Tensor factorization recommender systems with dependency

Jiuchen Zhang, Yubai Yuan, Annie Qu

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Dependency structure in recommender systems has been widely adopted in recent years to improve prediction accuracy. In this paper, we propose an innovative tensor-based recommender system, namely, the Tensor Factorization with Dependency (TFD). The proposed method utilizes shared factors to characterize the dependency between different modes, in addition to pairwise additive tensor factorization to integrate information among multiple modes. One advantage of the proposed method is that it provides flexibility for different dependency structures by incorporating shared latent factors. In addition, the proposed method unifies both binary and ordinal ratings in recommender systems. We achieve scalable computation for scarce tensors with high missing rates. In theory, we show the asymptotic consistency of estimators with various loss functions for both binary and ordinal data. Our numerical studies demonstrate that the proposed method outperforms the existing methods, especially on prediction accuracy.

Original languageEnglish (US)
Pages (from-to)2175-2205
Number of pages31
JournalElectronic Journal of Statistics
Issue number1
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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