Taylor series expansions for the entropy rate of Hidden Markov Processes

Or Zuk; Eytan Domany; Ido Kanter; Michael Aizenman

doi:10.1109/ICC.2006.255039

Taylor series expansions for the entropy rate of Hidden Markov Processes

Or Zuk^*, Eytan Domany, Ido Kanter, Michael Aizenman

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

8 Scopus citations

Abstract

Finding the entropy rate of Hidden Markov Processes is an active research topic, of both theoretical and practical importance. A recently used approach is studying the asymptotic behavior of the entropy rate in various regimes. In this paper we generalize and prove a previous conjecture relating the entropy rate to entropies of finite systems. We use the proof to establish series expansions for the entropy rate in two different regimes. We also study the radius of convergence of the two series expansions.

Original language	English
Title of host publication	2006 IEEE International Conference on Communications, ICC 2006
Pages	1598-1604
Number of pages	7
DOIs	https://doi.org/10.1109/ICC.2006.255039
State	Published - 2006
Externally published	Yes
Event	2006 IEEE International Conference on Communications, ICC 2006 - Istanbul, Turkey Duration: 11 Jul 2006 → 15 Jul 2006

Publication series

Name	IEEE International Conference on Communications
Volume	4
ISSN (Print)	0536-1486

Conference

Conference	2006 IEEE International Conference on Communications, ICC 2006
Country/Territory	Turkey
City	Istanbul
Period	11/07/06 → 15/07/06

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10.1109/ICC.2006.255039

Cite this

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title = "Taylor series expansions for the entropy rate of Hidden Markov Processes",

abstract = "Finding the entropy rate of Hidden Markov Processes is an active research topic, of both theoretical and practical importance. A recently used approach is studying the asymptotic behavior of the entropy rate in various regimes. In this paper we generalize and prove a previous conjecture relating the entropy rate to entropies of finite systems. We use the proof to establish series expansions for the entropy rate in two different regimes. We also study the radius of convergence of the two series expansions.",

author = "Or Zuk and Eytan Domany and Ido Kanter and Michael Aizenman",

year = "2006",

doi = "10.1109/ICC.2006.255039",

language = "אנגלית",

isbn = "1424403553",

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pages = "1598--1604",

booktitle = "2006 IEEE International Conference on Communications, ICC 2006",

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Zuk, O, Domany, E, Kanter, I & Aizenman, M 2006, Taylor series expansions for the entropy rate of Hidden Markov Processes. in 2006 IEEE International Conference on Communications, ICC 2006., 4024380, IEEE International Conference on Communications, vol. 4, pp. 1598-1604, 2006 IEEE International Conference on Communications, ICC 2006, Istanbul, Turkey, 11/07/06. https://doi.org/10.1109/ICC.2006.255039

Taylor series expansions for the entropy rate of Hidden Markov Processes. / Zuk, Or; Domany, Eytan; Kanter, Ido et al.
2006 IEEE International Conference on Communications, ICC 2006. 2006. p. 1598-1604 4024380 (IEEE International Conference on Communications; Vol. 4).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Finding the entropy rate of Hidden Markov Processes is an active research topic, of both theoretical and practical importance. A recently used approach is studying the asymptotic behavior of the entropy rate in various regimes. In this paper we generalize and prove a previous conjecture relating the entropy rate to entropies of finite systems. We use the proof to establish series expansions for the entropy rate in two different regimes. We also study the radius of convergence of the two series expansions.

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Taylor series expansions for the entropy rate of Hidden Markov Processes

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