Unsupervised signal restoration using hidden Markov chains with copulas

Authors:
Nicolas Brunel;Wojciech Pieczynski
Affiliations:
Université Paris VI, LSTA, Paris, France;GET/INT Département CITI, Evry, France
Venue:
Signal Processing
Year:
2005

Citing 7
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Multisensor triplet Markov chains and theory of evidence

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Unsupervised segmentation of triplet Markov chains hidden with long-memory noise

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Learning conditional random fields for classification of hyperspectral images

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Unsupervised segmentation of hidden semi-Markov non-stationary chains

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Unsupervised data classification using pairwise Markov chains with automatic copulas selection

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Abstract

This paper deals with the statistical restoration of hidden discrete signals, extending the classical methodology based on hidden Markov chains. The aim is to take into account the hidden signal and complex relationships between the noises which can be from different parametric models, non-independent, and of class-varying nature. We discuss some possibilities of managing it using copulas. Further, we propose a parameter estimation method and apply resulting unsupervised restoration methods in variety of situations. It is also validated by experiments performed in supervised and unsupervised context.