Journal of Xidian University ›› 2016, Vol. 43 ›› Issue (3): 13-18+72.doi: 10.3969/j.issn.1001-2400.2016.03.003

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Infinite max-margin Beta process factor analysis model

ZHANG Xuefeng;CHEN Bo;WANG Penghui;WEN Wei;LIU Hongwei   

  1. (National Key Lab. of Radar Signal Processing, Xidian Univ., Xi'an  710071, China)
  • Received:2015-02-10 Online:2016-06-20 Published:2016-07-16
  • Contact: ZHANG Xuefeng E-mail:zxf0913@163.com

Abstract:

An infinite max-margin Beta process factor analysis (IMMBPFA) model is developed to deal with the classification problem on multimodal data. In this model, BPFA is utilized to capture the latent feature of data. With the idea of mixture experts, IMMBPFA divides the data into ‘infinite’ clusters via the Dirichlet process (DP) mixture model in the low-dimensional latent space and meanwhile learns a linear max-margin classifier on each cluster to construct a complex nonlinear classifier. Since the proposed model jointly learns BPFA, clustering and max-margin classifier in a unified Bayesian framework, it exhibits superior performance in both data description and discrimination. With the help of nonparametric Bayesian inference and the Gibbs sampler, we avoid the model selection problem and can estimate the parameters simply and effectively. Based on the experimental data obtained from Benchmark and measured radar high resolution range profile (HRRP) dataset, the effectiveness of proposed method is validated.

Key words: Beta process factor analysis (BPFA), mixture-of-experts, Dirichlet process mixture(DPM) model, max-margin classifiers