منابع مشابه
On Triplet Markov Chains
The restoration of a hidden process X from an observed process Y is often performed in the framework of hidden Markov chains (HMC). HMC have been recently generalized to triplet Markov chains (TMC). In the TMC model one introduces a third random chain U and assumes that the triplet T = (X,U, Y ) is a Markov chain (MC). TMC generalize HMC but still enable the development of efficient Bayesian al...
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Hidden Markov models (HMM), like chains or trees considered in this paper, are widely used in different situations. Such models, in which the hidden process X is a Markov one, allow one estimating the latter from an observed process Y , which can be seen as a noisy version of X . This is possible once the distribution of X conditional on Y is a Markov distribution. These models have been recent...
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This work deals with the unsupervised Bayesian hidden Markov chain restoration extended to the non stationary case. Unsupervised restoration based on “ExpectationMaximization” (EM) or “Stochastic EM” (SEM) estimates considering the “Hidden Markov Chain” (HMC) model is quite efficient when the hidden chain is stationary. However, when the latter is not stationary, the unsupervised restoration re...
متن کاملParticle Filtering in Pairwise and Triplet Markov Chains
The estimation of an unobservable process x from an observed process y is often performed in the framework of Hidden Markov Models (HMM). In the linear Gaussian case, the classical recursive solution is given by the Kalman filter. On the other hand, particle filters provide approximate solutions in more complex situations. In this paper, we propose two successive generalizations of the classica...
متن کاملMultisensor triplet Markov chains and theory of evidence
Hidden Markov chains (HMC) are widely applied in various problems occurring in different areas like Biosciences, Climatology, Communications, Ecology, Econometrics and Finances, Image or Signal processing. In such models, the hidden process of interest X is a Markov chain, which must be estimated from an observable Y, interpretable as being a noisy version of X. The success of HMC is mainly due...
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ژورنال
عنوان ژورنال: IEEE Transactions on Pattern Analysis and Machine Intelligence
سال: 2014
ISSN: 0162-8828,2160-9292
DOI: 10.1109/tpami.2014.2327974