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2020 – today
- 2024
[i17]Sumio Watanabe:
Review and Prospect of Algebraic Research in Equivalent Framework between Statistical Mechanics and Machine Learning Theory. CoRR abs/2406.10234 (2024)- 2023
- [c50]Shuya Nagayasu, Sumio Watanabe:
Free Energy of Bayesian Convolutional Neural Network with Skip Connection. ACML 2023: 927-942 - [i16]Naoki Yoshida, Sumio Watanabe:
Upper Bound of Real Log Canonical Threshold of Tensor Decomposition and its Application to Bayesian Inference. CoRR abs/2303.05731 (2023) - [i15]Shuya Nagayasu, Sumio Watanabe:
Bayesian Free Energy of Deep ReLU Neural Network in Overparametrized Cases. CoRR abs/2303.15739 (2023) - [i14]Shuya Nagayasu, Sumio Watanabe:
Free energy of Bayesian Convolutional Neural Network with Skip Connection. CoRR abs/2307.01417 (2023) - 2022
- [j37]Shuya Nagayasu, Sumio Watanabe:
Asymptotic behavior of free energy when optimal probability distribution is not unique. Neurocomputing 500: 528-536 (2022) - [i13]Takumi Watanabe, Sumio Watanabe:
Asymptotic Behavior of Bayesian Generalization Error in Multinomial Mixtures. CoRR abs/2203.06884 (2022) - [i12]Sumio Watanabe:
Mathematical Theory of Bayesian Statistics for Unknown Information Source. CoRR abs/2206.05630 (2022) - [i11]Sumio Watanabe:
Recent Advances in Algebraic Geometry and Bayesian Statistics. CoRR abs/2211.10049 (2022) - 2020
- [j36]Natsuki Kariya, Sumio Watanabe:
Testing Homogeneity for Normal Mixture Models: Variational Bayes Approach. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 103-A(11): 1274-1282 (2020) - [j35]Naoki Hayashi
, Sumio Watanabe:
Asymptotic Bayesian Generalization Error in Latent Dirichlet Allocation and Stochastic Matrix Factorization. SN Comput. Sci. 1(2): 69 (2020)
2010 – 2019
- 2017
- [j34]Naoki Hayashi, Sumio Watanabe:
Upper bound of Bayesian generalization error in non-negative matrix factorization. Neurocomputing 266: 21-28 (2017) - [c49]Masahiro Kohjima, Sumio Watanabe:
Phase Transition Structure of Variational Bayesian Nonnegative Matrix Factorization. ICANN (2) 2017: 146-154 - [c48]Naoki Hayashi, Sumio Watanabe:
Tighter upper bound of real log canonical threshold of non-negative matrix factorization and its application to Bayesian inference. SSCI 2017: 1-8 - [i10]Naoki Hayashi, Sumio Watanabe:
Upper Bound of Bayesian Generalization Error in Stochastic Matrix Factorization. CoRR abs/1709.04212 (2017) - 2016
- [c47]Natsuki Koda, Sumio Watanabe:
Interpretation Method of Nonlinear Multilayer Principal Component Analysis by Using Sparsity and Hierarchical Clustering. ICMLA 2016: 1063-1066 - [i9]Naoki Hayashi, Sumio Watanabe:
Upper Bound of Bayesian Generalization Error in Non-negative Matrix Factorization. CoRR abs/1612.04112 (2016) - 2015
- [i8]Sumio Watanabe:
Bayesian Cross Validation and WAIC for Predictive Prior Design in Regular Asymptotic Theory. CoRR abs/1503.07970 (2015) - 2013
- [j33]Sumio Watanabe:
A widely applicable Bayesian information criterion. J. Mach. Learn. Res. 14(1): 867-897 (2013) - [c46]Shigehiro Ohara, Keisuke Yamazaki, Sumio Watanabe:
A Geometric Evaluation of Self-Organizing Map and Application to City Data Analysis. MIWAI 2013: 165-174 - 2012
- [j32]Koshi Yamada, Sumio Watanabe:
Statistical Learning Theory of Quasi-Regular Cases. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 95-A(12): 2479-2487 (2012) - [c45]Koshi Yamada, Sumio Watanabe:
Information criterion for variational Bayes learning in regular and singular cases. SCIS&ISIS 2012: 1551-1555 - [i7]Sumio Watanabe:
A Widely Applicable Bayesian Information Criterion. CoRR abs/1208.6338 (2012) - [i6]Keisuke Yamazaki, Sumio Watanabe:
Stochastic complexity of Bayesian networks. CoRR abs/1212.2511 (2012) - 2011
- [j31]Daisuke Kaji, Sumio Watanabe:
Two design methods of hyperparameters in variational Bayes learning for Bernoulli mixtures. Neurocomputing 74(11): 2002-2007 (2011) - 2010
- [j30]Daisuke Kaji, Kazuho Watanabe, Sumio Watanabe:
Phase Transition of Variational Bayes Learning in Bernoulli Mixture. Aust. J. Intell. Inf. Process. Syst. 11(4) (2010) - [j29]Sumio Watanabe:
Equations of States in Statistical Learning for an Unrealizable and Regular Case. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 93-A(3): 617-626 (2010) - [j28]Sumio Watanabe:
Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable Information Criterion in Singular Learning Theory. J. Mach. Learn. Res. 11: 3571-3594 (2010) - [j27]Sumio Watanabe:
Equations of states in singular statistical estimation. Neural Networks 23(1): 20-34 (2010) - [j26]Keisuke Yamazaki, Miki Aoyagi, Sumio Watanabe:
Asymptotic analysis of Bayesian generalization error with Newton diagram. Neural Networks 23(1): 35-43 (2010) - [c44]Fumiaki Saitoh, Sumio Watanabe:
On Generalization Error of Self-Organizing Map. ICONIP (2) 2010: 399-406 - [i5]Sumio Watanabe:
Asymptotic Learning Curve and Renormalizable Condition in Statistical Learning Theory. CoRR abs/1001.2957 (2010) - [i4]Sumio Watanabe:
Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable Information Criterion in Singular Learning Theory. CoRR abs/1004.2316 (2010)
2000 – 2009
- 2009
- [j25]Kazuho Watanabe, Motoki Shiga, Sumio Watanabe:
Upper bound for variational free energy of Bayesian networks. Mach. Learn. 75(2): 199-215 (2009) - [j24]Yu Nishiyama, Sumio Watanabe:
Accuracy of Loopy belief propagation in Gaussian models. Neural Networks 22(4): 385-394 (2009) - [c43]Daisuke Kaji, Sumio Watanabe:
Optimal Hyperparameters for Generalized Learning and Knowledge Discovery in Variational Bayes. ICONIP (1) 2009: 476-483 - [i3]Sumio Watanabe:
A Limit Theorem in Singular Regression Problem. CoRR abs/0901.2376 (2009) - [i2]Sumio Watanabe:
Equations of States in Statistical Learning for a Nonparametrizable and Regular Case. CoRR abs/0906.0211 (2009) - 2008
- [j23]Kenji Nagata, Sumio Watanabe:
Asymptotic behavior of exchange ratio in exchange Monte Carlo method. Neural Networks 21(7): 980-988 (2008) - [j22]Kenji Nagata, Sumio Watanabe:
Exchange Monte Carlo Sampling From Bayesian Posterior for Singular Learning Machines. IEEE Trans. Neural Networks 19(7): 1253-1266 (2008) - [c42]Yu Nishiyama, Sumio Watanabe:
On the Minima of Bethe Free Energy in Gaussian Distributions. ICAISC 2008: 1075-1086 - [c41]Yu Nishiyama, Sumio Watanabe:
Generalization of Concave and Convex Decomposition in Kikuchi Free Energy. ICANN (1) 2008: 51-60 - [c40]Masashi Matsumoto, Sumio Watanabe:
Experimental Study of Ergodic Learning Curve in Hidden Markov Models. ICONIP (1) 2008: 688-695 - [c39]Kenji Nagata, Sumio Watanabe:
Design of Exchange Monte Carlo Method for Bayesian Learning in Normal Mixture Models. ICONIP (1) 2008: 696-706 - [c38]Daisuke Kaji, Sumio Watanabe:
Model Selection Method for AdaBoost Using Formal Information Criteria. ICONIP (2) 2008: 903-910 - [c37]Sumio Watanabe:
A formula of equations of states in singular learning machines. IJCNN 2008: 2098-2105 - 2007
- [j21]Shinichi Nakajima, Sumio Watanabe:
Variational Bayes Solution of Linear Neural Networks and Its Generalization Performance. Neural Comput. 19(4): 1112-1153 (2007) - [j20]Kazuho Watanabe, Sumio Watanabe:
Stochastic complexities of general mixture models in variational Bayesian learning. Neural Networks 20(2): 210-219 (2007) - [j19]Kazuho Watanabe, Sumio Watanabe:
Stochastic complexity for mixture of exponential families in generalized variational Bayes. Theor. Comput. Sci. 387(1): 4-17 (2007) - [c36]Sumio Watanabe:
Almost All Learning Machines are Singular. FOCI 2007: 383-388 - [c35]Kenji Nagata, Sumio Watanabe:
Analysis of Exchange Ratio for Exchange Monte Carlo Method. FOCI 2007: 434-439 - [c34]Shinichi Nakajima, Sumio Watanabe:
Generalization Error of Automatic Relevance Determination. ICANN (1) 2007: 1-10 - [c33]Takeshi Matsuda, Sumio Watanabe:
On a Singular Point to Contribute to a Learning Coefficient and Weighted Resolution of Singularities. ICANN (1) 2007: 11-18 - [c32]Yu Nishiyama, Sumio Watanabe:
Theoretical Analysis of Accuracy of Gaussian Belief Propagation. ICANN (1) 2007: 29-38 - [c31]Ryosuke Iriguchi, Sumio Watanabe:
Estimation of Poles of Zeta Function in Learning Theory Using Padé Approximation. ICANN (1) 2007: 88-97 - [c30]Kenji Nagata, Sumio Watanabe:
Algebraic Geometric Study of Exchange Monte Carlo Method. ICANN (1) 2007: 687-696 - [c29]Keisuke 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 - [c28]Kenji Nagata, Sumio Watanabe:
Experimental Analysis of Exchange Ratio in Exchange Monte Carlo Method. ICONIP (2) 2007: 67-76 - [c27]Keisuke Yamazaki, Sumio Watanabe:
Experimental Bayesian Generalization Error of Non-regular Models under Covariate Shift. ICONIP (1) 2007: 466-476 - [c26]Miki Aoyagi, Sumio Watanabe:
Resolution of Singularities and Stochastic Complexity of Complete Bipartite Graph-Type Spin Model in Bayesian Estimation. MDAI 2007: 443-454 - [c25]Takeshi Matsuda, Sumio Watanabe:
The Calculation Method of Learning Coefficients by Weighted Resolution of Singularities. MLMTA 2007: 177-181 - [i1]Sumio Watanabe:
Equations of States in Singular Statistical Estimation. CoRR abs/0712.0653 (2007) - 2006
- [j18]Shinichi Nakajima, Sumio Watanabe:
Generalization Performance of Subspace Bayes Approach in Linear Neural Networks. IEICE Trans. Inf. Syst. 89-D(3): 1128-1138 (2006) - [j17]Kazuho Watanabe, Sumio Watanabe:
Stochastic Complexities of Gaussian Mixtures in Variational Bayesian Approximation. J. Mach. Learn. Res. 7: 625-644 (2006) - [c24]Miki Aoyagi, Sumio Watanabe:
Generalization error of three layered learning model in bayesian estimation. Computational Intelligence 2006: 295-300 - [c23]Takeshi Matsuda, Sumio Watanabe:
Analytic Equivalence of Bayes a Posteriori Distributions. ICANN (1) 2006: 113-121 - [c22]Shinichi Nakajima, Sumio Watanabe:
Analytic Solution of Hierarchical Variational Bayes in Linear Inverse Problem. ICANN (2) 2006: 240-249 - [c21]Keisuke Yamazaki, Kenji Nagata, Sumio Watanabe, Klaus-Robert Müller:
A Model Selection Method Based on Bound of Learning Coefficient. ICANN (2) 2006: 371-380 - [c20]Tikara Hosino, Kazuho Watanabe, Sumio Watanabe:
Free Energy of Stochastic Context Free Grammar on Variational Bayes. ICONIP (1) 2006: 407-416 - [c19]Yu Nishiyama, Sumio Watanabe:
Asymptotic Behavior of Stochastic Complexity of Complete Bipartite Graph-Type Boltzmann Machines. ICONIP (1) 2006: 417-426 - [c18]Shingo Takamatsu, Shinichi Nakajima, Sumio Watanabe:
Localized Bayes Estimation for Non-identifiable Models. ICONIP (1) 2006: 650-659 - [c17]Kenji Nagata, Sumio Watanabe:
Generalization Performance of Exchange Monte Carlo Method for Normal Mixture Models. IDEAL 2006: 125-132 - [c16]Kazuho Watanabe, Motoki Shiga, Sumio Watanabe:
Upper Bounds for Variational Stochastic Complexities of Bayesian Networks. IDEAL 2006: 139-146 - [c15]Kenji Nagata, Sumio Watanabe:
The Exchange Monte Carlo Method for Bayesian Learning in Singular Learning Machines. IJCNN 2006: 3351-3357 - 2005
- [j16]Sumio Watanabe:
Algebraic geometry of singular learning machines and symmetry of generalization and training errors. Neurocomputing 67: 198-213 (2005) - [j15]Keisuke Yamazaki, Sumio Watanabe:
Algebraic geometry and stochastic complexity of hidden Markov models. Neurocomputing 69(1-3): 62-84 (2005) - [j14]Miki Aoyagi, Sumio Watanabe:
Stochastic complexities of reduced rank regression in Bayesian estimation. Neural Networks 18(7): 924-933 (2005) - [j13]Keisuke Yamazaki, Sumio Watanabe:
Singularities in complete bipartite graph-type Boltzmann machines and upper bounds of stochastic complexities. IEEE Trans. Neural Networks 16(2): 312-324 (2005) - [c14]Kazuho Watanabe, Sumio Watanabe:
Stochastic Complexity for Mixture of Exponential Families in Variational Bayes. ALT 2005: 107-121 - [c13]Shinichi Nakajima, Sumio Watanabe:
Generalization Error of Linear Neural Networks in an Empirical Bayes Approach. IJCAI 2005: 804-810 - [c12]Kazuho Watanabe, Sumio Watanabe:
Variational Bayesian Stochastic Complexity of Mixture Models. NIPS 2005: 1465-1472 - 2004
- [c11]Kazuho Watanabe, Sumio Watanabe:
Estimation of the Data Region Using Extreme-Value Distributions. ALT 2004: 206-220 - [c10]Keisuke Yamazaki, Sumio Watanabe:
Newton Diagram and Stochastic Complexity in Mixture of Binomial Distributions. ALT 2004: 350-364 - 2003
- [j12]Sumio Watanabe, Shun-ichi Amari:
Learning Coefficients of Layered Models When the True Distribution Mismatches the Singularities. Neural Comput. 15(5): 1013-1033 (2003) - [j11]Keisuke Yamazaki, Sumio Watanabe:
Singularities in mixture models and upper bounds of stochastic complexity. Neural Networks 16(7): 1029-1038 (2003) - [c9]Keisuke Yamazaki, Sumio Watanabe:
Stochastic complexities of hidden Markov models. NNSP 2003: 179-188 - [c8]Keisuke Yamazaki, Sumio Watanabe:
Stochastic Complexity of Bayesian Networks. UAI 2003: 592-599 - 2002
- [j10]Sumio Watanabe:
Errata to "learning efficiency of redundant neural networks in bayesian estimation". IEEE Trans. Neural Networks 13(1): 254 (2002) - [c7]Sumio 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
- [j9]Sumio Watanabe:
Algebraic Analysis for Nonidentifiable Learning Machines. Neural Comput. 13(4): 899-933 (2001) - [j8]Sumio Watanabe:
Algebraic geometrical methods for hierarchical learning machines. Neural Networks 14(8): 1049-1060 (2001) - [j7]Sumio Watanabe:
Learning efficiency of redundant neural networks in Bayesian estimation. IEEE Trans. Neural Networks 12(6): 1475-1486 (2001) - 2000
- [c6]Sumio Watanabe:
Algebraic Information Geometry for Learning Machines with Singularities. NIPS 2000: 329-335
1990 – 1999
- 1999
- [c5]Sumio Watanabe:
Algebraic Analysis for Singular Statistical Estimation. ALT 1999: 39-50 - [c4]Sumio Watanabe:
Algebraic Analysis for Non-regular Learning Machines. NIPS 1999: 356-362 - 1998
- [c3]Sumio Watanabe:
Inequalities of Generalization Errors for Layered Neural Networks in Bayesian Learning. ICONIP 1998: 59-62 - [p1]Sumio Watanabe, Kenji Fukumizu:
Probabilistic design. Algorithms and Architectures 1998: 181-229 - 1996
- [j6]Sumio Watanabe:
Solvable models of layered neural networks based on their differential structure. Adv. Comput. Math. 5(1): 205-231 (1996) - [j5]Shin Ishii, Kenji Fukumizu, Sumio Watanabe:
A network of chaotic elements for information processing. Neural Networks 9(1): 25-40 (1996) - 1995
- [j4]Sumio Watanabe:
A Modified Information Criterion for Automatic Model and Parameter Selection in Neural Network Learning. IEICE Trans. Inf. Syst. 78-D(4): 490-499 (1995) - [j3]Kazunori Takatsu, Hidefumi Sawai, Sumio Watanabe, Masahide Yoneyama:
Genetic algorithms applied to bayesian image restoration. Syst. Comput. Jpn. 26(5): 89-98 (1995) - [j2]Sumio Watanabe, Kenji Fukumizu:
Probabilistic design of layered neural networks based on their unified framework. IEEE Trans. Neural Networks 6(3): 691-702 (1995) - 1993
- [c2]Sumio Watanabe:
An Optimization Method of Layered Neural Networks based on the Modified Information Criterion. NIPS 1993: 293-302 - [c1]Sumio Watanabe:
Solvable Models of Artificial Neural Networks. NIPS 1993: 423-430 - 1992
- [j1]Sumio Watanabe, Masahide Yoneyama:
An ultrasonic visual sensor for three-dimensional object recognition using neural networks. IEEE Trans. Robotics Autom. 8(2): 240-249 (1992)
Coauthor Index
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last updated on 2024-09-13 00:44 CEST by the dblp team
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