Presentation 2005-07-22
An Algorithm of Bayes Coding for FSMX Sources to Reduce Required Memory Size
Akira NAKANO, Naoto KOBAYASHI, Toshiyasu MATSUSHIMA,
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Abstract(in English) Bayes code is one of universal source codings, such that a class of the probabilistic model of source is known but the parameters of the probabilistic model are not known. Bayes code provides Bayes optimality in term of redundancy. Matsushima proposed Bayes coding algorithm for FSMX sources. In his algorithm, coding probability is calculated using a context tree. The algorithm, however, needs enormous memory if it encodes some sequences, because upper bound of required memory size is not less or equal to O(n) for sequence size n. In this paper, we propose Bayes coding algorithm for FSMX sources to reduce required memory size, and we investigate its performance. In addition, if we encode sequence x^n in our algorithm, required memory size is O(n). Time complexity of our algorithm is equivalent to Matsushima's algorithm.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Source Coding / Universal Coding / Bayes Code / FSMX Sources / Context Tree
Paper # IT2005-50
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Committee IT
Conference Date 2005/7/15(1days)
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Registration To Information Theory (IT)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Algorithm of Bayes Coding for FSMX Sources to Reduce Required Memory Size
Sub Title (in English)
Keyword(1) Source Coding
Keyword(2) Universal Coding
Keyword(3) Bayes Code
Keyword(4) FSMX Sources
Keyword(5) Context Tree
1st Author's Name Akira NAKANO
1st Author's Affiliation Department of Industrial Management Systems Engineering, School of Schience and Engineering, Waseda University()
2nd Author's Name Naoto KOBAYASHI
2nd Author's Affiliation Department of Industrial Management Systems Engineering, School of Schience and Engineering, Waseda University
3rd Author's Name Toshiyasu MATSUSHIMA
3rd Author's Affiliation Department of Industrial Management Systems Engineering, School of Schience and Engineering, Waseda University
Date 2005-07-22
Paper # IT2005-50
Volume (vol) vol.105
Number (no) 191
Page pp.pp.-
#Pages 6
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