Arbres de Markov Triplet et théorie de l'évidence

Content Provider	Semantic Scholar
Author	Lanchantin, Pierre Pieczynski, Wojciech
Copyright Year	2003
Abstract	The triplet Markov chains (TMC) generalize the pairwise Markov chains (PMC), and the latter generalize the hidden Markov chains (HMC). Otherwise, in an HMC the posterior distribution o f the hidden p rocess can b e viewed as a particular case of the so called "Dempster-Shafer fusion" (DS fusion) of its prior Markov distribution p with a probability q defined from the observations. When we place ourselves in the theory of evidence context by replacing p by a mass function M , the result of DS fusion o f M with q generalizes the conventional posterior distribution o f the hidden p rocess. Although this result i s not necessarily a Markov distribution, it has been recently shown that it is a TMC, which renders traditional restoration methods applicable. Further, these results remain v alid when remplacing the Markov cchains with Markov trees. We propose to extend these results to Pairwise Markov chains and trees. Further, we show the pratical interest if the theory of evidence in the unsupervised segmentation of non stationnary hidden Markov chains. n n n n x y p x y p x x p x x p x p y x p - = (1)
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Alternate Webpage(s)	http://www-public.int-evry.fr/~pieczyn/C56.pdf
Alternate Webpage(s)	http://www-public.imtbs-tsp.eu/~pieczyn/C56.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article