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» Kolmogorov Complexity: Sources, Theory and Applications
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TIT
2010
107views Education» more  TIT 2010»
12 years 12 months ago
Rate distortion and denoising of individual data using Kolmogorov complexity
We examine the structure of families of distortion balls from the perspective of Kolmogorov complexity. Special attention is paid to the canonical rate-distortion function of a so...
Nikolai K. Vereshchagin, Paul M. B. Vitányi
CORR
2006
Springer
127views Education» more  CORR 2006»
13 years 5 months ago
Approximating Rate-Distortion Graphs of Individual Data: Experiments in Lossy Compression and Denoising
Classical rate-distortion theory requires knowledge of an elusive source distribution. Instead, we analyze rate-distortion properties of individual objects using the recently devel...
Steven de Rooij, Paul M. B. Vitányi
CAE
2007
13 years 7 months ago
Conceptualizing Birkhoff's Aesthetic Measure Using Shannon Entropy and Kolmogorov Complexity
In 1928, George D. Birkhoff introduced the Aesthetic Measure, defined as the ratio between order and complexity, and, in 1965, Max Bense analyzed Birkhoff's measure from an i...
Jaume Rigau, Miquel Feixas, Mateu Sbert
EUROGP
2001
Springer
103views Optimization» more  EUROGP 2001»
13 years 9 months ago
Computational Complexity, Genetic Programming, and Implications
Recent theory work has shown that a Genetic Program (GP) used to produce programs may have output that is bounded above by the GP itself [l]. This paper presents proofs that show t...
Bart Rylander, Terence Soule, James A. Foster
IWIA
2006
IEEE
13 years 11 months ago
An Application of Information Theory to Intrusion Detection
Zero-day attacks, new (anomalous) attacks exploiting previously unknown system vulnerabilities, are a serious threat. Defending against them is no easy task, however. Having ident...
E. Earl Eiland, Lorie M. Liebrock