A Generalized Latent Factor Model Approach to Mixed-data Matrix Completion with Entrywise Consistency

Yunxiao Chen; Xiaoou Li

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arXiv · 2211.09272

A Generalized Latent Factor Model Approach to Mixed-data Matrix Completion with Entrywise Consistency

Yunxiao Chen·Xiaoou Li

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Abstract

Matrix completion is a class of machine learning methods that concerns the prediction of missing entries in a partially observed matrix. This paper studies matrix completion for mixed data, i.e., data involving mixed types of variables (e.g., continuous, binary, ordinal). We formulate it as a low-rank matrix estimation problem under a general family of non-linear factor models and then propose entrywise consistent estimators for estimating the low-rank matrix. Tight probabilistic error bounds are derived for the proposed estimators. The proposed methods are evaluated by simulation studies and real-data applications for collaborative filtering and large-scale educational assessment.

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BibTeX RIS

Yunxiao Chen, Xiaoou Li. 2022-11-17. A Generalized Latent Factor Model Approach to Mixed-data Matrix Completion with Entrywise Consistency. https://arxiv.org/abs/2211.09272

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