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Sumio Watanabe

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2009
54EESumio Watanabe: A Limit Theorem in Singular Regression Problem CoRR abs/0901.2376: (2009)
2008
53EEYu Nishiyama, Sumio Watanabe: On the Minima of Bethe Free Energy in Gaussian Distributions. ICAISC 2008: 1075-1086
52EEYu Nishiyama, Sumio Watanabe: Generalization of Concave and Convex Decomposition in Kikuchi Free Energy. ICANN (1) 2008: 51-60
51EESumio Watanabe: A formula of equations of states in singular learning machines. IJCNN 2008: 2098-2105
50EEKenji Nagata, Sumio Watanabe: Asymptotic behavior of exchange ratio in exchange Monte Carlo method. Neural Networks 21(7): 980-988 (2008)
2007
49EESumio Watanabe: Almost All Learning Machines are Singular. FOCI 2007: 383-388
48EEKenji Nagata, Sumio Watanabe: Analysis of Exchange Ratio for Exchange Monte Carlo Method. FOCI 2007: 434-439
47EEShinichi Nakajima, Sumio Watanabe: Generalization Error of Automatic Relevance Determination. ICANN (1) 2007: 1-10
46EETakeshi Matsuda, Sumio Watanabe: On a Singular Point to Contribute to a Learning Coefficient and Weighted Resolution of Singularities. ICANN (1) 2007: 11-18
45EEYu Nishiyama, Sumio Watanabe: Theoretical Analysis of Accuracy of Gaussian Belief Propagation. ICANN (1) 2007: 29-38
44EEKenji Nagata, Sumio Watanabe: Algebraic Geometric Study of Exchange Monte Carlo Method. ICANN (1) 2007: 687-696
43EERyosuke Iriguchi, Sumio Watanabe: Estimation of Poles of Zeta Function in Learning Theory Using Padé Approximation. ICANN (1) 2007: 88-97
42EEKeisuke Yamazaki, Motoaki Kawanabe, Sumio Watanabe, Masashi Sugiyama, Klaus-Robert Müller: Asymptotic Bayesian generalization error when training and test distributions are different. ICML 2007: 1079-1086
41EEKeisuke Yamazaki, Sumio Watanabe: Experimental Bayesian Generalization Error of Non-regular Models under Covariate Shift. ICONIP (1) 2007: 466-476
40EEKenji Nagata, Sumio Watanabe: Experimental Analysis of Exchange Ratio in Exchange Monte Carlo Method. ICONIP (2) 2007: 67-76
39EEMiki Aoyagi, Sumio Watanabe: Resolution of Singularities and Stochastic Complexity of Complete Bipartite Graph-Type Spin Model in Bayesian Estimation. MDAI 2007: 443-454
38 Takeshi Matsuda, Sumio Watanabe: The Calculation Method of Learning Coefficients by Weighted Resolution of Singularities. MLMTA 2007: 177-181
37EESumio Watanabe: Equations of States in Singular Statistical Estimation CoRR abs/0712.0653: (2007)
36EEShinichi Nakajima, Sumio Watanabe: Variational Bayes Solution of Linear Neural Networks and Its Generalization Performance. Neural Computation 19(4): 1112-1153 (2007)
35EEKazuho Watanabe, Sumio Watanabe: Stochastic complexities of general mixture models in variational Bayesian learning. Neural Networks 20(2): 210-219 (2007)
34EEKazuho Watanabe, Sumio Watanabe: Stochastic complexity for mixture of exponential families in generalized variational Bayes. Theor. Comput. Sci. 387(1): 4-17 (2007)
2006
33EETakeshi Matsuda, Sumio Watanabe: Analytic Equivalence of Bayes a Posteriori Distributions. ICANN (1) 2006: 113-121
32EEShinichi Nakajima, Sumio Watanabe: Analytic Solution of Hierarchical Variational Bayes in Linear Inverse Problem. ICANN (2) 2006: 240-249
31EEKeisuke Yamazaki, Kenji Nagata, Sumio Watanabe, Klaus-Robert Müller: A Model Selection Method Based on Bound of Learning Coefficient. ICANN (2) 2006: 371-380
30EETikara Hosino, Kazuho Watanabe, Sumio Watanabe: Free Energy of Stochastic Context Free Grammar on Variational Bayes. ICONIP (1) 2006: 407-416
29EEYu Nishiyama, Sumio Watanabe: Asymptotic Behavior of Stochastic Complexity of Complete Bipartite Graph-Type Boltzmann Machines. ICONIP (1) 2006: 417-426
28EEShingo Takamatsu, Shinichi Nakajima, Sumio Watanabe: Localized Bayes Estimation for Non-identifiable Models. ICONIP (1) 2006: 650-659
27EEKenji Nagata, Sumio Watanabe: Generalization Performance of Exchange Monte Carlo Method for Normal Mixture Models. IDEAL 2006: 125-132
26EEKazuho Watanabe, Motoki Shiga, Sumio Watanabe: Upper Bounds for Variational Stochastic Complexities of Bayesian Networks. IDEAL 2006: 139-146
25EEKenji Nagata, Sumio Watanabe: The Exchange Monte Carlo Method for Bayesian Learning in Singular Learning Machines. IJCNN 2006: 3351-3357
24EEShinichi Nakajima, Sumio Watanabe: Generalization Performance of Subspace Bayes Approach in Linear Neural Networks. IEICE Transactions 89-D(3): 1128-1138 (2006)
23EEKazuho Watanabe, Sumio Watanabe: Stochastic Complexities of Gaussian Mixtures in Variational Bayesian Approximation. Journal of Machine Learning Research 7: 625-644 (2006)
2005
22EEKazuho Watanabe, Sumio Watanabe: Stochastic Complexity for Mixture of Exponential Families in Variational Bayes. ALT 2005: 107-121
21EEShinichi Nakajima, Sumio Watanabe: Generalization Error of Linear Neural Networks in an Empirical Bayes Approach. IJCAI 2005: 804-810
20EEKazuho Watanabe, Sumio Watanabe: Variational Bayesian Stochastic Complexity of Mixture Models. NIPS 2005
19EEMiki Aoyagi, Sumio Watanabe: Stochastic complexities of reduced rank regression in Bayesian estimation. Neural Networks 18(7): 924-933 (2005)
18EESumio Watanabe: Algebraic geometry of singular learning machines and symmetry of generalization and training errors. Neurocomputing 67: 198-213 (2005)
17EEKeisuke Yamazaki, Sumio Watanabe: Algebraic geometry and stochastic complexity of hidden Markov models. Neurocomputing 69(1-3): 62-84 (2005)
2004
16EEKazuho Watanabe, Sumio Watanabe: Estimation of the Data Region Using Extreme-Value Distributions. ALT 2004: 206-220
15EEKeisuke Yamazaki, Sumio Watanabe: Newton Diagram and Stochastic Complexity in Mixture of Binomial Distributions. ALT 2004: 350-364
2003
14 Keisuke Yamazaki, Sumio Watanabe: Stochastic Complexity of Bayesian Networks. UAI 2003: 592-599
13EESumio Watanabe, Shun-ichi Amari: Learning Coefficients of Layered Models When the True Distribution Mismatches the Singularities. Neural Computation 15(5): 1013-1033 (2003)
12EEKeisuke Yamazaki, Sumio Watanabe: Singularities in mixture models and upper bounds of stochastic complexity. Neural Networks 16(7): 1029-1038 (2003)
2002
11EESumio Watanabe, Shun-ichi Amari: The Effect of Singularities in a Learning Machine when the True Parameters Do Not Lie on such Singularities. NIPS 2002: 391-398
2001
10 Sumio Watanabe: Algebraic Analysis for Nonidentifiable Learning Machines. Neural Computation 13(4): 899-933 (2001)
9EESumio Watanabe: Algebraic geometrical methods for hierarchical learning machines. Neural Networks 14(8): 1049-1060 (2001)
2000
8 Sumio Watanabe: Algebraic Information Geometry for Learning Machines with Singularities. NIPS 2000: 329-335
1999
7EESumio Watanabe: Algebraic Analysis for Singular Statistical Estimation. ATL 1999: 39-50
6EESumio Watanabe: Algebraic Analysis for Non-regular Learning Machines. NIPS 1999: 356-362
1998
5 Sumio Watanabe: Inequalities of Generalization Errors for Layered Neural Networks in Bayesian Learning. ICONIP 1998: 59-62
1996
4EESumio Watanabe: Solvable models of layered neural networks based on their differential structure. Adv. Comput. Math. 5(1): 205-231 (1996)
3EEShin Ishi, Kenji Fukumizu, Sumio Watanabe: A network of chaotic elements for information processing. Neural Networks 9(1): 25-40 (1996)
1993
2EESumio Watanabe: An Optimization Method of Layered Neural Networks based on the Modified Information Criterion. NIPS 1993: 293-302
1EESumio Watanabe: Solvable Models of Artificial Neural Networks. NIPS 1993: 423-430

Coauthor Index

1Shun-ichi Amari [11] [13]
2Miki Aoyagi [19] [39]
3Kenji Fukumizu [3]
4Tikara Hosino [30]
5Ryosuke Iriguchi [43]
6Shin Ishi [3]
7Motoaki Kawanabe [42]
8Takeshi Matsuda [33] [38] [46]
9Klaus-Robert Müller [31] [42]
10Kenji Nagata [25] [27] [31] [40] [44] [48] [50]
11Shinichi Nakajima [21] [24] [28] [32] [36] [47]
12Yu Nishiyama [29] [45] [52] [53]
13Motoki Shiga [26]
14Masashi Sugiyama [42]
15Shingo Takamatsu [28]
16Kazuho Watanabe [16] [20] [22] [23] [26] [30] [34] [35]
17Keisuke Yamazaki [12] [14] [15] [17] [31] [41] [42]

Colors in the list of coauthors

Copyright © Sun May 17 03:24:02 2009 by Michael Ley (ley@uni-trier.de)