Variational linear response

Advances in Neural Information Processing Systems

Volumn , Issue , 2004, Pages

  Opper, Manfred ^a   Winther, Ole ^b  

^a ASTON UNIVERSITY   (United Kingdom)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR RESPONSE; LINEAR RESPONSE METHOD; MEAN FIELD APPROXIMATION; VARIATIONAL BAYES;

EID: 29244484372     PISSN: 10495258     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. M. Opper and D. Saad, Advanced Mean Field Methods: Theory and Practice, MIT Press, 2001.
2. H. Attias, "A variational Bayesian framework for graphical models, " in Advances in Neural Information Processing Systems 12, T. Leen et al., Ed. 2000, MIT Press, Cambridge.
3. J. W. Miskin and D. J. C. MacKay, "Ensemble learning for blind image separation and deconvolution, " in Advances in Independent Component Analysis, M Girolami, Ed. 2000, Springer- Verlag Scientific Publishers.
4. Z. Ghahramani and M. J. Beal, "Propagation algorithms for variational Bayesian learning, " in Advances in Neural Information Processing Systems 13. 2001, pp. 507-513, MIT Press, Cambridge.
5. C. M. Bishop, D. Spiegelhalter, and J. Winn, "VIBES: A variational inference engine for Bayesian networks, " in Advances in Neural Information Processing Systems 15, 2002.
6. C. M. Bishop and J. Winn, "Structured variational distributions in VIBES, " in Artificial Intelligence and Statistics, Key West, Florida, 2003.
7. D. J. C. MacKay, Information Theory, Inference, and Learning Algorithms, Cambridge University Press, 2003.
8. G. Parisi, Statistical Field Theory, Addison-Wesley, 1988.
9. H.J. Kappen and F.B. Rodríguez, "Efficient learning in Boltzmann machines using ' linear response theory, " Neural Computation, vol. 10, pp. 1137-1156, 1998.
10. P. A.d.F.R. Hojen-Sorensen, O. Winther, and L. K. Hansen, "Mean field approaches to independent component analysis, " Neural Computation, vol. 14, pp. 889-918, 2002.
11. M. Opper and O.Winther, "Adaptive and self-averaging Thouless-Anderson-Palmer mean field theory for probabilistic modeling, " Physical Review E, vol. 64, pp. 056131, 2001.
12. M. Welling and Y. W. Teh, "Linear response algorithms for approximate inference, " Artificial Intelligence Journal, 2003.
13. M. Welling and Y. W. Teh, "Propagation rules for linear response estimates of joint pairwise probabilities, " preprint, 2003.