Tsallis entropy as a lower bound of average description length for the q-generalized code tree

IEEE International Symposium on Information Theory - Proceedings

Volumn , Issue , 2007, Pages 901-905

  Suyari, Hiroki ^a  

^a CHIBA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

LOWER BOUNDS; TSALLIS ENTROPIES;

ARSENIC COMPOUNDS; CONTROL THEORY; CYBERNETICS; INFORMATION THEORY; TECHNICAL PRESENTATIONS;

CODES (SYMBOLS);

EID: 51649088952     PISSN: 21578101     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2007.4557112     Document Type: Conference Paper

References (16)

1. C.E. Shannon, A mathematical theory of communication, Bell Syst. Tech. J., vol.27, pp.379-423, pp.623-656, 1948.
2. T.M. Cover and J.A. Thomas, Elements of information theory, Wiley, New York, 1991, (2nd edition, 2006)
3. L. L. Campbell, Definition of entropy by means of a coding problem, Z. Wahrscheinlichkeitstheorie und verwandte Gebiete, vol.6, pp. 113-118, 1966.
4. M. B. Baer, A general framework for codes involving redundancy minimization, IEEE Trans. Inform. Theory, vol.52, pp.344-349, 2006.
5. M. B. Baer, Source coding for quasiarithmetic penalties, IEEE Trans. Inform. Theory, vol.52, pp.4380-4393, 2006.
6. C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, J. Stat. Phys. vol.52, pp.479-487, 1988.
7. M. Gell-Mann and C. Tsallis, eds., Nonextensive Entropy: Interdisciplinary Applications (Oxford Univ. Press, New York, 2004).
8. H. Suyari, Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy, IEEE Trans. Inform. Theory, vol.50, pp.1783-1787, 2004.
9. H. Suyari and M. Tsukada, Law of error in Tsallis statistics, IEEE Trans. Inform. Theory, vol.51, pp.753-757, 2005.
10. H. Suyari, M. Tsukada and Y. Uesaka, Mathematical structures derived from the q-product uniquely determined by Tsallis entropy, Proc. of the 2005 IEEE Inter. Sym. on Inform. Theory (2005IEEE-ISIT), pp.2364-2368, 2005.
11. H. Suyari, Mathematical structure derived from the q-multinomial coefficient in Tsallis statistics, Physica A, vol.368, pp.63-82, 2006.
12. H. Suyari and T. Wada, Scaling property and Tsallis entropy derived from a fundamental nonlinear differential equation, Proc. of the 2006 Inter. Sym. on Inform. Theory and its Appli. (ISITA2006), pp.75-80, 2006. [LANL e-print cond-mat/0608007]
13. E.T. Jaynes, Information theory and statistical mechanics, Phys. Rev. 106, 620-630 (1957);.E.T. Jaynes, Information theory and statistical mechanics. II, Phys. Rev. 108, 171-190 (1957).
14. A.I. Khinchin, Mathematical Foundations of Information Theory, Dover, New York, 1957.
15. Y. Horibe, Jyouhou entropy ron, Morikita Pub., 1997. (in Japanese)
16. R. Albert and A.-L. Barabasi, Statistical mechanics of complex networks, Review of Modern Physics, vol.74, pp.47-97, 2002.