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ABSTRACT
In this note we consider a simple reformulation of the traditional power iteration algorithm for computing the stationary distribution of a Markov chain. Rather than communicate their current probability values to their neighbors at each step, nodes instead communicate only changes in probability value. This reformulation enables a large degree of flexibility in the manner in which nodes update their values, leading to an array of optimizations and features, including faster convergence, efficient incremental updating, and a robust distributed implementation.While the spirit of many of these optimizations appear in previous literature, we observe several cases where this unification simplifies previous work, removing technical complications and extending their range of applicability. We implement and measure the performance of several optimizations on a sizable (34M node) web subgraph, seeing significant composite performance gains, especially for the case of incremental recomputation after changes to the web graph.
REFERENCES
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CITED BY 10
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Tamás Sarlós , Adrás A. Benczúr , Károly Csalogány , Dániel Fogaras , Balázs Rácz, To randomize or not to randomize: space optimal summaries for hyperlink analysis, Proceedings of the 15th international conference on World Wide Web, May 23-26, 2006, Edinburgh, Scotland
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Shenghua Bao , Guirong Xue , Xiaoyuan Wu , Yong Yu , Ben Fei , Zhong Su, Optimizing web search using social annotations, Proceedings of the 16th international conference on World Wide Web, May 08-12, 2007, Banff, Alberta, Canada
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Yuting Liu , Bin Gao , Tie-Yan Liu , Ying Zhang , Zhiming Ma , Shuyuan He , Hang Li, BrowseRank: letting web users vote for page importance, Proceedings of the 31st annual international ACM SIGIR conference on Research and development in information retrieval, July 20-24, 2008, Singapore, Singapore
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Lei Yang , Lei Qi , Yan-Ping Zhao , Bin Gao , Tie-Yan Liu, Link analysis using time series of web graphs, Proceedings of the sixteenth ACM conference on Conference on information and knowledge management, November 06-10, 2007, Lisbon, Portugal
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