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The Entropy of a Binary Hidden Markov Process |
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| Authors: | Or Zuk Ido Kanter Eytan Domany |
| Affiliation: | (1) Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, 76100, Israel;(2) Department of Physics, Bar Ilan University, Ramat Gan, 52900, Israel |
| Abstract: | The entropy of a binary symmetric Hidden Markov Process is calculated as an expansion in the noise parameter ε. 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 ε. Using a conjecture we extend the calculation to 11th order and discuss the convergence of the resulting series |
| Keywords: | Hidden Markov Process entropy random-field Ising model |
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