Estimating influence of subjects based on a subject graph
First Claim
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1. A computer-implemented method, comprising:
- receiving a subject graph, wherein the subject graph includes two or more subject nodes, and wherein each subject node corresponds to a subject; and
determining an objective influence measure based on the subject graph for each first subject node of the subject graph, wherein the determination is based at least on part on a function of inward scores and outward scores, wherein inward scores are computed from one or more paths leading to the first subject of a length of at least one, and wherein outward scores are computed from one or more paths leading from the first subject of a length of at least one, wherein the computation of objective influence measure for the first subject node performed using the inward scores and the outward scores is a minimum-spend eigenvector centrality of the first subject node, wherein the minimum-spend eigenvector centrality is determined by an iterative computation of eigenvector centrality.
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Abstract
Estimating influence includes receiving a subject graph, in which the subject graph includes two or more subject nodes, in which each subject node corresponds to a subject; and determining an objective influence measure for each first subject node of the subject graph, in which the determination is based at least on part on a function of inward scores and outward scores, in which inward scores are computed from one or more paths leading to the first subject of a length of at least one, and outward scores are computed from one or more paths leading from the first subject of a length of at least one.
33 Citations
24 Claims
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1. A computer-implemented method, comprising:
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receiving a subject graph, wherein the subject graph includes two or more subject nodes, and wherein each subject node corresponds to a subject; and determining an objective influence measure based on the subject graph for each first subject node of the subject graph, wherein the determination is based at least on part on a function of inward scores and outward scores, wherein inward scores are computed from one or more paths leading to the first subject of a length of at least one, and wherein outward scores are computed from one or more paths leading from the first subject of a length of at least one, wherein the computation of objective influence measure for the first subject node performed using the inward scores and the outward scores is a minimum-spend eigenvector centrality of the first subject node, wherein the minimum-spend eigenvector centrality is determined by an iterative computation of eigenvector centrality. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18)
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19. A computer-implemented method, comprising:
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receiving a subject graph, wherein the subject graph includes two or more subject nodes, and wherein each subject node corresponds to a subject; and determining an objective influence measure based on the subject graph for each first subject node of the subject graph, wherein the determination is based at least on part on a function of inward scores and outward scores, wherein inward scores are computed from one or more paths leading to the first subject of a length of at least one, and wherein outward scores are computed from one or more paths leading from the first subject of a length of at least one, wherein the computation of objective influence measure for the first subject node performed using the inward scores and the outward scores is a minimum-spend eigenvector centrality of the first subject node, wherein the minimum-spend eigenvector centrality is determined by an iterative computation of eigenvector centrality, wherein at each iteration for each node a minimum outdegree is assumed if the actual outdegree falls below the minimum outdegree, such minimum outdegree being computed as a non-linear function of the minimum spend eigenvector centrality of the first subject node from the previous iteration.
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20. A computer-implemented method, comprising:
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receiving a subject graph, wherein the subject graph includes two or more subject nodes, and wherein each subject node corresponds to a subject; and determining an objective influence measure based on the subject graph for each first subject node of the subject graph, wherein the determination is based at least on part on a function of inward scores and outward scores, wherein inward scores are computed from one or more paths leading to the first subject of a length of at least one, and wherein outward scores are computed from one or more paths leading from the first subject of a length of at least one, wherein the computation of the objective influence measure for the first subject node performed using the inward scores and the outward scores is a minimum-spend eigenvector centrality of the first subject node, wherein the minimum-spend eigenvector centrality is determined by an iterative computation of eigenvector centrality, and wherein at each iteration for each node a minimum outdegree is assumed if the actual outdegree falls below the minimum outdegree, such minimum outdegree being computed as a generated non-linear function of the minimum spend eigenvector centrality of the first subject node from the previous iteration and the generated non-linear function is generated from the distribution of the actual indegrees and outdegrees of a plurality of nodes.
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21. A computer-implemented method, comprising:
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receiving a subject graph, wherein the subject graph includes two or more subject nodes, and wherein each subject node corresponds to a subject; and determining an objective influence measure based on the subject graph for each first subject node of the subject graph, wherein the determination is based at least on part on a function of inward scores and outward scores, wherein inward scores are computed from one or more paths leading to the first subject of a length of at least one, and wherein outward scores are computed from one or more paths leading from the first subject of a length of at least one, and computing a citation-weighted minimum spend eigenvector centrality or a citation-weighted ordinary eigenvector centrality as a function of the minimum-spend eigenvector centrality or ordinary eigenvector centrality, respectively, and the number of citations made by the first subject node, wherein the number of citations made by the first subject node is determined based on a number of outgoing links from the first subject node to each of the object nodes.
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22. A computer-implemented system comprising:
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a processor configured to; receive a subject graph, wherein the subject graph includes two or more subject nodes, wherein each subject node corresponds to a subject, and wherein the subject graph is a directed graph, or if the subject graph is an undirected graph, then each undirected edge is interpreted as two directed edges in opposite directions; and determine an objective influence measure based on the subject graph for each first subject node of the subject graph, wherein the determination is based at least on part on a function of inward scores and outward scores, wherein inward scores are based on a count of one or more paths leading to the first subject of a length of at least one, and wherein outward scores are based on a count of one or more paths leading from the first subject of a length of at least one, wherein the computation of objective influence measure for the first subject node performed using the inward scores and the outward scores is a minimum-spend eigenvector centrality of the first subject node, wherein the minimum-spend eigenvector centrality is determined by an iterative computation of eigenvector centrality; and a memory coupled to the processor and configured to provide the processor with instructions. - View Dependent Claims (23)
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24. A computer program product, the computer program product being embodied in a computer readable storage medium and comprising computer instructions for:
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receiving a subject graph, wherein the subject graph includes two or more subject nodes, wherein each subject node corresponds to a subject, and wherein the subject graph is a directed graph, or if the subject graph is an undirected graph, then each undirected edge is interpreted as two directed edges in opposite directions; and determining an objective influence measure based on the subject graph for each first subject node of the subject graph, wherein the determination is based at least on part on a function of inward scores and outward scores, wherein inward scores are based on a count of one or more paths leading to the first subject of a length of at least one, wherein outward scores are based on a count of one or more paths leading from the first subject of a length of at least one, wherein a path is a sequence of contiguous edges with a length equal to its number of edges, wherein at least one of the inward paths or outward paths is of length greater than one, wherein the inward scores are based on the count and weights of one or more paths leading to the first subject of a length of at least one, and wherein the outward scores are based on the count and weights of one or more paths leading from the first subject of a length of at least one, wherein the computation of objective influence measure for the first subject node performed using the inward scores and the outward scores is a minimum-spend eigenvector centrality of the first subject node, wherein the minimum-spend eigenvector centrality is determined by an iterative computation of eigenvector centrality.
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Specification