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» On the Entropy of a Hidden Markov Process
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DCC
2004
IEEE
14 years 4 months ago
On the Entropy of a Hidden Markov Process
We study the entropy rate of a hidden Markov process (HMP) defined by observing the output of a binary symmetric channel whose input is a first-order binary Markov process. Despit...
Philippe Jacquet, Gadiel Seroussi, Wojciech Szpank...
DCC
2005
IEEE
14 years 4 months ago
Asymptotics of the Entropy Rate for a Hidden Markov Process
We calculate the Shannon entropy rate of a binary Hidden Markov Process (HMP), of given transition rate and noise (emission), as a series expansion in . The first two orders are ca...
Or Zuk, Ido Kanter, Eytan Domany
CORR
2011
Springer
168views Education» more  CORR 2011»
12 years 12 months ago
Limit Theorems for the Sample Entropy of Hidden Markov Chains
The Shannon-McMillan-Breiman theorem asserts that the sample entropy of a stationary and ergodic stochastic process converges to the entropy rate of the same process almost surely...
Guangyue Han
CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 5 months ago
Entropy of Hidden Markov Processes via Cycle Expansion
Armen E. Allahverdyan
CORR
2006
Springer
122views Education» more  CORR 2006»
13 years 4 months ago
Derivatives of Entropy Rate in Special Families of Hidden Markov Chains
Consider a hidden Markov chain obtained as the observation process of an ordinary Markov chain corrupted by noise. Zuk, et. al. [13, 14] showed how, in principle, one can explicit...
Guangyue Han, Brian Marcus