-
1
-
-
0035397522
-
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
-
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
-
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
-
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
-
-
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
-
-
0004226052
-
-
de Gruyter, Berlin/New York
-
H. Bauer, Probability Theory (de Gruyter, Berlin/New York, 1996).
-
(1996)
Probability Theory
-
-
Bauer, H.1
-
8
-
-
0346936077
-
-
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
-
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
-
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
-
15
-
-
0001106056
-
Computation at the onset of chaos
-
W. H. Zurek, ed. (Addison-Wesley, Reading)
-
J. P. Crutchfield and K. Young, Computation at the onset of chaos, in Complexity, Entropy, and the Physics of Information, W. H. Zurek, ed. (Addison-Wesley, Reading, 1990).
-
(1990)
Complexity, Entropy, and the Physics of Information
-
-
Crutchfield, J.P.1
Young, K.2
-
16
-
-
0000147795
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
34
-
-
0030530757
-
Mutual information of Ising systems
-
H. Matsuda, K. Kudo, R. Nakamura, O. Yamakawa, and T. Murata, Mutual information of Ising systems, Internat. J. Theoret. Phys. 35:839-845 (1996).
-
(1996)
Internat. J. Theoret. Phys.
, vol.35
, pp. 839-845
-
-
Matsuda, H.1
Kudo, K.2
Nakamura, R.3
Yamakawa, O.4
Murata, T.5
-
37
-
-
3543145997
-
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
-
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
-
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
-
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
|