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Volumn , Issue 11, 2005, Pages 277-300

Approximate inference techniques with expectation constraints

Author keywords

Analysis of algorithms; Message passing algorithms

Indexed keywords


EID: 29044438682     PISSN: 17425468     EISSN: None     Source Type: Journal    
DOI: 10.1088/1742-5468/2005/11/P11015     Document Type: Article
Times cited : (45)

References (29)
  • 1
    • 84898959007 scopus 로고    scopus 로고
    • Stable fixed points of loopy belief propagation are minima of the Bethe free energy
    • Heskes T 2003 Stable fixed points of loopy belief propagation are minima of the Bethe free energy Advances in Neural Information Processing Systems vol 15 ed S Becker, S Thrun and K Obermayer (Cambridge, MA: MIT Press) pp 359-66
    • (2003) Advances in Neural Information Processing Systems , vol.15 , pp. 359-366
    • Heskes, T.1
  • 4
    • 3142705638 scopus 로고    scopus 로고
    • Stochastic reasoning, free energy, and information geometry
    • Ikeda S, Tanaka T and Amari S 2000 Stochastic reasoning, free energy, and information geometry Neural Comput. 16 1779-810
    • (2000) Neural Comput. , vol.16 , Issue.9 , pp. 1779-1810
    • Ikeda, S.1    Tanaka, T.2    Amari, S.3
  • 5
    • 0033225865 scopus 로고    scopus 로고
    • An introduction to variational methods for graphical models
    • Jordan M I, Ghahramani Z, Jaakkola T S and Saul L K 1999 An introduction to variational methods for graphical models Mach. Learn. 37 183-233
    • (1999) Mach. Learn. , vol.37 , Issue.2 , pp. 183-233
    • Jordan, M.I.1    Ghahramani, Z.2    Jaakkola, T.S.3    Saul, L.K.4
  • 6
    • 84899012889 scopus 로고    scopus 로고
    • Boltzmann machine learning using mean field theory and linear response correction
    • Kappen H J and Rodríguez F B 1999 Boltzmann machine learning using mean field theory and linear response correction Advances in Neural Information Processing Systems vol 11 ed M S Kearns, S A Solla and D A Cohn (Cambridge, MA: MIT Press) pp 280-6
    • (1999) Advances in Neural Information Processing Systems , vol.11 , pp. 280-286
    • Kappen, H.J.1    Rodríguez, F.B.2
  • 8
    • 84950442428 scopus 로고
    • Propagation of probabilities, means, and variances in mixed graphical association models
    • Lauritzen S L 1992 Propagation of probabilities, means, and variances in mixed graphical association models J. Am. Stat. Assoc. 87 1098-108
    • (1992) J. Am. Stat. Assoc. , vol.87 , pp. 1098-1108
    • Lauritzen, S.L.1
  • 11
    • 84898967099 scopus 로고    scopus 로고
    • Tree-structured approximations by expectation propagation
    • Minka T and Qi Y 2004 Tree-structured approximations by expectation propagation Advances in Neural Information Processing Systems vol 16 ed S Thrun et al (Cambridge, MA: MIT Press)
    • (2004) Advances in Neural Information Processing Systems , vol.16
    • Minka, T.1    Qi, Y.2
  • 12
    • 29044450687 scopus 로고    scopus 로고
    • Minka T P 2001 A family of algorithms for approximate Bayesian inference PhD Thesis (MIT Media Lab)
    • (2001) PhD Thesis
    • Minka, T.P.1
  • 14
    • 0035509916 scopus 로고    scopus 로고
    • Adaptive and self-averaging Thouless-Anderson-Palmer mean field theory for probabilistic modeling
    • Opper M and Winther O 2001 Adaptive and self-averaging Thouless-Anderson-Palmer mean field theory for probabilistic modeling Phys. Rev. E 64 056131
    • (2001) Phys. Rev. , vol.64 , Issue.5 , pp. 056131
    • Opper, M.1    Winther, O.2
  • 15
    • 0035938135 scopus 로고    scopus 로고
    • Tractable approximations for probabilistic models: The adaptive Thouless-Anderson-Palmer mean field approach
    • Opper M and Winther O 2001 Tractable approximations for probabilistic models: the adaptive Thouless-Anderson-Palmer mean field approach Phys. Rev. Lett. 86 3695
    • (2001) Phys. Rev. Lett. , vol.86 , Issue.17 , pp. 3695
    • Opper, M.1    Winther, O.2
  • 16
    • 29044434242 scopus 로고    scopus 로고
    • Expectation consistent free energies for approximate inference
    • Opper M and Winther O 2005 Expectation consistent free energies for approximate inference Advances in Neural Information Processing Systems vol 17 ed L K Saul et al (Cambridge, MA: MIT Press) pp 1001-8
    • (2005) Advances in Neural Information Processing Systems , vol.17 , pp. 1001-1008
    • Opper, M.1    Winther, O.2
  • 17
    • 21844512278 scopus 로고
    • Mean-field equations for spin models with orthogonal interaction matrices
    • Parisi G and Potters M 1995 Mean-field equations for spin models with orthogonal interaction matrices J. Phys. A: Math. Gen. 28 5267
    • (1995) J. Phys. A: Math. Gen. , vol.28 , Issue.18 , pp. 5267
    • Parisi, G.1    Potters, M.2
  • 20
    • 84898944621 scopus 로고    scopus 로고
    • The unified propagation and scaling algorithm
    • Teh Y and Welling M 2002 The unified propagation and scaling algorithm Advances in Neural Information Processing Systems vol 14 ed T G Dietterich et al (Cambridge, MA: MIT Press) pp 953-60
    • (2002) Advances in Neural Information Processing Systems , vol.14 , pp. 953-960
    • Teh, Y.1    Welling, M.2
  • 21
    • 84996241537 scopus 로고
    • Solution of a 'solvable model of a spin glass'
    • Thouless D J, Anderson P W and Palmer R G 1977 Solution of a 'solvable model of a spin glass' Phil. Mag. 35 593
    • (1977) Phil. Mag. , vol.35 , Issue.3 , pp. 593
    • Thouless, D.J.1    Anderson, P.W.2    Palmer, R.G.3
  • 23
    • 0011952756 scopus 로고    scopus 로고
    • Correctness of belief propagation in Gaussian graphical models of arbitrary topology
    • Weiss Y and Freeman W T 2001 Correctness of belief propagation in Gaussian graphical models of arbitrary topology Neural Comput. 13 2173-200
    • (2001) Neural Comput. , vol.13 , Issue.10 , pp. 2173-2200
    • Weiss, Y.1    Freeman, W.T.2
  • 26
    • 0012131861 scopus 로고    scopus 로고
    • Variational approximations between mean field theory and the junction tree algorithm
    • Wiegerinck W 2000 Variational approximations between mean field theory and the junction tree algorithm Proc. 16th Ann. Conf. on Uncertainty in AI (UAI-00) (San Francisco, CA: Morgan Kaufmann) pp 626-33
    • (2000) Proc. 16th Ann. Conf. on Uncertainty in AI (UAI-00) , pp. 626-633
    • Wiegerinck, W.1
  • 28
    • 0036636878 scopus 로고    scopus 로고
    • CCCP algorithms to minimize the Bethe and Kikuchi free energies: Convergent alternatives to belief propagation
    • Yuille A 2002 CCCP algorithms to minimize the Bethe and Kikuchi free energies: convergent alternatives to belief propagation Neural Comput. 14 1691-722
    • (2002) Neural Comput. , vol.14 , Issue.7 , pp. 1691-1722
    • Yuille, A.1
  • 29


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.