{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Influence propagation. Threshold Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "During this lab we will consider simulation of influence propagation through network and see what can thread its spread." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import scipy as sp\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear Threshold Model " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To recall the setting:\n", "* Influence spread iteratively given some initially activated nodes (adopters)\n", "* Each node $v_i$ have an activation threshold $\\theta_i \\in [0, 1]$\n", "* If fraction of \"activated\" neighbours is greater than $\\theta_i$, node $v_i$ also become activated\n", "\n", "This information (or behaviour) spreading process is also called cascade. If after some number of iterations the whole network became activated we have a **complete cascade**." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Some initials\n", "G = nx.erdos_renyi_graph(10, 0.4)\n", "pos = nx.spring_layout(G)\n", "A = np.array(nx.adjacency_matrix(G).todense())\n", "n = A.shape[0]\n", "\n", "theta = 2.0/5\n", "\n", "\n", "idx = [0,1,2]\n", "initActive = np.zeros((n,), dtype=bool)\n", "initActive[idx] = 1" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Influence propagation simulation\n", "def InfluenceProp(A, intiActive, theta, itersNum = np.inf):\n", " deg = np.sum(A,axis=0, dtype=float)\n", " i = 1 # iteration\n", " resActive = initActive.copy() \n", " while i < itersNum:\n", " i+=1\n", "\n", " # currently inactive nodes\n", " inactiveId = np.where(resActive == 0)[0] \n", " # activated nodes\n", " idx = np.sum(A[np.ix_(resActive==1, resActive==0)], axis=0) / deg[resActive==0] > theta\n", " if np.any(idx):\n", " resActive[inactiveId[idx]] = 1\n", " else:\n", " break\n", "\n", " return resActive\n", "\n", "# Demonstration\n", "def ShowIteration(G, initActive, resultActive, pos):\n", " fig = plt.figure(figsize=(15,10))\n", " plt.subplot(1,2,1)\n", " nx.draw(G, pos=pos,\n", " nodelist=np.where(initActive)[0].tolist(),\n", " node_color = 'r')\n", " nx.draw(G, pos=pos,\n", " nodelist=np.where(1-initActive)[0].tolist(),\n", " node_color = 'b')\n", "\n", " plt.subplot(1,2,2)\n", " nx.draw(G, pos=pos,\n", " nodelist=np.where(resultActive)[0].tolist(),\n", " node_color = 'r')\n", " nx.draw(G, pos=pos,\n", " nodelist=np.where(1-resultActive)[0].tolist(),\n", " node_color = 'b')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HiIhu0qtXL5w/fx6ZmZlyR3E6/fr1w8GDB3Hu3DmoVNzjj5wbCx3VqFevXrhw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\nO2VkZEiSxo4dG+CJ/Ke8vNyVQ1N9Pp/efvttrVq1y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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Run \n", "resultActive = InfluenceProp(A, initActive, theta, itersNum = 2)\n", "\n", "# Look \n", "ShowIteration(G, initActive, resultActive, pos)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Clusters " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets call a cluster with density $p$ a set of nodes s.t. each node has at least $p$ fraction of its neighbours in the set. And it turn out that then only thing that can stop cascades are clusters, particularly:\n", "\n", "\n", "*Consider a network with a threshold of $\\theta$ a set of initialy activated nodes*\n", "1. *If the remaining network contains a cluster of density greater than $1 − \\theta$, then the set of initial adopters **will not** cause a complete cascade.*\n", "2. *Whenever a set of initial adopters does not cause a complete cascade with threshold $\\theta$, the remaining network must contain a cluster of density greater than $1 − \\theta$.*\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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/6fqvv/7ivffeIyYmBicnJ70cUzxPylfPkpKS6NG+PU9PnGBCcjIf8PJLzKOB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\ntTV9BgzQWab8Tsq3gJgwYQK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Illustrative Example\n", "\n", "G = nx.cycle_graph(4)\n", "arrG = [G]*3\n", "G = reduce(lambda g1,g2: nx.disjoint_union(g1,g2), arrG)\n", "edList = [(0,2),(4,6),(9,11)] \n", "G.add_edges_from(edList)\n", "edList = [(3,5),(4,7),(7,11)]\n", "G.add_edges_from(edList)\n", "nx.draw_spring(G)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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16tXFaDSKn5+f3FOK4BWQKyA+FktZvz3/9NQ1X0VR3NKmUSMG79xJfze3n6jT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\nkfusVlkDv7gF6SDIMA8P8TGZ5KlRo35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8+PFo1qwZsrOzC9mUnp6Oc+fOwd/fHzweD0ZG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YYMGUIrV66s7DCqHJZ8mTKLiIggV1dXEgqFtHDhQgoMDCRra+t8tbHg4GCytbUlv3btSG5iQh+b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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Randomized Option. (may not end well..)\n", "\n", "arrG = [nx.erdos_renyi_graph(10, 0.6)]* 2\n", "arrG.append(nx.erdos_renyi_graph(20, 0.6))\n", "G = reduce(lambda g1,g2: nx.disjoint_union(g1,g2), arrG)\n", "# nx.draw(G)\n", "edList = zip(np.random.randint(0,10,size=(5,)), np.random.randint(10,20,size=(5,)))\n", "G.add_edges_from(edList)\n", "edList = zip(np.random.randint(0,10,size=(5,)), np.random.randint(20,40,size=(5,)))\n", "G.add_edges_from(edList)\n", "edList = zip(np.random.randint(10,20,size=(5,)), np.random.randint(20,40,size=(5,)))\n", "G.add_edges_from(edList)\n", "pos = nx.spring_layout(G)\n", "nx.draw(G, pos=pos)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "A = np.array(nx.adjacency_matrix(G).todense())\n", "n = A.shape[0]\n", "\n", "theta = 1.0/10\n", "\n", "idx = range(0, 5)\n", "initActive = np.zeros((n,), dtype=bool)\n", "initActive[idx] = 1" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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OwMBA710yt9sNq9WK9evX5zrjzJkzaNfubiQlzcOVw9zlYpCcvBrDhj2NjRs3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\nNpU5IamD/P7Nmjfv9zp48KBycnK0bt067dy5U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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Run\n", "resultActive = InfluenceProp(A, initActive, theta)\n", "\n", "# Look\n", "ShowIteration(G, initActive, resultActive, pos)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Note on Greedy Algorithm for Threshold Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let $S$ be a target nodes (initally activated set of nodes). $f(S)$ is a number of activated nodes as propagation stops\n", "\n", "**Good news:**
\n", "We have greedy algorithm for submodular functions that gives constant factor approximation of optimal solution: $$f(S) \\geq(1 - \\frac{1}{1-e})f(S^*)$$\n", "**Bad news:**
\n", "1. Not clear how to compute $f(S)$ in threshold and cascade models\n", "2. Even if we know we need to speed-up the process" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solutions:**\n", "1. Instead of computing the exact value of $f(S)$ we can estimate it via numerous simulation of Independent Cascade process (provides the same results)\n", "2. 'Lazy' greedy algorithm uses the fact that if $A \\subseteq B$ then:\n", "$$ f(s \\cup A) - f(A) \\geq f(s \\cup B) - f(B) $$\n", "In other words: as the set increases its marginal gain can only decrease. And in fact it won't decrease drammatically, so essentially we need to keep track of only top of the list.\n", "\n", "So the idea is\n", "* Keep ordered list of marginal gains from previous iterations\n", "* Re-evaluate marginal gains only for top of elements\n", "* Resort and pick $\\arg\\max$" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }