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Sumio Watanabe :
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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 ] Search in 0.062secs, Finished in 0.066secs