Title
The infinite Student's t-factor mixture analyzer for robust clustering and classification
Abstract
Recently, the Student's t-factor mixture analyzer (tFMA) has been proposed. Compared with the mixture of Student's t-factor analyzers (MtFA), the tFMA has better performance when processing high-dimensional data. Moreover, the factors estimated by the tFMA can be visualized in a low-dimensional latent space, which is not shared by the MtFA. However, as the tFMA belongs to finite mixtures and the related parameter estimation method is based on the maximum likelihood criterion, it could not automatically determine the appropriate model complexity according to the observed data, leading to overfitting. In this paper, we propose an infinite Student's t-factor mixture analyzer (itFMA) to handle this issue. The itFMA is based on the nonparametric Bayesian statistics which assumes infinite number of mixing components in advance, and automatically determines the proper number of components after observing the high-dimensional data. Moreover, we derive an efficient variational inference algorithm for the itFMA. The proposed itFMA and the related variational inference algorithm are used to cluster and classify high-dimensional data. Experimental results of some applications show that the itFMA has good generalization capacity, offering a more robust and powerful performance than other competing approaches.
Year
DOI
Venue
2012
10.1016/j.patcog.2012.05.003
Pattern Recognition
Keywords
Field
DocType
robust clustering,observed data,proposed itfma,high-dimensional data,finite mixture,t-factor mixture analyzer,efficient variational inference algorithm,infinite student,t-factor analyzer,infinite number,better performance,classification,clustering
Pattern recognition,Inference,Computer science,Nonparametric bayesian,Artificial intelligence,Estimation theory,Overfitting,Cluster analysis,Spectrum analyzer,Machine learning,Model complexity,Maximum likelihood criterion
Journal
Volume
Issue
ISSN
45
12
0031-3203
Citations 
PageRank 
References 
8
0.47
21
Authors
2
Name
Order
Citations
PageRank
Xin Wei15910.53
Zhen Yang24513.51