메뉴 건너뛰기




Volumn 115, Issue 3-4, 2004, Pages 949-976

Multi-information in the thermodynamic limit

Author keywords

Complexity; Excess entropy; Ising model; Mutual information; Phase transitions

Indexed keywords


EID: 3543067020     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000022375.49904.ea     Document Type: Article
Times cited : (18)

References (43)
  • 1
    • 0035397522 scopus 로고    scopus 로고
    • Information geometry on hierarchy of probability distributions
    • S. Amari, Information geometry on hierarchy of probability distributions, IEEE Trans. Inform. Theory 47:1701-1711 (2001).
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 1701-1711
    • Amari, S.1
  • 3
    • 0002087460 scopus 로고    scopus 로고
    • Information-theoretic analysis of phase transitions
    • D. V. Arnold, Information-theoretic analysis of phase transitions, Complex Systems 10:143-155 (1996).
    • (1996) Complex Systems , vol.10 , pp. 143-155
    • Arnold, D.V.1
  • 4
    • 0035995574 scopus 로고    scopus 로고
    • An information geometric approach to a theory of pragmatic structuring
    • N. Ay, An information geometric approach to a theory of pragmatic structuring, Ann. Probab. 30:416-436 (2002).
    • (2002) Ann. Probab. , vol.30 , pp. 416-436
    • Ay, N.1
  • 5
    • 0036886281 scopus 로고    scopus 로고
    • Locality of global stochastic interaction in directed acyclic networks
    • N. Ay, Locality of global stochastic interaction in directed acyclic networks, Neural Comput. 14:2959-2980 (2002).
    • (2002) Neural Comput. , vol.14 , pp. 2959-2980
    • Ay, N.1
  • 6
    • 3543068760 scopus 로고    scopus 로고
    • Max-Planck-Institute of Mathematics in the Sciences, Preprint No. 42/2003
    • N. Ay and A. Knauf, Maximizing Multi-Information, Max-Planck-Institute of Mathematics in the Sciences, Preprint No. 42/2003 (2003).
    • (2003) Maximizing Multi-Information
    • Ay, N.1    Knauf, A.2
  • 7
  • 8
    • 0346936077 scopus 로고    scopus 로고
    • preprint Redwood Neuroscience Institute RNI-TR-02-1
    • A. J. Bell, The Co-Information Lattice, preprint Redwood Neuroscience Institute RNI-TR-02-1 (2002).
    • (2002) The Co-Information Lattice
    • Bell, A.J.1
  • 9
    • 0035514587 scopus 로고    scopus 로고
    • Predictability, complexity, and learning
    • W. Bialek, I. Nemenman, and N. Tishby, Predictability, complexity, and learning, Neural Comput. 13:2409-2463 (2001).
    • (2001) Neural Comput. , vol.13 , pp. 2409-2463
    • Bialek, W.1    Nemenman, I.2    Tishby, N.3
  • 10
    • 0035364750 scopus 로고    scopus 로고
    • Multiscale analysis of complex systems
    • P. M. Binder and J. Plazas, Multiscale analysis of complex systems, Phys. Rev. E 63:065203R (2001).
    • (2001) Phys. Rev. E , vol.63
    • Binder, P.M.1    Plazas, J.2
  • 16
    • 0000147795 scopus 로고    scopus 로고
    • Statistical complexity of simple one-dimensional spin systems
    • J. P. Crutchfield and D. P. Feldman, Statistical complexity of simple one-dimensional spin systems, Phys. Rev. E 55:R1239-R1242 (1997).
    • (1997) Phys. Rev. E , vol.55
    • Crutchfield, J.P.1    Feldman, D.P.2
  • 17
    • 0037357392 scopus 로고    scopus 로고
    • Regularities unseen, randomness observed: Levels of entropy convergence
    • J. P. Crutchfield and D. P. Feldman, Regularities unseen, randomness observed: Levels of entropy convergence, Chaos 13:25-54 (2003).
    • (2003) Chaos , vol.13 , pp. 25-54
    • Crutchfield, J.P.1    Feldman, D.P.2
  • 18
    • 0000080779 scopus 로고
    • The description of a random field by means of conditional probabilities and condition of its regularities
    • R. L. Dobrushin, The description of a random field by means of conditional probabilities and condition of its regularities, Theory Probab. Appl. 13:458-486 (1968).
    • (1968) Theory Probab. Appl. , vol.13 , pp. 458-486
    • Dobrushin, R.L.1
  • 19
    • 0031275989 scopus 로고    scopus 로고
    • Prediction and entropy of nonlinear dynamical systems and symbolic sequences with LRO
    • W. Ebeling, Prediction and entropy of nonlinear dynamical systems and symbolic sequences with LRO, Physica D 109:42-52 (1997).
    • (1997) Physica D , vol.109 , pp. 42-52
    • Ebeling, W.1
  • 21
    • 42749100435 scopus 로고    scopus 로고
    • Structural information in two-dimensional patterns: Entropy convergence and excess entropy
    • D. P. Feldman and J. P. Crutchfield, Structural information in two-dimensional patterns: Entropy convergence and excess entropy, Phys. Rev. E 67:051104 (2003).
    • (2003) Phys. Rev. E , vol.67 , pp. 051104
    • Feldman, D.P.1    Crutchfield, J.P.2
  • 23
    • 0042317681 scopus 로고
    • Toward a quantitative theory of self-generated complexity
    • P. Grassberger, Toward a quantitative theory of self-generated complexity, Internat. J. Theoret. Phys. 25:907-938 (1986).
    • (1986) Internat. J. Theoret. Phys. , vol.25 , pp. 907-938
    • Grassberger, P.1
  • 24
    • 0035304880 scopus 로고    scopus 로고
    • Mutual information in a dilute, asymmetric neural network model
    • E. Greenfield and H. Lecar, Mutual information in a dilute, asymmetric neural network model, Phys. Rev. E 63:041905 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 041905
    • Greenfield, E.1    Lecar, H.2
  • 25
    • 0040691961 scopus 로고
    • Introduction to random fields
    • J. G. Kemeney, J. L. Snell, and A. W. Knapp, eds. (Springer, New York/Heidelberg/Berlin
    • D. Griffeath, Introduction to random fields, in Denumerable Markov Chains, J. G. Kemeney, J. L. Snell, and A. W. Knapp, eds. (Springer, New York/Heidelberg/Berlin, 1976).
    • (1976) Denumerable Markov Chains
    • Griffeath, D.1
  • 28
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • E. T. Jaynes, Information theory and statistical mechanics, Phys. Rev. 106:620-630 (1957).
    • (1957) Phys. Rev. , vol.106 , pp. 620-630
    • Jaynes, E.T.1
  • 29
    • 0000702165 scopus 로고
    • Mutual information versus correlation functions
    • W. Li, Mutual information versus correlation functions, J. Stat. Phys. 60:823-837 (1990).
    • (1990) J. Stat. Phys. , vol.60 , pp. 823-837
    • Li, W.1
  • 30
    • 0001177156 scopus 로고
    • On the relationship between complexity and entropy for Markov chains and regular languages
    • W. Li, On the relationship between complexity and entropy for Markov chains and regular languages, Complex Systems 5:381-399 (1991).
    • (1991) Complex Systems , vol.5 , pp. 381-399
    • Li, W.1
  • 31
    • 0023981750 scopus 로고
    • Self-organization in a perceptual network
    • R. Linsker, Self-organization in a perceptual network, IEEE Comput. 21:105-117 (1988).
    • (1988) IEEE Comput. , vol.21 , pp. 105-117
    • Linsker, R.1
  • 32
    • 0000799233 scopus 로고
    • Observables at infinity and states with short range correlations in statistical mechanics
    • O. E. Lanford and D. Ruelle, Observables at infinity and states with short range correlations in statistical mechanics, Comm. Math. Phys. 13:194-215 (1969).
    • (1969) Comm. Math. Phys. , vol.13 , pp. 194-215
    • Lanford, O.E.1    Ruelle, D.2
  • 33
    • 13744262977 scopus 로고    scopus 로고
    • Measuring mutual information in random Boolean networks
    • B. Luque and A. Ferrera, Measuring mutual information in random Boolean networks, Complex Systems 12:241-246 (2001).
    • (2001) Complex Systems , vol.12 , pp. 241-246
    • Luque, B.1    Ferrera, A.2
  • 37
    • 3543145997 scopus 로고    scopus 로고
    • Thermodynamic formalism of neural computing
    • E. Goles and M. Servet, eds. (Kluwer Academic Publishers, Dordrecht/Boston/London
    • D. Petritis, Thermodynamic formalism of neural computing, in Dynamics of Complex Interacting Systems, E. Goles and M. Servet, eds. (Kluwer Academic Publishers, Dordrecht/Boston/London, 1996).
    • (1996) Dynamics of Complex Interacting Systems
    • Petritis, D.1
  • 39
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • C. E. Shannon, A mathematical theory of communication, Bell System Tech. J. 27:379-423, 623-656 (1948).
    • (1948) Bell System Tech. J. , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 41
    • 0041529506 scopus 로고    scopus 로고
    • The multiinformation function as a tool for measuring stochastic dependence
    • M. I. Jordan, ed. (Kluwer, Dordrecht)
    • M. Studeny and J. Vejnarova, The multiinformation function as a tool for measuring stochastic dependence, in Learning in Graphical models, M. I. Jordan, ed. (Kluwer, Dordrecht, 1998).
    • (1998) Learning in Graphical Models
    • Studeny, M.1    Vejnarova, J.2
  • 42
    • 0028245445 scopus 로고
    • A measure for brain complexity: Relating functional segregation and integration in the nervous system
    • G. Tononi, O. Sporns, and G. Edelman, A measure for brain complexity: Relating functional segregation and integration in the nervous system, Proc. Natl. Acad. Sci. USA 91:5033-5037 (1994).
    • (1994) Proc. Natl. Acad. Sci. USA , vol.91 , pp. 5033-5037
    • Tononi, G.1    Sporns, O.2    Edelman, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.