Algorithmic cross-complexity and relative complexity

Proceedings - 2009 Data Compression Conference, DCC 2009

Volumn , Issue , 2009, Pages 342-351

  Cerra, Daniele ^a   Datcu, Mihai ^a,b  

^a GERMAN AEROSPACE CENTER DLR   (Germany)

^b TELECOM PARISTECH   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMIC INFORMATION THEORY; BASIC CONCEPTS; CLASSICAL INFORMATION; COMPRESSION POWER; COMPUTATIONAL RESOURCES; CROSS ENTROPY; INFORMATION CONTENTS; KULLBACK LEIBLER DIVERGENCE; MUTUAL INFORMATIONS; RELATIVE COMPLEXITY; RELATIVE ENTROPY;

COMPUTATIONAL COMPLEXITY; ENTROPY; INFORMATION THEORY; MICROWAVE ANTENNAS; PARALLEL PROCESSING SYSTEMS;

DATA COMPRESSION;

EID: 67650671586     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/DCC.2009.6     Document Type: Conference Paper

References (18)

1. C. E. Shannon, "A Mathematical Theory of Communication", Bell System Technical Journal, vol. 27, pp. 379-423, 623-656, 1948.
2. A.N. Kolmogorov, "Three Approaches to the Quantitative Definition of Information," Problems of Information Transmission, vol. 1, no. 1, pp. 1-7, 1965.
3. G.J. Chaitin, "On the length of programs for computing finite binary sequences", J. Assoc. Comput. Mach., no. 16, pp. 145-159, 1969.
4. R. Solomonoff, "A Formal Theory of Inductive Inference", Information and Control, vol. 7, no. 1, pp. 1-22, 1964.
5. M. Li and P.M.B. Vitányi, "An Introduction to Kolmogorov Complexity and Its Applications", Chapters 2 and 8, Springer, 1997.
6. M. Li, X. Chen, X. Li, B. Ma, and P.M.B. Vitányi, "The Similarity Metric", IEEE Trans. Inf. Theory, vol. 50, No. 12, pp. 3250-3264, 2004.
7. D. Benedetto, E. Caglioti, and V. Loreto, "Language trees and zipping", Phys. Rev. Lett., vol. 88, no.4, 2002.
8. N. K. Vereshchagin and P. Vitányi, "Kolmogorov's structure functions and model selection", IEEE Trans. Inf. Theory, vol. 50, pp. 3265-3290, 2004.
9. X. Chen, B. Francia, M. Li, B. McKinnon and A. Seker, "Shared Information and Program Plagiarism detection", IEEE Trans. Inf. Theory, vol. 50, no. 7, pp. 1545-1551, July 2004.
10. D. Cerra and M. Datcu, "A Model Conditioned Data Compression Based Similarity Measure", DCC 2008, p. 509.
11. R. Cilibrasi and P.M.B. Vitányi, "Clustering by Compression", IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1523-1545, 2005.
12. E. J. Keogh, S. Lonardi, C. Ratanamahatana, "Towards Parameter-Free Data Mining", SIGKDD 2004.
13. G. J. Chaitin, "Algorithmic information theory", IBM J. Research Develop. n. 21, pp. 350-359, 496, 1977.
14. David J.C. MacKay, "Information Theory, Inference, and Learning Algorithms", Chapter 2, Cambridge University Press, 2003.
15. S. Kullback and R. A. Leibler, "On Information and Sufficiency", Annals of Mathematical Statistics, vol. 22, No. 1, pp. 79-86, 1951.
16. Welch, T. A., "A technique for high-performance data compression", Computer, vol. 17, pp. 8-19, 1984.
17. http://www.liberliber.it.
18. D. Cerra and M. Datcu, "Algorithmic Information Theory based Analysis of Earth Observation Images: an Assessment", IEEE Geosci. Rem. Sens. Letters, 2009, in press.