Robust probabilistic tensor analysis for time-variant collaborative filtering

  • Authors:
  • Jing Pan;Zhao Ma;Yanwei Pang;Yuan Yuan

  • Affiliations:
  • School of Electronic Engineering, Tianjin University of Technology and Education, Tianjin 300222, China;School of Electronic Information Engineering, Tianjin University, Tianjin 300072, China;School of Electronic Information Engineering, Tianjin University, Tianjin 300072, China;Center for OPTical IMagery Analysis and Learning (OPTIMAL), State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, ...

  • Venue:
  • Neurocomputing
  • Year:
  • 2013

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Abstract

The input data of collaborative filtering, also known as recommendation system, are usually sparse and noisy. In addition, in many cases the data are time-variant and have obvious periodic property. In this paper, we take the two characteristics into account. To utilize the time-variant and periodic properties, we describe the data as a three-order tensor and then formulate the collaborative filtering as a problem of probabilistic tensor decomposition with a time-periodical constraint. The robustness is achieved by employing Tsallis divergence to describe the objective function and q-EM algorithm to find the optimal solution. The proposed method is demonstrated on movie recommendation. Experimental results on two Netflix and Movielens databases show the superiority of the proposed method.