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A note on variational Bayesian factor analysis

delete2009-09-01
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J
Jianhua Zhao *
P
Philip L. H. Yu
DOI:10.1016/j.neunet.2008.11.002delete
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Abstract

Abstract

En 中文
Existing works on variational bayesian (VB) treatment for factor analysis (FA) model such as [Ghahramani, Z., & Beal, M. (2000). Variational inference for Bayesian mixture of factor analysers. In Advances in neural information proceeding systems. Cambridge, MA: MIT Press: Nielsen, F. B. (2004). Variational approach to factor analysis and related models. Master's thesis, The Institute of Informatics and Mathematical Modelling, Technical University of Denmark.] are found theoretically and empirically to suffer two problems: (1) penalize the model more heavily than BIC and (2) perform unsatisfactorily in low noise cases as redundant factors can not be effectively suppressed. A novel VB treatment is proposed in this paper to resolve the two problems and a simulation study is conducted to testify its improved performance over existing treatments. (C) 2008 Elsevier Ltd. All rights reserved.
Keywords:
Factor analysis
VB
BIC
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Neural Networks cover
Neural Networks
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University of Hong Kong
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