Legends: |
Link to a Model |
Reference cited by multiple papers |

## References and models cited by this paper | ## References and models that cite this paper | |

Amari S, Ikeda S, Shimokawa H (2001) Information geometry and meanfield approximation: The Œ+ projection approach Advanced mean field methods: Theory and practive, Opper M:Saad D, ed. pp.241Amari S, Nagaoka H (2000) Methods of information geometryChernoff H (1952) A measure of asymptotic efficiency for tests of a hypothesis based on a sum of observations Ann Math Stat 23:493-507Corcuera JM, Giummole F (1999) A generalized Bayes rule for prediction Scandinavian J Stat 26:265-279Csiszar I (1975) I-divergence geometry of probability distributions and minimization problems Annals Of Probability 3:146-158Dayan P, Hinton GE, Neal RM, Zemel RS (1995) The Helmholtz machine. Neural Comput 7:889-904 [PubMed]Eguchi S (1983) Second order efficiency of minimum contrast estimators in a curved exponential family Ann Stat 11:793-803Falmagne JC (1985) Elements of psychophysical theoryHardy G, Littlewood JE, Polya G (1952) InequalitiesHida E, Ohno H, Hashimoto N, Amari S, Saito H (2006) Neural representation for perception of wide-field visual flow in MST: Bidirectional transparent motion and its illusory after effect Manuscript submitted for publicationHinton GE (2002) Training products of experts by minimizing contrastive divergence. Neural Comput 14:1771-800 [Journal] [PubMed]Ikeda S, Tanaka T, Amari S (2004) Stochastic reasoning, free energy, and information geometry. Neural Comput 16:1779-810 [Journal] [PubMed]Jacobs RA, Jordan MI, Nowlan SJ, Hinton GE (1991) Adaptive mixtures of local experts Neural Comput 3:79-87Jordan MI, Jacobs RA (1994) Hierarchical mixtures of experts and the EM algorithm Neural Comput 6:181-214Matsuyama Y (2003) The alpha-EM algorithm: Surrogate likelihood maximization using alpha-logarithmic information measures. IEEE Trans Inform Theory 49:692-706Mihoko M, Eguchi S (2002) Robust blind source separation by beta divergence. Neural Comput 14:1859-86 [Journal] [PubMed]Minka T (2005) Divergence measures and message passing MSR-TR-2005-173Murata N, Takenouchi T, Kanamori T, Eguchi S (2004) Information geometry of U-Boost and Bregman divergence. Neural Comput 16:1437-81 [Journal] [PubMed]Petz D, Temesi R (2005) Means of positive numbers and matrices SIAM J Matrix Analysis and Applications 27:712-720Renyi H (1961) On measures of entropy and information Proc 4th Berkeley Symp Math Stat ProbToyoizumi T, Aihara K (2006) Generalization of the mean-field method for power-law distributions Intl J Bifurcation Chaos 16:129-135Wolpert DM, Kawato M (1998) Multiple paired forward and inverse models for motor control. Neural Netw 11:1317-29 [PubMed]Xu L (2004) Advances on BYY harmony learning: information theoretic perspective, generalized projection geometry, and independent factor autodetermination. IEEE Trans Neural Netw 15:885-902 [Journal] [PubMed]Zhu H, Rohwer R (1998) Information geometry, Bayesian inference, ideal estimates, and error decomposition Unpublished manuscript. Available online at http:--www.santafe.edu-research-publications-wpabstract-199806045 |