Authors
Konstantin Avrachenkov, Nelly Litvak, Danil Nemirovsky, Natalia Osipova
Publication date
2007
Journal
SIAM Journal on Numerical Analysis
Volume
45
Issue
2
Pages
890-904
Publisher
Society for Industrial and Applied Mathematics
Description
PageRank is one of the principle criteria according to which Google ranks Web pages. PageRank can be interpreted as a frequency of visiting a Web page by a random surfer, and thus it reflects the popularity of a Web page. Google computes the PageRank using the power iteration method, which requires about one week of intensive computations. In the present work we propose and analyze Monte Carlo‐type methods for the PageRank computation. There are several advantages of the probabilistic Monte Carlo methods over the deterministic power iteration method: Monte Carlo methods already provide good estimation of the PageRank for relatively important pages after one iteration; Monte Carlo methods have natural parallel implementation; and finally, Monte Carlo methods allow one to perform continuous update of the PageRank as the structure of the Web changes.
Total citations
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Scholar articles
K Avrachenkov, N Litvak, D Nemirovsky, N Osipova - SIAM Journal on Numerical Analysis, 2007