Title
Robust Sequential Data Modeling Using an Outlier Tolerant Hidden Markov Model
Abstract
Hidden Markov (chain) models using finite Gaussian mixture models as their hidden state distributions have been successfully applied in sequential data modeling and classification applications. Nevertheless, Gaussian mixture models are well known to be highly intolerant to the presence of untypical data within the fitting data sets used for their estimation. Finite Student's t-mixture models have recently emerged as a heavier-tailed, robust alternative to Gaussian mixture models, overcoming these hurdles. To exploit these merits of Student's t-mixture models in the context of a sequential data modeling setting, we introduce, in this paper, a novel hidden Markov model where the hidden state distributions are considered to be finite mixtures of multivariate Student's t-densities. We derive an algorithm for the model parameters estimation under a maximum likelihood framework, assuming full, diagonal, and factor-analyzed covariance matrices. The advantages of the proposed model over conventional approaches are experimentally demonstrated through a series of sequential data modeling applications.
Year
DOI
Venue
2009
10.1109/TPAMI.2008.215
IEEE Trans. Pattern Anal. Mach. Intell.
Keywords
Field
DocType
markov processes,student s t distribution,machine learning,context modeling,data models,signal processing,markov process,expectation maximization,multivariate statistics,hidden markov chain,maximum likelihood estimation,gaussian mixture model,factor analysis,gesture recognition,covariance matrix,data model,gaussian processes,helium,mixture model,hidden markov model,training data,maximum likelihood,hidden markov models,robustness,parameter estimation,data analysis
Data modeling,Markov process,Pattern recognition,Expectation–maximization algorithm,Computer science,Markov chain,Outlier,Artificial intelligence,Gaussian process,Hidden Markov model,Mixture model
Journal
Volume
Issue
ISSN
31
9
0162-8828
Citations 
PageRank 
References 
53
2.27
15
Authors
3
Name
Order
Citations
PageRank
Sotirios P. Chatzis125024.25
Dimitrios I. Kosmopoulos237827.91
Theodora A. Varvarigou31237107.34