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Dirichlet process mixtures of generalized mallows models

Published: 08 July 2010 Publication History

Abstract

We present a Dirichlet process mixture model over discrete incomplete rankings and study two Gibbs sampling inference techniques for estimating posterior clusterings. The first approach uses a slice sampling subcomponent for estimating cluster parameters. The second approach marginalizes out several cluster parameters by taking advantage of approximations to the conditional posteriors. We empirically demonstrate (1) the effectiveness of this approximation for improving convergence, (2) the benefits of the Dirichlet process model over alternative clustering techniques for ranked data, and (3) the applicability of the approach to exploring large real-world ranking datasets.

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Cited By

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  • (2019)Analysis of ranking dataWIREs Computational Statistics10.1002/wics.148311:6Online publication date: 10-Oct-2019
  • (2017)Probabilistic preference learning with the mallows rank modelThe Journal of Machine Learning Research10.5555/3122009.324201518:1(5796-5844)Online publication date: 1-Jan-2017
  • (2017)A Restricted Markov Tree Model for Inference and Generation in Social Choice with Incomplete PreferencesProceedings of the 16th Conference on Autonomous Agents and MultiAgent Systems10.5555/3091125.3091251(893-901)Online publication date: 8-May-2017
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    Published In

    cover image Guide Proceedings
    UAI'10: Proceedings of the Twenty-Sixth Conference on Uncertainty in Artificial Intelligence
    July 2010
    751 pages
    ISBN:9780974903965
    • Editors:
    • Peter Grunwald,
    • Peter Spirtes

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    AUAI Press

    Arlington, Virginia, United States

    Publication History

    Published: 08 July 2010

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    View all
    • (2019)Analysis of ranking dataWIREs Computational Statistics10.1002/wics.148311:6Online publication date: 10-Oct-2019
    • (2017)Probabilistic preference learning with the mallows rank modelThe Journal of Machine Learning Research10.5555/3122009.324201518:1(5796-5844)Online publication date: 1-Jan-2017
    • (2017)A Restricted Markov Tree Model for Inference and Generation in Social Choice with Incomplete PreferencesProceedings of the 16th Conference on Autonomous Agents and MultiAgent Systems10.5555/3091125.3091251(893-901)Online publication date: 8-May-2017
    • (2012)Bayesian vote manipulationProceedings of the Twenty-Eighth Conference on Uncertainty in Artificial Intelligence10.5555/3020652.3020710(543-553)Online publication date: 14-Aug-2012

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