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The Entropy of a Binary Hidden Markov Process

O. Zuk·I. Kanter·E. Domany
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Abstract

The entropy of a binary symmetric Hidden Markov Process is calculated as an expansion in the noise parameter epsilon. We map the problem onto a one-dimensional Ising model in a large field of random signs and calculate the expansion coefficients up to second order in epsilon. Using a conjecture we extend the calculation to 11th order and discuss the convergence of the resulting series.

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O. Zuk, I. Kanter, E. Domany. 2005-07-23. The Entropy of a Binary Hidden Markov Process. https://doi.org/10.1007/s10955-005-7576-y

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