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Incorporating side information into Robust Matrix Factorization with Bayesian Quantile Regression

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  • Babkin, Andrey

Abstract

Matrix Factorization is a widely used technique for modeling pairwise and matrix-like data. It is frequently used in pattern recognition, topic analysis and other areas. Side information is often available, however utilization of this additional information is problematic in the pure matrix factorization framework. This article proposes a novel method of utilizing side information by combining arbitrary nonlinear Quantile Regression model and Matrix Factorization under Bayesian framework. Gradient-free optimization procedure with the novel Surrogate Function is used to solve the resulting MAP estimator. The model performance has been evaluated on real data-sets.

Suggested Citation

  • Babkin, Andrey, 2020. "Incorporating side information into Robust Matrix Factorization with Bayesian Quantile Regression," Statistics & Probability Letters, Elsevier, vol. 165(C).
    • Handle: RePEc:eee:stapro:v:165:y:2020:i:c:s0167715220301504
    DOI: 10.1016/j.spl.2020.108847
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    References listed on IDEAS

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    1. Yu, Keming & Moyeed, Rana A., 2001. "Bayesian quantile regression," Statistics & Probability Letters, Elsevier, vol. 54(4), pages 437-447, October.
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