메뉴 건너뛰기




Volumn 43, Issue 4, 1997, Pages 1276-1280

A general minimax result for relative entropy

Author keywords

Bayes risk; Channel capacity; Computational learning theory; Density estimation; Kullback leibler divergence; Minimax redundancy; Minimax risk; Minimax theorem; Relative entropy; Source coding

Indexed keywords

CHANNEL CAPACITY; PROBABILITY; RANDOM PROCESSES; SET THEORY; SIGNAL ENCODING;

EID: 0031190750     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.605594     Document Type: Article
Times cited : (63)

References (19)
  • 1
    • 0024079005 scopus 로고
    • A bound on the financial value of information
    • A. Barren and T. Cover, "A bound on the financial value of information," IEEE Trans. Inform. Theory, vol. 34, pp. 1097-1100, 1988.
    • (1988) IEEE Trans. Inform. Theory , vol.34 , pp. 1097-1100
    • Barren, A.1    Cover, T.2
  • 2
    • 0011115920 scopus 로고
    • An extension of Wald's theory of statistical decision functions
    • L. L. Cam, "An extension of Wald's theory of statistical decision functions," Ann. Math. Statist., vol. 26, pp. 69-81, 1955.
    • (1955) Ann. Math. Statist. , vol.26 , pp. 69-81
    • Cam, L.L.1
  • 3
    • 0025430804 scopus 로고
    • Information-theoretic asymptotics of Bayes methods
    • B. Clarke and A. Barron, "Information-theoretic asymptotics of Bayes methods," IEEE Trans. Inform. Theory, vol. 36, pp. 453-471, 1990.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 453-471
    • Clarke, B.1    Barron, A.2
  • 4
    • 0002138061 scopus 로고
    • Jefferys prior is asymptotically least favorable under entropy risk
    • _, "Jefferys" prior is asymptotically least favorable under entropy risk," J. Statist. Planning Infer., vol. 41, pp. 37-60, 1994.
    • (1994) J. Statist. Planning Infer. , vol.41 , pp. 37-60
  • 6
    • 0015681549 scopus 로고
    • Universal noisless coding
    • L. Davisson, "Universal noisless coding," IEEE Trans. Inform. Theory, vol. IT-19, pp. 783-795, 1973.
    • (1973) IEEE Trans. Inform. Theory , vol.IT-19 , pp. 783-795
    • Davisson, L.1
  • 7
    • 0018998365 scopus 로고
    • A source matching approach to finding minimax codes
    • L. Davisson and A. Leon-Garcia, "A source matching approach to finding minimax codes," IEEE Trans. Inform. Theory, vol. IT-26, pp. 166-174, 1980.
    • (1980) IEEE Trans. Inform. Theory , vol.IT-26 , pp. 166-174
    • Davisson, L.1    Leon-Garcia, A.2
  • 9
    • 0018489220 scopus 로고
    • Information contained in a sequence of observations
    • S. Y. Efroimovich, "Information contained in a sequence of observations," Probl. Inform. Transm., vol. 15, pp. 178-189, 1980.
    • (1980) Probl. Inform. Transm. , vol.15 , pp. 178-189
    • Efroimovich, S.Y.1
  • 11
    • 0004141199 scopus 로고
    • Source coding with side information and universal coding
    • MIT Lab. Inform. Decision Syst., Cambridge, MA
    • R. Gallager, "Source coding with side information and universal coding," Tech. Rep. LIDS-P-937, MIT Lab. Inform. Decision Syst., Cambridge, MA, 1979.
    • (1979) Tech. Rep. LIDS-P-937
    • Gallager, R.1
  • 13
    • 0028132501 scopus 로고
    • Bounds on the sample complexity of Bayesian learning using information theory and the Vapnik-Chervonenkis dimension
    • D. Haussler, M. Kearns, and R. E. Schapire, "Bounds on the sample complexity of Bayesian learning using information theory and the Vapnik-Chervonenkis dimension," Mach. Learn., vol. 14, no. 1, pp. 83-113, 1994.
    • (1994) Mach. Learn. , vol.14 , Issue.1 , pp. 83-113
    • Haussler, D.1    Kearns, M.2    Schapire, R.E.3
  • 14
    • 0039894860 scopus 로고    scopus 로고
    • Mutual information, metric entropy, and risk in estimation of probability distributions
    • Tech. Rep. UCSC-CRL-96-27, Univ. of Calif., Comp. Res. Lab, Santa Cruz, CA, Shortened version to be published in
    • D. Haussler and M. Opper, "Mutual information, metric entropy, and risk in estimation of probability distributions," Tech. Rep. UCSC-CRL-96-27, Univ. of Calif., Comp. Res. Lab, Santa Cruz, CA, 1996. Shortened version to be published in Ann. Statist.
    • (1996) Ann. Statist.
    • Haussler, D.1    Opper, M.2
  • 16
    • 0029304928 scopus 로고
    • A strong version of the redundancy-capacity theorem of universal coding
    • May
    • N. Merhav and M. Feder, "A strong version of the redundancy-capacity theorem of universal coding," IEEE Trans. Inform. Theory, vol. 41, pp. 714-722, May 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 714-722
    • Merhav, N.1    Feder, M.2
  • 18
    • 0016535470 scopus 로고
    • Random coding strategies for minimum entropy
    • E. Posner, "Random coding strategies for minimum entropy," IEEE Trans. Inform. Theory, vol. IT-21, pp. 388-391, 1975.
    • (1975) IEEE Trans. Inform. Theory , vol.IT-21 , pp. 388-391
    • Posner, E.1
  • 19
    • 35848933182 scopus 로고    scopus 로고
    • A minimax result for the Kullback Leibler Bayes risk
    • to be published in
    • J. Krob and H. Scholl, "A minimax result for the Kullback Leibler Bayes risk," Econ. Quality Contr., to be published in 1997.
    • (1997) Econ. Quality Contr.
    • Krob, J.1    Scholl, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.