English

A Novel Bayesian Approach for Latent Variable Modeling from Mixed Data with Missing Values

Machine Learning 2018-06-13 v1 Machine Learning

Abstract

We consider the problem of learning parameters of latent variable models from mixed (continuous and ordinal) data with missing values. We propose a novel Bayesian Gaussian copula factor (BGCF) approach that is consistent under certain conditions and that is quite robust to the violations of these conditions. In simulations, BGCF substantially outperforms two state-of-the-art alternative approaches. An illustration on the `Holzinger & Swineford 1939' dataset indicates that BGCF is favorable over the so-called robust maximum likelihood (MLR) even if the data match the assumptions of MLR.

Keywords

Cite

@article{arxiv.1806.04610,
  title  = {A Novel Bayesian Approach for Latent Variable Modeling from Mixed Data with Missing Values},
  author = {Ruifei Cui and Ioan Gabriel Bucur and Perry Groot and Tom Heskes},
  journal= {arXiv preprint arXiv:1806.04610},
  year   = {2018}
}
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