Presentation 2002/3/13
Statistical Mechanics of Lossy Data Compression
Tadaaki HOSAKA, Yoshiyuki KABASHIMA,
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Abstract(in English) The performance of lossy data compression is investigated via methods of statistical mechanics. Data compression is classified into two categories: lossless and lossy compressions. For each category, there exists an achievable limit which represents the best compression performance. Although it is known that several practical codes asymptotically achieve the limit for lossless compression, no practical code that saturates the limit has been found for lossy compression framework yet and quest for better practical lossy compression codes is still one of the central issues in information theory. In this thesis, a lossy data compression code on the basis of input-output relations of a perceptron is proposed and its ability and limitations are analyzed from a viewpoint of statistical mechanics. Performances of two practical encoding methods based on i) a mean field approach and ii) a Markov chain Monte Carlo sampling are also examined.
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Keyword(in English) Lossy data compression / Rate distortion theory / Perceptron / Statistical mechanics(replica method, mean field approximation, Monte Carlo sampling)
Paper # NC2001-223
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Conference Information
Committee NC
Conference Date 2002/3/13(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Statistical Mechanics of Lossy Data Compression
Sub Title (in English)
Keyword(1) Lossy data compression
Keyword(2) Rate distortion theory
Keyword(3) Perceptron
Keyword(4) Statistical mechanics(replica method, mean field approximation, Monte Carlo sampling)
1st Author's Name Tadaaki HOSAKA
1st Author's Affiliation Department of computational Intelligence and Systems Science, Tokyo Institute of Technology()
2nd Author's Name Yoshiyuki KABASHIMA
2nd Author's Affiliation Department of computational Intelligence and Systems Science, Tokyo Institute of Technology
Date 2002/3/13
Paper # NC2001-223
Volume (vol) vol.101
Number (no) 737
Page pp.pp.-
#Pages 8
Date of Issue