.nodes())])\n", " \n", " # initialize all nodes with default color\n", " node_color = len(graph) * [default_color]\n", " node_size = len(graph) * [default_node_size]\n", " \n", " for node_set_params in [query_node_params, candidate_node_params]:\n", " if node_set_params:\n", " for node in node_set_params.nodes:\n", " pos = inverse_node_index[node]\n", " node_color[pos] = node_set_params.color\n", " node_size[pos] = node_set_params.size\n", " \n", " return node_color, node_size\n", "\n", "def make_graph_plot(graph, node_positions, node_size,\n", " node_color, with_labels):\n", " \"\"\"\n", " Plot a networkx graph with custom node positions,\n", " sizes, color, and the option to have labels or not.\n", " \"\"\"\n", " fig, ax = plt.subplots(1, 1, figsize = (12, 12))\n", " ax.axis('off')\n", " nx.draw(graph, ax = ax, with_labels = with_labels, font_size = 20,\n", " node_size = node_size, node_color = node_color,\n", " edge_color = \"grey\", pos = node_positions)\n", " \n", "def make_approximation_plot(m, c_greedy, c_opt, greedy_centrality_scores):\n", " \"\"\"\n", " Make a plot to demonstrate the approximation guarantee\n", " for the greedy algorithm.\n", " \"\"\"\n", " \n", " fig, ax = plt.subplots(1, 1, figsize = (10, 6))\n", "\n", " x = range(1, 1+k)\n", " y = [s[0] for s in greedy_centrality_scores]\n", " ax.set(xlim = (0.5, k+0.5), ylim = (-0.5, max(y) * 1.2))\n", " ax.set_xlabel(\"k\", fontsize = 18)\n", " ax.set_ylabel(\"ARW centrality\", fontsize = 18)\n", " ax.set(yticks = [m, c_greedy, c_opt],\n", " yticklabels = [\"m = {0:.2f}\".format(m),\n", " \"c_greedy = {0:.2f}\".format(c_greedy),\n", " \"c_opt = {0:.2f}\".format(c_opt)])\n", "\n", " _tmp = ax.plot((0, k+1), (y[0], y[0]), color = \"grey\", lw = 3)\n", " _tmp = ax.plot((0, k+1), (y[-1], y[-1]), color = \"grey\", lw = 3)\n", " _tmp = ax.plot((0, k+1), (0, 0), color = \"grey\", lw = 3)\n", "\n", " _tmp = ax.plot((1.25, 1.25), (y[0], y[-1]), lw = 5, color = \"red\",\n", " alpha = 0.7, label = \"m - c_greedy\")\n", " _tmp = ax.plot((1.75, 1.75), (y[0], 0), lw = 5, color = \"green\", label = \"m - c_opt\")\n", "\n", " _tmp = ax.scatter(x, y, s = 150, lw =2, label = \"greedy centrality\")\n", "\n", " _tmp = ax.legend(loc = 1)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }