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pagerank
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//"use strict";
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// pagerank.js 0.0.1
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//Use a random surfer algorithm to determine the relative
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//rank of nodes. The importance of each node is determined
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//by the number of incoming links as well as the importance
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//of those incoming links.
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// Expose
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// ----------
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//Expose our library to be called externally
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module.exports = function (nodeMatrix, linkProb, tolerance, callback, debug) {
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if (!nodeMatrix || !linkProb || !tolerance || !callback) {
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throw new Error("Provide 4 arguments: "+
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"nodeMatrix, link probability, tolerance, callback");
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}
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//If debug is unset set it to false
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if (!debug) {
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debug=false;
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}
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return new Pagerank(nodeMatrix, linkProb, tolerance, callback, debug);
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};
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// Initialize
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// ----------
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function Pagerank(nodeMatrix, linkProb, tolerance, callback, debug) {
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//**OutgoingNodes:** represents an array of nodes. Each node in this
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//array contains an array of nodes to which the corresponding node has
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//outgoing links.
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this.outgoingNodes = nodeMatrix;
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//console.log(this.outgoingNodes);
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//**LinkProb:** a value ??
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this.linkProb = linkProb;
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//**Tolerance:** the point at which a solution is deemed optimal.
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//Higher values are more accurate, lower values are faster to computer.
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this.tolerance = tolerance;
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this.callback = callback;
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//Number of outgoing nodes
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this.pageCount = Object.keys(this.outgoingNodes).length;
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//console.log(this.pageCount);
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//**Coeff:** coefficient for the likelihood that a page will be visited.
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this.coeff = (1-linkProb)/this.pageCount;
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this.probabilityNodes = !(nodeMatrix instanceof Array) ? {} : [];
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this.incomingNodes = !(nodeMatrix instanceof Array) ? {} : [];
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//console.log(this.incomingNodes);
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this.debug=debug;
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this.startRanking();
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}
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//Start ranking
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// ----------
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Pagerank.prototype.startRanking = function () {
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//we initialize all of our probabilities
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var initialProbability = 1/this.pageCount,
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outgoingNodes = this.outgoingNodes, i, a, index;
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//rearray the graph and generate initial probability
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for (i in outgoingNodes) {
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this.probabilityNodes[i]=initialProbability;
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for (a in outgoingNodes[i]) {
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index = outgoingNodes[i][a];
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if (!this.incomingNodes[index]) {
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this.incomingNodes[index]=[];
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}
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this.incomingNodes[index].push(i);
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// console.log(this.incomingNodes);
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}
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}
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//if debug is set, print each iteration
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if (this.debug) this.reportDebug(1)
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this.iterate(1);
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};
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//Log iteration to console
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// ----------
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Pagerank.prototype.reportDebug = function (count) {
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//console.log("____ITERATION "+count+"____");
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//console.log("Pages: " + Object.keys(this.outgoingNodes).length);
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//console.log("outgoing %j", this.outgoingNodes);
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//console.log("incoming %j",this.incomingNodes);
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//console.log("probability %j",this.probabilityNodes);
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};
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//Calculate new weights
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// ----------
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Pagerank.prototype.iterate = function(count) {
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var result = [];
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var resultHash={};
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var prob, ct, b, a, sum, res, max, min;
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//For each node, we look at the incoming edges and
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//the weight of the node connected via each edge.
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//This weight is divided by the total number of
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//outgoing edges from each weighted node and summed to
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//determine the new weight of the original node.
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for (b in this.probabilityNodes) {
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sum = 0;
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if( this.incomingNodes[b] ) {
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for ( a=0; a<this.incomingNodes[b].length; a++) {
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prob = this.probabilityNodes[ this.incomingNodes[b][a] ];
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ct = this.outgoingNodes[ this.incomingNodes[b][a] ].length;
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sum += (prob/ct) ;
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}
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}
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//determine if the new probability is within tolerance.
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res = this.coeff+this.linkProb*sum;
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max = this.probabilityNodes[b]+this.tolerance;
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min = this.probabilityNodes[b]-this.tolerance;
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//if the result has changed push that result
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if (min <= res && res<= max) {
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resultHash[b]=res;
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result.push(res);
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}
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//update the probability for node *b*
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this.probabilityNodes[b]=res;
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//console.log(this.probabilityNodes[b]);
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//console.log(res);
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}
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//When we have all results (no weights are changing) we return via callback
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if (result.length == this.pageCount) {
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if( !(this.outgoingNodes instanceof Array)) {
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return this.callback(null, resultHash);
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}
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return this.callback(null, result);
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}
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//if debug is set, print each iteration
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if (this.debug) {
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this.reportDebug(count);
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}
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++count;
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return this.iterate(count);
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};
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