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Recommender systems with non-binary grades

Published: 04 June 2011 Publication History

Abstract

We consider the interactive model of recommender systems, in which users are asked about just a few of their preferences, and in return the system outputs an approximation of all their preferences. The measure of performance is the probe complexity of the algorithm, defined to be the maximal number of answers any user should provide (probe complexity typically depends inversely on the number of users with similar preferences and on the quality of the desired approximation). Previous interactive recommendation algorithms assume that user preferences are binary, meaning that each object is either "liked" or "disliked" by each user. In this paper we consider the general case in which users may have a more refined scale of preference, namely more than two possible grades. We show how to reduce the non-binary case to the binary one, proving the following results. For discrete grades with s possible values, we give a simple deterministic reduction that preserves the approximation properties of the binary algorithm at the cost of increasing probe complexity by factor s. Our main result is for the general case, where we assume that user grades are arbitrary real numbers. For this case we present an algorithm that preserves the approximation properties of the binary algorithm while incurring only polylogarithmic overhead.

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Cited By

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  • (2015)Comparison-Based Interactive Collaborative FilteringPost-Proceedings of the 22nd International Colloquium on Structural Information and Communication Complexity - Volume 943910.1007/978-3-319-25258-2_30(429-443)Online publication date: 14-Jul-2015
  • (2014)A continuous rating model for news recommendationJournal of Information Science10.1177/016555151454206540:5(568-577)Online publication date: 1-Oct-2014
  • (2011)Improved collaborative filteringProceedings of the 22nd international conference on Algorithms and Computation10.1007/978-3-642-25591-5_44(425-434)Online publication date: 5-Dec-2011

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    cover image ACM Conferences
    SPAA '11: Proceedings of the twenty-third annual ACM symposium on Parallelism in algorithms and architectures
    June 2011
    404 pages
    ISBN:9781450307437
    DOI:10.1145/1989493
    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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    Published: 04 June 2011

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    Author Tags

    1. collaborative filtering
    2. recommendation systemes

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    View all
    • (2015)Comparison-Based Interactive Collaborative FilteringPost-Proceedings of the 22nd International Colloquium on Structural Information and Communication Complexity - Volume 943910.1007/978-3-319-25258-2_30(429-443)Online publication date: 14-Jul-2015
    • (2014)A continuous rating model for news recommendationJournal of Information Science10.1177/016555151454206540:5(568-577)Online publication date: 1-Oct-2014
    • (2011)Improved collaborative filteringProceedings of the 22nd international conference on Algorithms and Computation10.1007/978-3-642-25591-5_44(425-434)Online publication date: 5-Dec-2011

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