A hierarchical model for ordinal matrix factorization |
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Authors: | Ulrich Paquet Blaise Thomson Ole Winther |
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Affiliation: | 1.Microsoft Research Cambridge,Cambridge,UK;2.Engineering Department,University of Cambridge,Cambridge,UK;3.Informatics and Mathematical Modelling,Technical University of Denmark,Lyngby,Denmark |
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Abstract: | This paper proposes a hierarchical probabilistic model for ordinal matrix factorization. Unlike previous approaches, we model the ordinal nature of the data and take a principled approach to incorporating priors for the hidden variables. Two algorithms are presented for inference, one based on Gibbs sampling and one based on variational Bayes. Importantly, these algorithms may be implemented in the factorization of very large matrices with missing entries. |
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