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## Search the dblp DataBase
Sumio Watanabe:
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## Publications of Author- Sumio Watanabe
**Algebraic Analysis for Singular Statistical Estimation.**[Citation Graph (0, 0)][DBLP] ATL, 1999, pp:39-50 [Conf] - Kazuho Watanabe, Sumio Watanabe
**Estimation of the Data Region Using Extreme-Value Distributions.**[Citation Graph (0, 0)][DBLP] ALT, 2004, pp:206-220 [Conf] - Kazuho Watanabe, Sumio Watanabe
**Stochastic Complexity for Mixture of Exponential Families in Variational Bayes.**[Citation Graph (0, 0)][DBLP] ALT, 2005, pp:107-121 [Conf] - Keisuke Yamazaki, Sumio Watanabe
**Newton Diagram and Stochastic Complexity in Mixture of Binomial Distributions.**[Citation Graph (0, 0)][DBLP] ALT, 2004, pp:350-364 [Conf] - Shinichi Nakajima, Sumio Watanabe
**Analytic Solution of Hierarchical Variational Bayes in Linear Inverse Problem.**[Citation Graph (0, 0)][DBLP] ICANN (2), 2006, pp:240-249 [Conf] - Takeshi Matsuda, Sumio Watanabe
**Analytic Equivalence of Bayes a Posteriori Distributions.**[Citation Graph (0, 0)][DBLP] ICANN (1), 2006, pp:113-121 [Conf] - Keisuke Yamazaki, Kenji Nagata, Sumio Watanabe, Klaus-Robert Müller
**A Model Selection Method Based on Bound of Learning Coefficient.**[Citation Graph (0, 0)][DBLP] ICANN (2), 2006, pp:371-380 [Conf] - Tikara Hosino, Kazuho Watanabe, Sumio Watanabe
**Free Energy of Stochastic Context Free Grammar on Variational Bayes.**[Citation Graph (0, 0)][DBLP] ICONIP (1), 2006, pp:407-416 [Conf] - Yu Nishiyama, Sumio Watanabe
**Asymptotic Behavior of Stochastic Complexity of Complete Bipartite Graph-Type Boltzmann Machines.**[Citation Graph (0, 0)][DBLP] ICONIP (1), 2006, pp:417-426 [Conf] - Shingo Takamatsu, Shinichi Nakajima, Sumio Watanabe
**Localized Bayes Estimation for Non-identifiable Models.**[Citation Graph (0, 0)][DBLP] ICONIP (1), 2006, pp:650-659 [Conf] - Sumio Watanabe
**Inequalities of Generalization Errors for Layered Neural Networks in Bayesian Learning.**[Citation Graph (0, 0)][DBLP] ICONIP, 1998, pp:59-62 [Conf] - Kenji Nagata, Sumio Watanabe
**Generalization Performance of Exchange Monte Carlo Method for Normal Mixture Models.**[Citation Graph (0, 0)][DBLP] IDEAL, 2006, pp:125-132 [Conf] - Kazuho Watanabe, Motoki Shiga, Sumio Watanabe
**Upper Bounds for Variational Stochastic Complexities of Bayesian Networks.**[Citation Graph (0, 0)][DBLP] IDEAL, 2006, pp:139-146 [Conf] - Shinichi Nakajima, Sumio Watanabe
**Generalization Error of Linear Neural Networks in an Empirical Bayes Approach.**[Citation Graph (0, 0)][DBLP] IJCAI, 2005, pp:804-810 [Conf] - Sumio Watanabe
**Algebraic Information Geometry for Learning Machines with Singularities.**[Citation Graph (0, 0)][DBLP] NIPS, 2000, pp:329-335 [Conf] - Sumio Watanabe
**An Optimization Method of Layered Neural Networks based on the Modified Information Criterion.**[Citation Graph (0, 0)][DBLP] NIPS, 1993, pp:293-302 [Conf] - Sumio Watanabe
**Solvable Models of Artificial Neural Networks.**[Citation Graph (0, 0)][DBLP] NIPS, 1993, pp:423-430 [Conf] - Sumio Watanabe
**Algebraic Analysis for Non-regular Learning Machines.**[Citation Graph (0, 0)][DBLP] NIPS, 1999, pp:356-362 [Conf] - Sumio Watanabe, Shun-ichi Amari
**The Effect of Singularities in a Learning Machine when the True Parameters Do Not Lie on such Singularities.**[Citation Graph (0, 0)][DBLP] NIPS, 2002, pp:391-398 [Conf] - Kazuho Watanabe, Sumio Watanabe
**Variational Bayesian Stochastic Complexity of Mixture Models.**[Citation Graph (0, 0)][DBLP] NIPS, 2005, pp:- [Conf] - Keisuke Yamazaki, Sumio Watanabe
**Stochastic Complexity of Bayesian Networks.**[Citation Graph (0, 0)][DBLP] UAI, 2003, pp:592-599 [Conf] - Sumio Watanabe
**Algebraic geometry of singular learning machines and symmetry of generalization and training errors.**[Citation Graph (0, 0)][DBLP] Neurocomputing, 2005, v:67, n:, pp:198-213 [Journal] - Keisuke Yamazaki, Sumio Watanabe
**Algebraic geometry and stochastic complexity of hidden Markov models.**[Citation Graph (0, 0)][DBLP] Neurocomputing, 2005, v:69, n:1-3, pp:62-84 [Journal] - Kazuho Watanabe, Sumio Watanabe
**Stochastic Complexities of Gaussian Mixtures in Variational Bayesian Approximation.**[Citation Graph (0, 0)][DBLP] Journal of Machine Learning Research, 2006, v:7, n:, pp:625-644 [Journal] - Sumio Watanabe
**Algebraic Analysis for Nonidentifiable Learning Machines.**[Citation Graph (0, 0)][DBLP] Neural Computation, 2001, v:13, n:4, pp:899-933 [Journal] - Sumio Watanabe, Shun-ichi Amari
**Learning Coefficients of Layered Models When the True Distribution Mismatches the Singularities.**[Citation Graph (0, 0)][DBLP] Neural Computation, 2003, v:15, n:5, pp:1013-1033 [Journal] - Shinichi Nakajima, Sumio Watanabe
**Variational Bayes Solution of Linear Neural Networks and Its Generalization Performance.**[Citation Graph (0, 0)][DBLP] Neural Computation, 2007, v:19, n:4, pp:1112-1153 [Journal] - Miki Aoyagi, Sumio Watanabe
**Stochastic complexities of reduced rank regression in Bayesian estimation.**[Citation Graph (0, 0)][DBLP] Neural Networks, 2005, v:18, n:7, pp:924-933 [Journal] - Shin Ishi, Kenji Fukumizu, Sumio Watanabe
**A network of chaotic elements for information processing.**[Citation Graph (0, 0)][DBLP] Neural Networks, 1996, v:9, n:1, pp:25-40 [Journal] - Sumio Watanabe
**Algebraic geometrical methods for hierarchical learning machines.**[Citation Graph (0, 0)][DBLP] Neural Networks, 2001, v:14, n:8, pp:1049-1060 [Journal] - Keisuke Yamazaki, Sumio Watanabe
**Singularities in mixture models and upper bounds of stochastic complexity.**[Citation Graph (0, 0)][DBLP] Neural Networks, 2003, v:16, n:7, pp:1029-1038 [Journal] - Kazuho Watanabe, Sumio Watanabe
**Stochastic complexities of general mixture models in variational Bayesian learning.**[Citation Graph (0, 0)][DBLP] Neural Networks, 2007, v:20, n:2, pp:210-219 [Journal] - M. Aoyagi, S. Watanabe
**Generalization error of three layered learning model in bayesian estimation.**[Citation Graph (0, 0)][DBLP] Computational Intelligence, 2006, pp:295-300 [Conf] - Yu Nishiyama, Sumio Watanabe
**Theoretical Analysis of Accuracy of Gaussian Belief Propagation.**[Citation Graph (0, 0)][DBLP] ICANN (1), 2007, pp:29-38 [Conf] - Takeshi Matsuda, Sumio Watanabe
**On a Singular Point to Contribute to a Learning Coefficient and Weighted Resolution of Singularities.**[Citation Graph (0, 0)][DBLP] ICANN (1), 2007, pp:11-18 [Conf] - Kenji Nagata, Sumio Watanabe
**Algebraic Geometric Study of Exchange Monte Carlo Method.**[Citation Graph (0, 0)][DBLP] ICANN (1), 2007, pp:687-696 [Conf] - Shinichi Nakajima, Sumio Watanabe
**Generalization Error of Automatic Relevance Determination.**[Citation Graph (0, 0)][DBLP] ICANN (1), 2007, pp:1-10 [Conf] - Ryosuke Iriguchi, Sumio Watanabe
**Estimation of Poles of Zeta Function in Learning Theory Using Padé Approximation.**[Citation Graph (0, 0)][DBLP] ICANN (1), 2007, pp:88-97 [Conf] - Keisuke Yamazaki, Motoaki Kawanabe, Sumio Watanabe, Masashi Sugiyama, Klaus-Robert Müller
**Asymptotic Bayesian generalization error when training and test distributions are different.**[Citation Graph (0, 0)][DBLP] ICML, 2007, pp:1079-1086 [Conf] - Miki Aoyagi, Sumio Watanabe
**Resolution of Singularities and Stochastic Complexity of Complete Bipartite Graph-Type Spin Model in Bayesian Estimation.**[Citation Graph (0, 0)][DBLP] MDAI, 2007, pp:443-454 [Conf] - Sumio Watanabe
**Almost All Learning Machines are Singular.**[Citation Graph (0, 0)][DBLP] FOCI, 2007, pp:383-388 [Conf] - Kenji Nagata, Sumio Watanabe
**Analysis of Exchange Ratio for Exchange Monte Carlo Method.**[Citation Graph (0, 0)][DBLP] FOCI, 2007, pp:434-439 [Conf] **On the Minima of Bethe Free Energy in Gaussian Distributions.**[Citation Graph (, )][DBLP]**Generalization of Concave and Convex Decomposition in Kikuchi Free Energy.**[Citation Graph (, )][DBLP]**Experimental Bayesian Generalization Error of Non-regular Models under Covariate Shift.**[Citation Graph (, )][DBLP]**Experimental Analysis of Exchange Ratio in Exchange Monte Carlo Method.**[Citation Graph (, )][DBLP]**Experimental Study of Ergodic Learning Curve in Hidden Markov Models.**[Citation Graph (, )][DBLP]**Design of Exchange Monte Carlo Method for Bayesian Learning in Normal Mixture Models.**[Citation Graph (, )][DBLP]**Model Selection Method for AdaBoost Using Formal Information Criteria.**[Citation Graph (, )][DBLP]**Optimal Hyperparameters for Generalized Learning and Knowledge Discovery in Variational Bayes.**[Citation Graph (, )][DBLP]**The Exchange Monte Carlo Method for Bayesian Learning in Singular Learning Machines.**[Citation Graph (, )][DBLP]**A formula of equations of states in singular learning machines.**[Citation Graph (, )][DBLP]**The Calculation Method of Learning Coefficients by Weighted Resolution of Singularities.**[Citation Graph (, )][DBLP]**Solvable models of layered neural networks based on their differential structure.**[Citation Graph (, )][DBLP]**Equations of States in Singular Statistical Estimation**[Citation Graph (, )][DBLP]**A Limit Theorem in Singular Regression Problem**[Citation Graph (, )][DBLP]**Equations of States in Statistical Learning for a Nonparametrizable and Regular Case**[Citation Graph (, )][DBLP]**Asymptotic Learning Curve and Renormalizable Condition in Statistical Learning Theory**[Citation Graph (, )][DBLP]**Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable Information Criterion in Singular Learning Theory**[Citation Graph (, )][DBLP]
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