메뉴 건너뛰기




Volumn , Issue , 2008, Pages 303-307

On the entropy of sums

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY POWER; LOWER BOUNDS; POSITIVE-DEFINITE MATRICES; RANDOM VECTORS; SET FUNCTIONS; UPPER BOUNDS;

EID: 51849121580     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ITW.2008.4578674     Document Type: Conference Paper
Times cited : (71)

References (19)
  • 1
    • 51649097397 scopus 로고    scopus 로고
    • Information inequalities for joint distributions, with interpretations and applications
    • Submitted
    • M. Madiman and P. Tetali, "Information inequalities for joint distributions, with interpretations and applications," Submitted, 2007.
    • (2007)
    • Madiman, M.1    Tetali, P.2
  • 2
    • 0001049514 scopus 로고
    • Nonnegative entropy measures of multivariate symmetric correlations
    • T. S. Han, "Nonnegative entropy measures of multivariate symmetric correlations," Information and Control, vol. 36, no. 2, pp. 133-156, 1978.
    • (1978) Information and Control , vol.36 , Issue.2 , pp. 133-156
    • Han, T.S.1
  • 3
    • 0018020371 scopus 로고
    • Polymatroidal dependence structure of a set of random variables
    • S. Fujishige, "Polymatroidal dependence structure of a set of random variables," Information and Control, vol. 39, pp. 55-72, 1978.
    • (1978) Information and Control , vol.39 , pp. 55-72
    • Fujishige, S.1
  • 5
    • 33846088151 scopus 로고    scopus 로고
    • Two constructions on limits of entropy functions
    • F. Matúš, "Two constructions on limits of entropy functions," IEEE Trans. Inform. Theory, vol. 53, no. 1, pp. 320-330, 2007.
    • (2007) IEEE Trans. Inform. Theory , vol.53 , Issue.1 , pp. 320-330
    • Matúš, F.1
  • 6
    • 34447344072 scopus 로고    scopus 로고
    • Generalized entropy power inequalities and monotonicity properties of information
    • July
    • M. Madiman and A. Barron, "Generalized entropy power inequalities and monotonicity properties of information," IEEE Trans. Inform. Theory, vol. 53, no. 7, pp. 2317-2329, July 2007.
    • (2007) IEEE Trans. Inform. Theory , vol.53 , Issue.7 , pp. 2317-2329
    • Madiman, M.1    Barron, A.2
  • 8
    • 0010681155 scopus 로고
    • Compressions and isoperimetric inequalities
    • B. Bollobás and I. Leader, "Compressions and isoperimetric inequalities," J. Combinatorial Theory Ser. A, vol. 56, no. 1, pp. 47-62, 1991.
    • (1991) J. Combinatorial Theory Ser. A , vol.56 , Issue.1 , pp. 47-62
    • Bollobás, B.1    Leader, I.2
  • 9
    • 51849159371 scopus 로고    scopus 로고
    • The entropy of sums of independent random elements
    • Preprint
    • M. Madiman, "The entropy of sums of independent random elements," Preprint, 2008.
    • (2008)
    • Madiman, M.1
  • 10
    • 84940644968 scopus 로고    scopus 로고
    • C. Shannon, A mathematical theory of communication, Bell System Tech. J., 27, pp. 379-423, 623-656, 1948.
    • C. Shannon, "A mathematical theory of communication," Bell System Tech. J., vol. 27, pp. 379-423, 623-656, 1948.
  • 11
    • 12944295719 scopus 로고
    • Some inequalities satisfied by the quantities of information of Fisher and Shannon
    • A. Stam, "Some inequalities satisfied by the quantities of information of Fisher and Shannon," Information and Control, vol. 2, pp. 101-112, 1959.
    • (1959) Information and Control , vol.2 , pp. 101-112
    • Stam, A.1
  • 12
    • 10044228109 scopus 로고    scopus 로고
    • Solution of Shannon's problem on the monotonicity of entropy
    • electronic
    • S. Artstein, K. M. Ball, F. Barthe, and A. Naor, "Solution of Shannon's problem on the monotonicity of entropy," J. Amer. Math. Soc., vol. 17, no. 4, pp. 975-982 (electronic), 2004.
    • (2004) J. Amer. Math. Soc , vol.17 , Issue.4 , pp. 975-982
    • Artstein, S.1    Ball, K.M.2    Barthe, F.3    Naor, A.4
  • 13
    • 0032124111 scopus 로고    scopus 로고
    • On characterization of entropy function via information inequalities
    • J. Zhang and R. Yeung, "On characterization of entropy function via information inequalities," IEEE Trans. Inform. Theory, vol. 44, pp. 1440-1452, 1998.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 1440-1452
    • Zhang, J.1    Yeung, R.2
  • 14
    • 34249811774 scopus 로고    scopus 로고
    • Networks, matroids and non-Shannon information inequalities
    • June
    • R. Dougherty, C. Freiling, and K. Zeger, "Networks, matroids and non-Shannon information inequalities," IEEE Trans. Inform. Theory, vol. 53, no. 6, pp. 1949-1969, June 2007.
    • (2007) IEEE Trans. Inform. Theory , vol.53 , Issue.6 , pp. 1949-1969
    • Dougherty, R.1    Freiling, C.2    Zeger, K.3
  • 15
    • 51649091459 scopus 로고    scopus 로고
    • A simple proof of the entropy-power inequality via properties of mutual information
    • Nice, France, pp
    • O. Rioul, "A simple proof of the entropy-power inequality via properties of mutual information," Proc. IEEE Intl. Symp. Inform. Theory, Nice, France, pp. 46-50, 2007.
    • (2007) Proc. IEEE Intl. Symp. Inform. Theory , pp. 46-50
    • Rioul, O.1
  • 17
    • 0020849106 scopus 로고
    • An information theoretic proof of Hadamard's inequality
    • T. Cover and A. El Gamal, "An information theoretic proof of Hadamard's inequality," IEEE Trans. Inform. Theory, vol. 29, no. 6, pp. 930-931, 1983.
    • (1983) IEEE Trans. Inform. Theory , vol.29 , Issue.6 , pp. 930-931
    • Cover, T.1    El Gamal, A.2
  • 18
    • 84941428932 scopus 로고
    • Information-theoretic inequalities
    • A. Dembo, T. Cover, and J. Thomas, "Information-theoretic inequalities," IEEE Trans. Inform. Theory, vol. 37, no. 6, pp. 1501-1518, 1991.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , Issue.6 , pp. 1501-1518
    • Dembo, A.1    Cover, T.2    Thomas, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.