Improved collaborative filtering

  • Authors:
  • Aviv Nisgav;Boaz Patt-Shamir

  • Affiliations:
  • School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel;School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel

  • Venue:
  • ISAAC'11 Proceedings of the 22nd international conference on Algorithms and Computation
  • Year:
  • 2011

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Abstract

We consider the interactive model of collaborative filtering, where each member of a given set of users has a grade for each object in a given set of objects. The users do not know the grades at start, but a user can probe any object, thereby learning her grade for that object directly. We describe reconstruction algorithms which generate good estimates of all user grades ("preference vectors") using only few probes. To this end, the outcomes of probes are posted on some public "billboard", allowing users to adopt results of probes executed by others. We give two new algorithms for this task under very general assumptions on user preferences: both improve the best known query complexity for reconstruction, and one improving resilience in the presence of many users with esoteric taste.