-
3
-
-
0039950626
-
On quantum measurements and the role of the uncertainty relations in statistical mechanics
-
W.M. Elsasser On quantum measurements and the role of the uncertainty relations in statistical mechanics Phys. Rev. 52 1937 987 999
-
(1937)
Phys. Rev.
, vol.52
, pp. 987-999
-
-
Elsasser, W.M.1
-
4
-
-
11944266539
-
Information theory and statistical mechanics
-
E.T. Jaynes Information theory and statistical mechanics Phys. Rev. 106 4 1957 620 630
-
(1957)
Phys. Rev.
, vol.106
, Issue.4
, pp. 620-630
-
-
Jaynes, E.T.1
-
5
-
-
33646516485
-
Possible generalization of Boltzmann Gibbs statistics
-
C. Tsallis Possible generalization of Boltzmann Gibbs statistics J. Statist. Phys. 52 1988 479
-
(1988)
J. Statist. Phys.
, vol.52
, pp. 479
-
-
Tsallis, C.1
-
6
-
-
0030288972
-
Generalized simulated annealing
-
C. Tsallis, and D.A. Stariolo Generalized simulated annealing Physica A 233 1996 345 406
-
(1996)
Physica A
, vol.233
, pp. 345-406
-
-
Tsallis, C.1
Stariolo, D.A.2
-
7
-
-
0000557971
-
Generalized entropy-based criterion for consistent testing
-
C. Tsallis Generalized entropy-based criterion for consistent testing Phys. Rev. E 58 1998 1442 1445
-
(1998)
Phys. Rev. E
, vol.58
, pp. 1442-1445
-
-
Tsallis, C.1
-
8
-
-
6344233628
-
Nonextensive statistical mechanics for hybrid learning of neural networks
-
A.D. Anastasiadis, and G.D. Magoulas Nonextensive statistical mechanics for hybrid learning of neural networks Physica A 344 2004 372 382
-
(2004)
Physica A
, vol.344
, pp. 372-382
-
-
Anastasiadis, A.D.1
Magoulas, G.D.2
-
9
-
-
3943050051
-
Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy
-
H. Suyari Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy IEEE Trans. Inf. Theory 50 8 2004 1783 1787
-
(2004)
IEEE Trans. Inf. Theory
, vol.50
, Issue.8
, pp. 1783-1787
-
-
Suyari, H.1
-
10
-
-
0019586465
-
Properties of cross-entropy minimization
-
J.E. Shore Properties of cross-entropy minimization IEEE Trans. Inf. Theory IT-27 4 1981 472 482
-
(1981)
IEEE Trans. Inf. Theory
, vol.IT-27
, Issue.4
, pp. 472-482
-
-
Shore, J.E.1
-
11
-
-
0000546609
-
I-divergence of probability distributions and minimization problems
-
I. Csiszár I-divergence of probability distributions and minimization problems Ann. Probab. 3 1 1975 146 158
-
(1975)
Ann. Probab.
, vol.3
, Issue.1
, pp. 146-158
-
-
Csiszár, I.1
-
12
-
-
7544237237
-
On minimization and maximization of entropy in various disciplines
-
A.S. Cherney, and V.P. Maslov On minimization and maximization of entropy in various disciplines SIAM J. Theory Probab. Appl. 48 3 2004 447 464
-
(2004)
SIAM J. Theory Probab. Appl.
, vol.48
, Issue.3
, pp. 447-464
-
-
Cherney, A.S.1
Maslov, V.P.2
-
13
-
-
0018877134
-
Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
-
J.E. Shore, and R.W. Johnson Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy IEEE Trans. Inf. Theory IT-26 1 1980 26 37
-
(1980)
IEEE Trans. Inf. Theory
, vol.IT-26
, Issue.1
, pp. 26-37
-
-
Shore, J.E.1
Johnson, R.W.2
-
15
-
-
0019914404
-
Minimum cross-entropy pattern classification and cluster analysis
-
J.E. Shore, and R.M. Gray Minimum cross-entropy pattern classification and cluster analysis IEEE Trans. Pattern Anal. Mach. Intell. 4 1 1982 11 18
-
(1982)
IEEE Trans. Pattern Anal. Mach. Intell.
, vol.4
, Issue.1
, pp. 11-18
-
-
Shore, J.E.1
Gray, R.M.2
-
18
-
-
0003372875
-
Methods of information geometry
-
Oxford University Press, Oxford
-
S. Amari, H. Nagaoka, Methods of Information Geometry, Translations of Mathematical Monographs, vol. 191, Oxford University Press, Oxford, 2000.
-
(2000)
Translations of Mathematical Monographs
, vol.191
-
-
Amari, S.1
Nagaoka, H.2
-
19
-
-
0032299256
-
The role of constraints within generalized nonextensive statistics
-
C. Tsallis, R.S. Mendes, and A.R. Plastino The role of constraints within generalized nonextensive statistics Physica A 261 1998 534 554
-
(1998)
Physica A
, vol.261
, pp. 534-554
-
-
Tsallis, C.1
Mendes, R.S.2
Plastino, A.R.3
-
20
-
-
0001164531
-
From Gibbs microcanonical ensemble to Tsallis generalized canonical distribution
-
A. Plastino, and A.R. Plastino From Gibbs microcanonical ensemble to Tsallis generalized canonical distribution Phys. Lett. A 193 1994 140
-
(1994)
Phys. Lett. A
, vol.193
, pp. 140
-
-
Plastino, A.1
Plastino, A.R.2
-
21
-
-
0032337028
-
Information gain within nonextensive thermostatistics
-
L. Borland, A.R. Plastino, and C. Tsallis Information gain within nonextensive thermostatistics J. Math. Phys. 39 12 1998 6490 6501
-
(1998)
J. Math. Phys.
, vol.39
, Issue.12
, pp. 6490-6501
-
-
Borland, L.1
Plastino, A.R.2
Tsallis, C.3
-
22
-
-
13644258051
-
Fundamental properties of Tsallis relative entropy
-
S. Furuichi, K. Yanagi, and K. Kuriyama Fundamental properties of Tsallis relative entropy J. Math. Phys. 45 2004 4868 4877
-
(2004)
J. Math. Phys.
, vol.45
, pp. 4868-4877
-
-
Furuichi, S.1
Yanagi, K.2
Kuriyama, K.3
-
23
-
-
0011534079
-
A new theorem of information theory
-
A. Hobson A new theorem of information theory J. Statist. Phys. 1 1969 383 391
-
(1969)
J. Statist. Phys.
, vol.1
, pp. 383-391
-
-
Hobson, A.1
-
25
-
-
36149028516
-
Generalized statistical mechanics: Connections with thermodynamics
-
E.M.F. Curado, and C. Tsallis Generalized statistical mechanics: connections with thermodynamics J. Phys. A: Math. Gen. 24 1991 69 72
-
(1991)
J. Phys. A: Math. Gen.
, vol.24
, pp. 69-72
-
-
Curado, E.M.F.1
Tsallis, C.2
-
26
-
-
0000428659
-
What are the numbers that experiments provide?
-
C. Tsallis What are the numbers that experiments provide? Quim. Nova 17 1994 468
-
(1994)
Quim. Nova
, vol.17
, pp. 468
-
-
Tsallis, C.1
-
27
-
-
0037086379
-
Some properties of q-logarithm and q-exponential functions in Tsallis statistics
-
T. Yamano Some properties of q-logarithm and q-exponential functions in Tsallis statistics Physica A 305 2002 486 496
-
(2002)
Physica A
, vol.305
, pp. 486-496
-
-
Yamano, T.1
-
28
-
-
0347129811
-
Generalized algebra within a nonextensive statistics
-
L. Nivanen, A.L. Méhauté, and Q.A. Wang Generalized algebra within a nonextensive statistics Rep. Math. Phys. 52 2003 434 437
-
(2003)
Rep. Math. Phys.
, vol.52
, pp. 434-437
-
-
Nivanen, L.1
Méhauté, A.L.2
Wang, Q.A.3
-
29
-
-
3042773338
-
A possible deformed algebra and calculus inspired in nonextensive thermostatistics
-
E.P. Borges A possible deformed algebra and calculus inspired in nonextensive thermostatistics Physica A 340 2004 95 101
-
(2004)
Physica A
, vol.340
, pp. 95-101
-
-
Borges, E.P.1
-
30
-
-
13444292288
-
Law of error in Tsallis statistics
-
H. Suyari, and M. Tsukada Law of error in Tsallis statistics IEEE Trans. Inf. Theory 51 2 2005 753 757
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, Issue.2
, pp. 753-757
-
-
Suyari, H.1
Tsukada, M.2
-
31
-
-
0000672234
-
On the universality of thermodynamics' Legendre transform structure
-
A. Plastino, and A.R. Plastino On the universality of thermodynamics' Legendre transform structure Phys. Lett. A 226 1997 257 263
-
(1997)
Phys. Lett. A
, vol.226
, pp. 257-263
-
-
Plastino, A.1
Plastino, A.R.2
-
32
-
-
0031211409
-
Some general relations in arbitrary thermostatistics
-
R.S. Mendes Some general relations in arbitrary thermostatistics Physica A 242 1997 299 308
-
(1997)
Physica A
, vol.242
, pp. 299-308
-
-
Mendes, R.S.1
|