SCOPUS 정보 검색 플랫폼

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 64, Issue 5 II, 2001, Pages 056131/1-056131/14

Adaptive and self-averaging Thouless-Anderson-Palmer mean-field theory for probabilistic modeling

(2) Opper, M a Winther, O b,c

a ASTON UNIVERSITY (United Kingdom)

b TECHNICAL UNIVERSITY OF DENMARK (Denmark)

c LUND UNIVERSITY (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; MATHEMATICAL MODELS; PROBABILITY;

PROBABILISTIC MODELING; STATISTICAL PHYSICS; THOULESS-ANDERSON-PALMER MEAN FIELD THEORY;

STATISTICAL MECHANICS;

EID: 0035509916 PISSN: 15393755 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevE.64.056131 Document Type: Article

Times cited : (120)

References (44)

1
- 0003571050
- Lecture Notes in Physics; (World Scientific, Singapore)
- (1987) Spin Glass Theory and Beyond , vol.9
- Mézard, M.¹ Parisi, G.² Virasoro, M.A.³

2
- 84996241537
- (1977) Philos. Mag. , vol.35 , pp. 593
- Thouless, D.J.¹ Anderson, P.W.² Palmer, R.G.³

3
- 4444384303
- (1975) Phys. Rev. Lett. , vol.35 , pp. 1792
- Sherrington, D.¹ Kirkpatrick, K.²

4
- 0040452563
- (1980) Phys. Rep. , vol.67 , pp. 37
- De Dominicis, C.¹

5
- 0004283231
- edited by M. Jordan (MIT Press, Cambridge, MA)
- (1999) Learning in Graphical Models

6
- 0003391330
- (Kaufmann, San Francisco)
- (1988) Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference
- Pearl, J.¹

7
- 0004201631
- (Kluwer Academic, Boston)
- (1998) Independent Component Analysis
- Lee, T.-W.¹

8
- 0034320350
- (2000) Neural Comput. , vol.12 , pp. 2655
- Opper, M.¹ Winther, O.²

9
- 0020500587
- (IEEE Press, New York)
- (1983) Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition Washington, 1983 , pp. 448
- Hinton, G.E.¹ Sejnowski, T.J.²

10
- 36149037182
- (1989) J. Phys. A , vol.22 , pp. 2181
- Mézard, M.¹

11
- 84956248948
- (1995) Europhys. Lett. , vol.30 , pp. 245
- Wong, K.Y.M.¹

12
- 0000286518
- (1996) Phys. Rev. Lett. , vol.76 , pp. 1964
- Opper, M.¹ Winther, O.²

13
- 0001000562
- (1998) Neural Comput. , vol.10 , pp. 1137
- Kappen, H.J.¹ Rodríguez, F.B.²

14
- 0001143296
- (1998) Phys. Rev. E , vol.58 , pp. 2302
- Tanaka, T.¹

15
- 0032344980
- (1998) Europhys. Lett. , vol.44 , pp. 668
- Kabashima, Y.¹ Saad, D.²

16
- 0004059061
- edited by M. Opper and D. Saad (MIT Press, Cambridge, MA)
- (2001) Advanced Mean Field Methods, Theory and Practice

17
- 0020118274
- (1982) Proc. Natl. Acad. Sci. U.S.A. , vol.79 , pp. 2554
- Hopfield, J.J.¹

18
- 0001051762
- (1982) J. Phys. A , vol.15 , pp. 1971
- Plefka, T.¹

19
- 0006886165
- (2000) J. Phys. A , vol.10 , pp. 1307
- Bhattacharyya, C.¹ Keerthi, S.S.²

20
- 0347239886
- (Ref. [16])
- Advanced Mean Field Methods Theory and Practice
- Amari, S.¹ Ikeda, S.² Shimokawa, H.³

21
- 29444441359
- (Ref. [16])
- Advanced Mean Field Methods, Theory and Practice
- Kappen, H.J.¹ Wiegerinck, W.²

22
- 0035938135
- (2001) Phys. Rev. Lett. , vol.86 , pp. 3695
- Opper, M.¹ Winther, O.²

23
- 0347058873
- (1985) J. Phys. (France) Lett. , vol.46 , pp. L771
- Mézard, M.¹ Parisi, G.²

24
- 0003905755
- University of Cambridge, Cavendish Laboratory, Draft 3.7; (unpublished)
- (1996) Maximum Likelihood and Covariant Algorithms for Independent Component Analysis
- MacKay, D.J.C.¹

25
- 44049116681
- (1992) Artif. Intel. , vol.56 , pp. 71
- Neal, R.¹

26
- 0029679189
- (1996) J. Artif. Intell. Res. , vol.4 , pp. 61
- Saul, L.K.¹ Jaakkola, T.² Jordan, M.I.³

27
- 0000015038
- (1993) Neural Comput. , vol.5 , pp. 331
- Ohlsson, M.¹ Peterson, C.² Söderberg, B.³

28
- 0004059061
- (Ref. [16])
- Advanced Mean Field Methods Theory and Practice
- Kabashima, Y.¹ Saad, D.²

29
- 84899012889
- edited by M. S. Kearns, S. A. Solla, and D. A. Cohn (MIT Press, Cambridge, MA)
- (1999) Advances in Neura Information Processing Systems , vol.11 , pp. 280
- Kappen, H.J.¹ Rodríguez, F.B.²

30
- 0001084486
- (1993) J. Phys. A , vol.28 , pp. 5267
- Parisi, G.¹ Potters, M.²

31
- 0003474751
- (Cambridge University Press, Cambridge, England)
- (1992) Numerical Recipes in C , pp. 77
- Press, W.H.¹ Teukolsky, S.A.² Vetterling, W.T.³ Flannery, B.F.⁴

32
- 21844487054
- (1994) J. Phys. A , vol.27 , pp. 7647
- Marinari, E.¹ Parisi, G.² Ritort, F.³

33
- 36149042419
- (1980) J. Phys. C , vol.13 , pp. L469
- Bray, A.J.¹ Moore, M.A.²

34
- 0023843391
- (1988) Neural Networks , vol.1 , pp. 75
- Gorman, R.P.¹ Sejnowski, T.J.²

35
- 0000214133
- edited by T. K. Leen, T. G. Diettrich, and V. Tresp (MIT Press, Cambridge, MA)
- (2001) Advances in Neural Information Processing Systems , vol.13 , pp. 315
- Tanaka, T.¹

36
- 0000755030
- (1992) Phys. Rev. A , vol.45 , pp. 6056
- Seung, H.S.¹ Sompolinsky, H.² Tishby, N.³

37
- 0004059061
- (Ref. [16])
- Advanced Mean Field Methods, Theory and Practice
- Yedidia, J.¹

38
- 0003879832
- (Ref. [35])
- Advances in Neural Information Processing Systems , pp. 689
- Yedidia, J.S.¹ Freeman, W.T.² Weiss, Y.³

39
- 6244242863
- (1996) Phys. Rev. Lett. , vol.77 , pp. 4671
- Opper, M.¹

40
- 0006885798
- edited by D. Saad (Cambridge University Press, Cambridge, England)
- (1998) On-Line Learning in Neural Networks , pp. 363
- Opper, M.¹

41
- 0004069068
- (Ref. [40])
- On-Line Learning in Neural Networks , pp. 379
- Solla, S.A.¹ Winther, O.²

42
- 0001609938
- edited by S. A. Solla, T. K. Leen, and K.-R. Müller (MIT Press, Cambridge, MA)
- (2000) Advances in Neural Information Processing Systems , vol.12 , pp. 251-257
- Csató, L.¹ Fokoué, E.² Opper, M.³ Schottky, B.⁴ Winther, O.⁵

43
- 29444450118
- (Ref. [35])
- Advances in Neural Information Processing Systems , pp. 444
- Csató, L.¹ Opper, M.²

44
- 0006885799
- Preprint MIT Media Lab; (unpublished)
- (2000) Expectation Propagation for Approximate Bayesian Inference
- Minka, T.P.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.