Yu, Weiren, Lin, Xuemin, Zhang, Wenjie, Chang, Lijun and Pei, Jian (2013) More is simpler : effectively and efficiently assessing node-pair similarities based on hyperlinks. Proceedings of the VLDB Endowment, 7 (1). pp. 13-24. doi:10.14778/2732219.2732221

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Abstract

Similarity assessment is one of the core tasks in hyperlink analysis. Recently, with the proliferation of applications, e.g., web search and collaborative filtering, SimRank has been a well-studied measure of similarity between two nodes in a graph. It recursively follows the philosophy that "two nodes are similar if they are referenced (have incoming edges) from similar nodes", which can be viewed as an aggregation of similarities based on incoming paths. Despite its popularity, SimRank has an undesirable property, i.e., "zero-similarity": It only accommodates paths with equal length from a common "center" node. Thus, a large portion of other paths are fully ignored. This paper attempts to remedy this issue. (1) We propose and rigorously justify SimRank*, a revised version of SimRank, which resolves such counter-intuitive "zero-similarity" issues while inheriting merits of the basic SimRank philosophy. (2) We show that the series form of SimRank* can be reduced to a fairly succinct and elegant closed form, which looks even simpler than SimRank, yet enriches semantics without suffering from increased computational cost. This leads to a fixed-point iterative paradigm of SimRank* in O(Knm) time on a graph of n nodes and m edges for K iterations, which is comparable to SimRank. (3) To further optimize SimRank* computation, we leverage a novel clustering strategy via edge concentration. Due to its NP-hardness, we devise an efficient and effective heuristic to speed up SimRank* computation to O(Knm) time, where m is generally much smaller than m. (4) Using real and synthetic data, we empirically verify the rich semantics of SimRank*, and demonstrate its high computation efficiency.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Divisions:	Faculty of Science > Computer Science
Library of Congress Subject Headings (LCSH):	Graph theory -- Data processing, Data mining, Information networks --Mathematics, Graph algorithms, SimRank, Discrete mathematics
Journal or Publication Title:	Proceedings of the VLDB Endowment
Publisher:	ACM
ISSN:	2150-8097
Official Date:	September 2013
Dates:	Date Event September 2013 Published
Date of first compliant deposit:	31 January 2020
Date of first compliant Open Access:	17 February 2020
Volume:	7
Number:	1
Page Range:	pp. 13-24
DOI:	10.14778/2732219.2732221
Status:	Peer Reviewed
Publication Status:	Published
Publisher Statement:	© Author | ACM 2013. This is the author's version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in Proceedings of the VLDB Endowment, http://dx.doi.org/10.14778/2732219.2732221
Access rights to Published version:	Restricted or Subscription Access

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