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Volumn 43, Issue 6, 1997, Pages 1924-1934

A framework for linear information inequalities

Author keywords

Entropy; I Measure; Information identities; Information inequalities; Mutual information

Indexed keywords

COMPUTER SOFTWARE; DATA COMMUNICATION SYSTEMS; PROBABILITY; THEOREM PROVING; WIDE AREA NETWORKS;

EID: 0031268521     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.641556     Document Type: Article
Times cited : (161)

References (30)
  • 3
    • 0002384709 scopus 로고
    • Conditional independence in statistical theory
    • A. P. Dawid, "Conditional independence in statistical theory (with discussion)," J. Roy. Statist. Soc., Ser. B, vol. 41, pp. 1-31, 1979.
    • (1979) J. Roy. Statist. Soc., Ser. B , vol.41 , pp. 1-31
    • Dawid, A.P.1
  • 4
    • 0016647198 scopus 로고
    • Linear dependence structure of the entropy space
    • T. S. Han, "Linear dependence structure of the entropy space," Inform. Contr. vol. 29, pp. 337-368, 1975.
    • (1975) Inform. Contr. , vol.29 , pp. 337-368
    • Han, T.S.1
  • 5
    • 0001049514 scopus 로고
    • Nonnegative entropy measures of multivariate symmetric correlations
    • _, "Nonnegative entropy measures of multivariate symmetric correlations," Inform. Contr., vol. 36, pp. 133-156, 1978.
    • (1978) Inform. Contr. , vol.36 , pp. 133-156
  • 6
    • 0345666041 scopus 로고
    • A uniqueness of Shannon's information distance and related nonnegativity problems
    • _, "A uniqueness of Shannon's information distance and related nonnegativity problems," J. Combin., Inform. Syst. Sci., vol. 6, no. 4, pp. 320-331, 1981.
    • (1981) J. Combin., Inform. Syst. Sci. , vol.6 , Issue.4 , pp. 320-331
  • 7
    • 0026866128 scopus 로고
    • The structure of the I-Measure of a Markov chain
    • May
    • T. Kawabata and R. W. Yeung, "The structure of the I-Measure of a Markov chain," IEEE Trans. Inform. Theory, vol. 38, pp. 1146-1149, May 1992.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 1146-1149
    • Kawabata, T.1    Yeung, R.W.2
  • 8
    • 0029183313 scopus 로고
    • Determining the independence of random variables
    • Whistler, BC, Canada, Sept. 17-22
    • J. L. Massey, "Determining the independence of random variables," in 1995 IEEE Int. Symp. on Information Theory (Whistler, BC, Canada, Sept. 17-22, 1995).
    • (1995) 1995 IEEE Int. Symp. on Information Theory
    • Massey, J.L.1
  • 9
    • 34648824501 scopus 로고
    • Causal interpretations of random variables
    • Special session in honor of Mark Pinsker on the occasion of his 70th birthday Whistler, BC, Canada, Sept. 17-22
    • _, "Causal interpretations of random variables," in 1995 IEEE Int. Symp. on Information Theory (Special session in honor of Mark Pinsker on the occasion of his 70th birthday) (Whistler, BC, Canada, Sept. 17-22, 1995).
    • (1995) 1995 IEEE Int. Symp. on Information Theory
  • 10
    • 0026137603 scopus 로고
    • Abstract functional dependency structures
    • F. Matúš, "Abstract functional dependency structures," Theor. Comput. Sci., vol. 81, pp. 117-126, 1991.
    • (1991) Theor. Comput. Sci. , vol.81 , pp. 117-126
    • Matúš, F.1
  • 11
    • 0007225314 scopus 로고
    • On equivalence of Markov properties over undirected graphs
    • _, "On equivalence of Markov properties over undirected graphs," J. Appl. Probab., vol. 29, pp. 745-749, 1992.
    • (1992) J. Appl. Probab. , vol.29 , pp. 745-749
  • 13
    • 0028062522 scopus 로고
    • Probabilistic conditional independence structures and matroid theory: Background
    • _, "Probabilistic conditional independence structures and matroid theory: Background," Int. J. General Syst., vol. 22, pp. 185-196, 1994.
    • (1994) Int. J. General Syst. , vol.22 , pp. 185-196
  • 14
    • 0041692106 scopus 로고
    • Extreme convex set functions with many nonnegative differences
    • _, "Extreme convex set functions with many nonnegative differences," Discr. Math., vol. 135, pp. 177-191, 1994.
    • (1994) Discr. Math. , vol.135 , pp. 177-191
  • 15
    • 34648836215 scopus 로고    scopus 로고
    • Conditional independence among four random variables II
    • to be published
    • _, "Conditional independence among four random variables II," Combin., Prob. Comput., to be published.
    • Combin., Prob. Comput.
  • 16
    • 34648812905 scopus 로고    scopus 로고
    • Conditional independence structures examined via minors
    • submitted for publication
    • _, "Conditional independence structures examined via minors," Ann. Math. Artificial Intell., submitted for publication.
    • Ann. Math. Artificial Intell.
  • 17
    • 84866213858 scopus 로고    scopus 로고
    • Conditional independence among four random variables i
    • to be published
    • F. Matúš and M. Studený, "Conditional independence among four random variables I," Combin., Prob. Comput., to be published.
    • Combin., Prob. Comput.
    • Matúš, F.1    Studený, M.2
  • 20
    • 0004784619 scopus 로고
    • Attempts at axiomatic description of conditional independence
    • Proc. Work, on Uncertainty Processing in Expert Systems, supplement
    • M. Studený, "Attempts at axiomatic description of conditional independence," in Proc. Work, on Uncertainty Processing in Expert Systems, supplement to Kybernetika, vol. 25, nos. 1-3, pp. 65-72, 1989.
    • (1989) Kybernetika , vol.25 , Issue.1-3 , pp. 65-72
    • Studený, M.1
  • 21
    • 0024943740 scopus 로고
    • Multiinformation and the problem of characterization of conditional independence relations
    • _, "Multiinformation and the problem of characterization of conditional independence relations," Probl. Contr. and Inform. Theory, vol. 18, pp. 3-16, 1989.
    • (1989) Probl. Contr. and Inform. Theory , vol.18 , pp. 3-16
  • 23
    • 34648812904 scopus 로고    scopus 로고
    • Structural semigraphoids
    • submitted for publication
    • _, "Structural semigraphoids," Int. J. Gen. Syst., submitted for publication.
    • Int. J. Gen. Syst.
  • 24
    • 34648830739 scopus 로고    scopus 로고
    • Descriptions of structures of stochastic independence by means of faces and imsets (in three parts)
    • submitted for publication
    • _, "Descriptions of structures of stochastic independence by means of faces and imsets (in three parts)," Int. J. Gen. Syst., submitted for publication.
    • Int. J. Gen. Syst.
  • 25
    • 0026155039 scopus 로고
    • A new outlook on Shannon's information measures
    • May
    • _, "A new outlook on Shannon's information measures," IEEE Trans. Inform. Theory, vol. 37, pp. 466-474, May 1991.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 466-474
  • 26
    • 0029277777 scopus 로고
    • Multilevel diversity coding with distortion
    • Mar.
    • _, "Multilevel diversity coding with distortion," IEEE Trans. Inform. Theory, vol. 41, pp. 412-422, Mar. 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 412-422
  • 27
    • 84866216089 scopus 로고    scopus 로고
    • ITIP, [Online]
    • R. W. Yeung and Y.-O. Yan, ITIP, [Online] Available WWW: http://www.ie.cuhk.edu.hk/̃ITIP.
    • Yeung, R.W.1    Yan, Y.-O.2
  • 30
    • 34648836216 scopus 로고    scopus 로고
    • On the characterization of entropy function via information inequalities
    • _, "On the characterization of entropy function via information inequalities," to be published in IEEE Trans. Inform. Theory.
    • IEEE Trans. Inform. Theory


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.