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TotalRank: ranking without damping

Published: 10 May 2005 Publication History

Abstract

PageRank is defined as the stationary state of a Markov chain obtained by perturbing the transition matrix of a web graph with a damping factor α that spreads part of the rank. The choice of α is eminently empirical, but most applications use α = 0.85; nonetheless, the selection of α is critical, and some believe that link farms may use this choice adversarially. Recent results [1] prove that the PageRank of a page is a rational function of α, and that this function can be approximated quite efficiently: this fact can be used to define a new form of ranking, TotalRank, that averages PageRanks over all possible α's. We show how this rank can be computed efficiently, and provide some preliminary experimental results on its quality and comparisons with PageRank.

References

[1]
Paolo Boldi, Massimo Santini, and Sebastiano Vigna.PageRank as a function of the damping factor. In Proceedings of the Fourteenth International World--Wide Web Conference, 2005. To appear.
[2]
Paolo Boldi and Sebastiano Vigna. The WebGraph framework I: Compression techniques. In Proc. of the Thirteenth International World Wide Web Conference, pages 595--601, Manhattan, USA, 2004. ACM Press.
[3]
Ronald Fagin, Ravi Kumar, and D. Sivakumar. Comparing top k lists. In Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms, pages 28--36. Society for Industrial and Applied Mathematics, 2003.
[4]
Maurice G. Kendall. Rank Correlation Methods. Hafner Publishing Co., New York, 1955.
[5]
Lawrence Page, Sergey Brin, Rajeev Motwani, and Terry Winograd. The PageRank citation ranking: Bringing order to the web. Technical report, Stanford Digital Library Technologies Project, Stanford University, Stanford, CA, USA, 1998.
[6]
Hui Zhang, Ashish Goel, Ramesh Govindan, Kahn Mason, and Benjamin Van Roy. Making eigenvector-based reputation systems robust to collision. In Stefano Leonardi, editor, Proceedings WAW 2004, number 3243 in LNCS, pages 92--104. Springer-Verlag, 2004.

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      cover image ACM Conferences
      WWW '05: Special interest tracks and posters of the 14th international conference on World Wide Web
      May 2005
      454 pages
      ISBN:1595930515
      DOI:10.1145/1062745
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Publication History

      Published: 10 May 2005

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      Author Tags

      1. Kendall's τ
      2. link farms
      3. pageRank
      4. ranking

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      • (2018)Multiscale mixing patterns in networksProceedings of the National Academy of Sciences10.1073/pnas.1713019115115:16(4057-4062)Online publication date: 2-Apr-2018
      • (2018)Functional-Oriented Relationship Strength Estimation: From Online Events to Offline InteractionsDatabase Systems for Advanced Applications10.1007/978-3-319-91452-7_29(442-459)Online publication date: 13-May-2018
      • (2017)Quantifying the web browser ecosystemPLOS ONE10.1371/journal.pone.017928112:6(e0179281)Online publication date: 23-Jun-2017
      • (2017)Unsupervised Ranking using Graph Structures and Node AttributesProceedings of the Tenth ACM International Conference on Web Search and Data Mining10.1145/3018661.3018668(771-779)Online publication date: 2-Feb-2017
      • (2015)Random Surfing Without TeleportationAlgorithms, Probability, Networks, and Games10.1007/978-3-319-24024-4_19(344-357)Online publication date: 22-Nov-2015
      • (2014)Propagating Both Trust and Distrust with Target Differentiation for Combating Link-Based Web SpamACM Transactions on the Web10.1145/26284408:3(1-33)Online publication date: 8-Jul-2014
      • (2014)STUN: querying spatio-temporal uncertain (social) networksSocial Network Analysis and Mining10.1007/s13278-014-0156-x4:1Online publication date: 5-Feb-2014
      • (2014)Personalized PageRank with Node-Dependent RestartAlgorithms and Models for the Web Graph10.1007/978-3-319-13123-8_3(23-33)Online publication date: 13-Nov-2014
      • (2013)NCDawareRankProceedings of the sixth ACM international conference on Web search and data mining10.1145/2433396.2433415(143-152)Online publication date: 4-Feb-2013
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