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A Statistical Mechanical Interpretation of Algorithmic Information TheoryStatistical Mechanical Interpretation of Noiseless Source Coding

A Statistical Mechanical Interpretation of Algorithmic Information Theory: Statistical Mechanical... [In this chapter we develop a statistical mechanical interpretation of the noiseless source coding scheme based on an absolutely optimal instantaneous code. The notions in statistical mechanics such as statistical mechanical entropy, temperature, and thermal equilibrium are translated into the context of noiseless source coding. Especially, it is discovered that the temperature 1 corresponds to the average codeword length of an instantaneous code in this statistical mechanical interpretation of noiseless source coding scheme.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Statistical Mechanical Interpretation of Algorithmic Information TheoryStatistical Mechanical Interpretation of Noiseless Source Coding

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Publisher
Springer Singapore
Copyright
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2019
ISBN
978-981-15-0738-0
Pages
1 –12
DOI
10.1007/978-981-15-0739-7_1
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter we develop a statistical mechanical interpretation of the noiseless source coding scheme based on an absolutely optimal instantaneous code. The notions in statistical mechanics such as statistical mechanical entropy, temperature, and thermal equilibrium are translated into the context of noiseless source coding. Especially, it is discovered that the temperature 1 corresponds to the average codeword length of an instantaneous code in this statistical mechanical interpretation of noiseless source coding scheme.]

Published: Nov 12, 2019

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