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	American 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 = "American English",

isbn = "1424403553",

series = "IEEE International Conference on Communications",

pages = "1598--1604",

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

note = "2006 IEEE International Conference on Communications, ICC 2006 ; Conference date: 11-07-2006 Through 15-07-2006",

}

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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AU - Zuk, Or

AU - Domany, Eytan

AU - Kanter, Ido

AU - Aizenman, Michael

PY - 2006

Y1 - 2006

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.

AB - 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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U2 - 10.1109/ICC.2006.255039

DO - 10.1109/ICC.2006.255039

M3 - Conference contribution

AN - SCOPUS:42549094215

SN - 1424403553

SN - 9781424403554

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BT - 2006 IEEE International Conference on Communications, ICC 2006

T2 - 2006 IEEE International Conference on Communications, ICC 2006

Y2 - 11 July 2006 through 15 July 2006

ER -

Taylor series expansions for the entropy rate of Hidden Markov Processes

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