Watanabe Sumio 渡邊澄夫

… Alternative Names

WATANABE SUMIO 渡邊澄夫

WATANABE Sumio 渡邊澄夫

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Researcher Number	80273118
Other IDs	https://orcid.org/0000-0001-8341-5639
External Links
Affiliation (based on the past Project Information) *help	2021 – 2023: 東京工業大学, 情報理工学院, 教授 2016 – 2019: 東京工業大学, 情報理工学院, 教授 2015: 東京工業大学, 総合理工学研究科, 教授 2012 – 2015: 東京工業大学, 総合理工学研究科(研究院), 教授 2011: 東京工業大学, 総合理工学研究科, 教授 2001 – 2009: 東京工業大学, 精密工学研究所, 教授 1997 – 2000: 東京工業大学, 精密工学研究所, 助教授
Review Section/Research Field	Principal Investigator Intelligent informatics / Basic Section 61030:Intelligent informatics-related / Soft computing / Sensitivity informatics/Soft computing / Intelligent informatics / Science and Engineering Except Principal Investigator Complex systems
Keywords	Principal Investigator 代数幾何 / 汎化誤差 / 学習理論 / 自由エネルギー / 代数解析 / 実対数閾値 / Learning Theory / 確率的複雑さ / WAIC / 情報量規準 … More / 周辺尤度 / WBIC / ゼータ関数 / 双有理不変量 / 特異点 / 特異モデル / Singularities / ニューラルネットワーク / 特異点解消 / 神経回路網 / 調整された情報量規準 / 調整された交差検証 / 特異学習理論 / 汎関数分散 / 非負値行列分解 / 情報量規準WAIC / 交差損失 / 汎化損失 / クロスバリデーション / 漸近挙動 / 交差検証 / Information System / Algebraic Analysis / Learning Machine / Learning System / Zeta function / Statistical Learning Theory / Algebraic Geometry / 特定不能 / ブローアップ / カルバック情報量 / 文脈自由文法 / 縮小ランク回帰 / ゼータ函数 / 変分ベイズ法 / ベイズ法 / 情報システム / 学習モデル / 学習システム / 統計的学習理論 / stochastic complexity / generalization error / algebraic analysis / algebraic geometry / 予測誤差 / 佐藤b関数 / Hironaka's resolution / b-function / Statistical Estimation / Function approximation / Neural networks / Multi-Resolution Analysis / 汎関数測度 / 可解モデル / ウェーブレット / b関数 / 統計的推測 / 関数近似 / 多重度解析 / 逆温度 / 漸近解析 / 特異揺らぎ / ベイズ自由エネルギー / 構造学習理論 / 双有理幾何学 / 厳密な数理物理 / 特異点解消定理 / 状態方程式 / 対数正規値 / 佐藤幹夫のb関数 / 広中の定理 / 学習の状態方程式 / 特異ゆらぎ / 実対数閾植 / 確率過程論 / 超関数論 / 特異点論 / 情報物理学 … More Except Principal Investigator 行列分解 / 交差検証法 / 情報量基準 / 統計力学 / 特異モデル / 平均場近似 / レプリカ法 / モデル選択 / 潜在変数モデリング / 圧縮センシング Less

Information Criterion WBIC and its improvementPrincipal Investigator
- Principal Investigator
  
  Watanabe Sumio
- Project Period (FY)
  2021 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 61030:Intelligent informatics-related
- Research Institution
  Tokyo Institute of Technology
Difference between marginal likelihood and generalization error as statistical model evaluation based on algebraic geometry and structure learning theoryPrincipal Investigator
- Principal Investigator
  
  WATANABE SUMIO
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Soft computing
- Research Institution
  Tokyo Institute of Technology
Statistical mechanics approach to massive sparse modeling
- Principal Investigator
  
  KABASHIMA Yoshiyuki
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
- Review Section
  
  Complex systems
- Research Institution
  Tokyo Institute of Technology
Structure Learning Theory and Birational GeometryPrincipal Investigator
- Principal Investigator
  
  WATANABE SUMIO
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Intelligent informatics
- Research Institution
  Tokyo Institute of Technology
Establishment of Information Physics based on algebraic geometryPrincipal Investigator
- Principal Investigator
  
  WATANABE Sumio
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Review Section
  
  Science and Engineering
- Research Institution
  Tokyo Institute of Technology
Establishment of Algebraic Geometrical Methods in Statistical Learning TheoryPrincipal Investigator
- Principal Investigator
  
  WATANABE Sumio
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Sensitivity informatics/Soft computing
- Research Institution
  Tokyo Institute of Technology
Mathematical foundation of Singular Learning Machines based on Algebraic Geometry and AnalysisPrincipal Investigator
- Principal Investigator
  
  WATANABE Sumio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Intelligent informatics
- Research Institution
  Tokyo Institute of Technology
Sovable Models of Finite Multi-resolution analysisPrincipal Investigator
- Principal Investigator
  
  WATANABE Sumio
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Intelligent informatics
- Research Institution
  Tokyo Institute of Technology

[Book] Mathematical theory of Bayesian statistics2018
- Author(s)
  Sumio Watanabe
- Total Pages
  300
- Publisher
  CRC Press
- ISBN
  9781482238068
- Data Source
  KAKENHI-PROJECT-15K00331
[Book] ランダム行列の数理と科学2014
- Author(s)
  渡邊澄夫, 永尾太郎, 樺島祥介, 田中利幸, 中島伸一
- Total Pages
  170
- Publisher
  森北出版
- Data Source
  KAKENHI-PROJECT-23500172
[Book] ベイズ統計の理論と方法2012
- Author(s)
  渡邊澄夫
- Total Pages
  200
- Publisher
  コロナ社
- Data Source
  KAKENHI-PROJECT-23500172
[Book] 特異モデルの学習理論(数理科学事典)2010
- Author(s)
  渡邊澄夫
- Publisher
  丸善
- Data Source
  KAKENHI-PROJECT-18079007
[Book] Algebraic geometry and statistical learning theory2009
- Author(s)
  渡邊澄夫
- Publisher
  Cambridge University Press
- Data Source
  KAKENHI-PROJECT-18079007
[Book] Algebraic Geometry and Statistical Learning Theory2009
- Author(s)
  Watanabe
- Publisher
  Cambridge University Press
- Data Source
  KAKENHI-PROJECT-18079007
[Book] Quantum Bio-Informatics2008
- Author(s)
  Sumio Watanabe
- Total Pages
  455
- Publisher
  World Scientific
- Data Source
  KAKENHI-PROJECT-18079007
[Book] lgebraic Geometrical Method in Singular Statistical Estimation, in Quantum Bio-Informatics2008
- Author(s)
  S. Watanabe
- Publisher
  World Scientific(Singapole)
- Data Source
  KAKENHI-PROJECT-18079007
[Book] Quantum Bio-Informatics2008
- Author(s)
  Sumio Watanabe
- Total Pages
  452
- Publisher
  Algebraic geometrical method in singular statistical estimation
- Data Source
  KAKENHI-PROJECT-18079007
[Book] 学習システムの理論と実現2005
- Author(s)
  渡邊澄夫, 萩原克幸, 赤穂昭太郎, 本村陽一, 福水健次, 岡田真人, 青柳美輝
- Total Pages
  195
- Publisher
  森北出版
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Free Energy of Bayesian Convolutional Neural Network with Skip Connection2024
- Author(s)
  S.Nagayasu, S.Watanabe
- Journal Title
  
  Proceedings of the 15th Asian Conference on Machine Learning
  
  Volume: 222 Pages: 927-942
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K12025
[Journal Article] Mathematical Theory of Bayesian Statistics for Unknown Information Source2023
- Author(s)
  Sumio Watanabe
- Journal Title
  
  Philosophical Transactions of the Royal Society A
  
  Volume: - Issue: 2247
- DOI
  10.1098/rsta.2022.0151
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K12025
[Journal Article] Mathematical Theory of Bayesian Statistics where all models are wrong2022
- Author(s)
  Sumio Watanabe
- Journal Title
  
  Handbook of Statistics, Elsevior
  
  Volume: 47 Pages: 209-238
- DOI
  10.1016/bs.host.2022.06.001
- ISBN
  9780323952682
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K12025
[Journal Article] Recent Advances in Algebraic Geometry and Bayesian Statistics2022
- Author(s)
  Sumio Watanabe
- Journal Title
  
  Information Geometry
  
  Volume: - Issue: S1 Pages: 187-209
- DOI
  10.1007/s41884-022-00083-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K12025
[Journal Article] Information criteria and cross validation for Bayesian inference in regular and singular cases2021
- Author(s)
  Sumio Watanabe
- Journal Title
  
  Japanese Journal of Statistics and Data Science
  
  Volume: 4 Issue: 1 Pages: 1-19
- DOI
  10.1007/s41237-021-00133-z
- NAID
  210000185598
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K12025
[Journal Article] Asymptotic Bayesian Generalization Error in Latent Dirichlet Allocation and Stochastic Matrix Factorization.2020
- Author(s)
  Naoki Hayashi, Sumio Watanabe.
- Journal Title
  
  SN Computer Science
  
  Volume: 1 Issue: 2 Pages: 1-22
- DOI
  10.1007/s42979-020-0071-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K00331
[Journal Article] Higher Order Equivalence of Bayes Cross Validation and WAIC2018
- Author(s)
  Sumio Watanabe
- Journal Title
  
  Springer Proceedings in Mathematics and Statistics
  
  Volume: 25210.1007/978-3-319-97798-0 Pages: 47-73
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K00331
[Journal Article] Tighter upper bound of real log canonical threshold of non-negative matrix factorization and its application to Bayesian inference2017
- Author(s)
  Hayashi Naoki、Watanabe Sumio
- Journal Title
  
  IEEE Symposium Series on Computational Intelligence
  
  Volume: Vol.1 Pages: 1-8
- DOI
  10.1109/ssci.2017.8280811
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K00331
[Journal Article] Phase Transition Structure of Variational Bayesian Nonnegative Matrix Factorization2017
- Author(s)
  Kohjima Masahiro、Watanabe Sumio
- Journal Title
  
  Proc. of ICANN
  
  Volume: Vol.2 Pages: 146-154
- DOI
  10.1007/978-3-319-68612-7_17
- ISBN
  9783319686110, 9783319686127
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K00331
[Journal Article] Difference between Bayes Cross Validation and WAIC for Conditional Independent Samples2017
- Author(s)
  Sumio Watanabe
- Journal Title
  
  Proc. of 10th WITMSE2017
  
  Volume: Vol.1 Pages: 38-41
- Data Source
  KAKENHI-PROJECT-15K00331
[Journal Article] Upper bound of Bayesian generalization error in non-negative matrix factorization2017
- Author(s)
  Hayashi Naoki、Watanabe Sumio
- Journal Title
  
  Neurocomputing
  
  Volume: 266 Pages: 21-28
- DOI
  10.1016/j.neucom.2017.04.068
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K00331
[Journal Article] Interpretation Method of Nonlinear Multilayer Principal Component Analysis by Using Sparsity and Hierarchical Clustering2016
- Author(s)
  Natsuki Koda, Sumio Watanabe
- Journal Title
  
  Proceedings of 15th IEEE International Conference on Machine Learning and Applications (ICMLA)
  
  Volume: なし Pages: 1063-1066
- DOI
  10.1109/icmla.2016.0193
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PLANNED-25120013
[Journal Article] Cavity-based robustness analysis of interdependent networks : Influences of intranetwork and internetwork degree-degree correlations2014
- Author(s)
  S.Watanabe and Y.Kabashima
- Journal Title
  
  Phys. Rev
  
  Volume: E 89 Issue: 1
- DOI
  10.1103/physreve.89.012808
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22300003, KAKENHI-PLANNED-25120013
[Journal Article] A Geometric Evaluation of Self-Organizing Map and Application to City Data Analysis2013
- Author(s)
  Shigehiro Ohara, Keisuke Yamazaki, Sumio Watanabe
- Journal Title
  
  Lecture Notes in Artificial Intelligence
  
  Volume: 8271 Pages: 165-174
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-25120013
[Journal Article] A widely applicable Bayesian information criterion2013
- Author(s)
  渡邊澄夫
- Journal Title
  
  Journal of Machine Learning Research
  
  Volume: 14 Pages: 867-897
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23500172
[Journal Article] Two birational invariants in statistical learning theory2012
- Author(s)
  渡邊澄夫
- Journal Title
  
  IRMA Lectures in Mathematics and Theoretical Physics
  
  Volume: 20 Pages: 249-268
- Data Source
  KAKENHI-PROJECT-23500172
[Journal Article] Statistical Learning Theory of Quasi-Regular Cases2012
- Author(s)
  山田耕史　渡邊澄夫
- Journal Title
  
  IEICE Transactions
  
  Volume: E95A Pages: 2479-2487
- NAID
  10031161384
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23500172
[Journal Article] Two Design Methods of Hyperparameters in Variational Bayes Learning for Bernoulli Mixtures2011
- Author(s)
  Daisuke Kaji, Sumio Watanabe
- Journal Title
  
  Neurocomputing
  
  Volume: 74 Pages: 20022007-20022007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23500172
[Journal Article] Asymptotic Analysis of Bayesian Generalization Error with Newton Diagram2010
- Author(s)
  K. Yamazaki, M. Aoyagi, S. Watanabe
- Journal Title
  
  Neural Networks Vol.23,No.1
  
  Pages: 35-43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Equations of states in statistical learning for an unrealizable and regular case2010
- Author(s)
  S. Watanabe
- Journal Title
  
  IEICE Transactions Vol.E93-A,No.3
  
  Pages: 617-626
- NAID
  10026863556
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Asymptotic Analysis of Bayesian Generalization Error with Newton Diagram2010
- Author(s)
  K Yamazaki, M Aoyagi, S Watanabe
- Journal Title
  
  Neural Networks Vol.23, No.1
  
  Pages: 35-43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Equations of states in statistical learning for an unrealizable and regular case2010
- Author(s)
  Sumio Watanabe
- Journal Title
  
  IEICE Transactions Vol.E93-A, No.3
  
  Pages: 617-626
- NAID
  10026863556
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Equations of states in singular statistical estimation2010
- Author(s)
  S. Watanabe
- Journal Title
  
  Neural Networks Vol.23,No.1
  
  Pages: 20-34
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Equations of states in singular statistical estimation2010
- Author(s)
  Sumio Watanabe
- Journal Title
  
  Neural Networks Vol.23, No.1
  
  Pages: 20-34
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] A limit theorem in singular regression problem2010
- Author(s)
  Sumio Watanabe
- Journal Title
  
  Advanced Studies in Pure Mathematics Vol.57
  
  Pages: 473-492
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Upper bound for variational free energy of Bayesian networks2009
- Author(s)
  K. Watanabe, M. Shiga, S. Watanabe
- Journal Title
  
  Machine Learning vol.75,no.2
  
  Pages: 199-215
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Asymptotic Behavior of Exchange Ratio in Exchange Monte Carlo Method2008
- Author(s)
  Kenji Nagata, Sumio Watanabe
- Journal Title
  
  Neural Networks 21
  
  Pages: 980-988
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Exchange Monte Carlo Sampling From Bayesian Posterior for Singular Learning Machines2008
- Author(s)
  K. Nagata, S. Watanabe
- Journal Title
  
  IEEE Transactions on Neural Networks Vol.19,No.7
  
  Pages: 1253-1266
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Exchange Monte Carlo Sampling From Bayesian Posterior for Singular Learning Machines2008
- Author(s)
  Kenji Nagata, Sumio Watanabe
- Journal Title
  
  IEEE Transactions on Neural Networks 19
  
  Pages: 1253-1266
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Asymptotic Behavior of Exchange Ratio in Exchange Monte Carlo Method2008
- Author(s)
  K. Nagata, S. Watanabe
- Journal Title
  
  Neural Networks Vol.21,No.7
  
  Pages: 980-988
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Theory and Experiments of Exchange Ratio for Exchange Monte Carlo Method2008
- Author(s)
  K. Nagata, S. Watanabe
- Journal Title
  
  Neural Information Processing - Letters and Reviews Vol.12,No.1-3
  
  Pages: 21-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Asymptotic Behavior of Exchange Ratio in Exchange Monte Carlo Method2008
- Author(s)
  Kenji Nagata, Sumio Watanabe
- Journal Title
  
  Neural Networks Vol. 21, No. 7
  
  Pages: 980-988
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Estimating the Data Region Using Minimum and Maximum Values2007
- Author(s)
  K. Watanabe, S. Watanabe
- Journal Title
  
  Interdisciplinary Information Sciences 13
  
  Pages: 151-161
- NAID
  110006463579
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Stochastic complexity for mixture of exponential families in generalized variational Bayes2007
- Author(s)
  K. Watanabe, S. Watanabe
- Journal Title
  
  Theoretical Computer Science Vol.387
  
  Pages: 4-17
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Stochastic complexities of general mixture models in variation al Bayesian learning2007
- Author(s)
  K. Watanabe, S. Watanabe
- Journal Title
  
  Neural Networks 20
  
  Pages: 210-217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Variational Bayes Solution of Linear Neural Networks and its Generalization Performance2007
- Author(s)
  S. Nakajima, S.Watanabe
- Journal Title
  
  Neural Computation vol.19, no.4
  
  Pages: 1112-1153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Variational Bayes Solution of Linear Neural Networks and its Generalization Performance2007
- Author(s)
  S. Nakajima, S. Watanabe
- Journal Title
  
  Neural Computation vol.19,no.4
  
  Pages: 1112-1153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Variational Bayes Solution of Linear Neural Networks and its Generalization Performance2007
- Author(s)
  S. Nakajima, S. Watanabe
- Journal Title
  
  Neural Computation 19
  
  Pages: 1112-1153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Estimating the Data Region Using Minimum and Maximum Values2007
- Author(s)
  K. Watanabe, S. Watanabe
- Journal Title
  
  Interdisciplinary Information Sciences Vol.13,No.2
  
  Pages: 151-161
- NAID
  110006463579
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Generalization Performance of Subspace Bayes Approach in Linear Neural Networks2006
- Author(s)
  S Nakajima, S Watanabe
- Journal Title
  
  IEICE Transactions Vol.E89-D, no.3
  
  Pages: 1128-1138
- NAID
  110004719390
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Variational bayesian stochastic complexity of mixture models2006
- Author(s)
  K Watanabe, S Watanabe
- Journal Title
  
  Proc. of Advances in Neural Information Processing Systems Vol.18
  
  Pages: 1465-1472
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Stochastic complexities of gaussian mixtures in variational bayesian approximation2006
- Author(s)
  K Watanabe, S Watanabe
- Journal Title
  
  Journal of Machine Learning Research Vol. 7
  
  Pages: 625-644
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Stochastic complexities of gaussian mixtures in variational bayesian approximation2006
- Author(s)
  K. Watanabe, S. Watanabe
- Journal Title
  
  Journal of Machine Learning Research Vol.7
  
  Pages: 625-644
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Stocahstic complexity of complete bipartite Boltzmann machine in mean field approximation2006
- Author(s)
  Yu Nichiyama., S.Watanabe
- Journal Title
  
  IEICE Transactions Vol.89-A
  
  Pages: 671-678
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Stochastic complexities of gaussian mixtures in variational bayesian approximation2006
- Author(s)
  K Watanabe, S Watanabe
- Journal Title
  
  Journal of Machine Learning Research Vol.7
  
  Pages: 625-644
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Generalization Performance of Subspace Bayes Approach in Linear Neural Networks2006
- Author(s)
  S Nakajima, S Watanabe
- Journal Title
  
  IEICE Transactions Vol. E89-D, no. 3
  
  Pages: 1128-1138
- NAID
  110004719390
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Variational bayesian stochastic complexity of mixture models2006
- Author(s)
  K Watanabe, S Watanabe
- Journal Title
  
  Proc. of Advances in Neural Information Processing Systems Vol. 18
  
  Pages: 1465-1472
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Generalization Performance of Subspace Bayes Approach in Linear Neural Networks2006
- Author(s)
  S. Nakajima, S. Watanabe
- Journal Title
  
  IEICE Transactions Vol.E89-D,no.3
  
  Pages: 1128-1138
- NAID
  110004719390
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Variational bayesian stochastic complexity of mixture models2006
- Author(s)
  K Watanabe, S Watanabe
- Journal Title
  
  Proc. of Advances in Neural Information Processing Systems vol.18
  
  Pages: 1465-1472
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Variational bayesian stochastic complexity of mixture models2006
- Author(s)
  K Watanabe, S Watanabe
- Journal Title
  
  Proc. of Advances in Neural Information Processing Systems Vol. 18
  
  Pages: 1465-1472
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Generalization Performance of Subspace Bayes Approach in Linear Neural Networks2006
- Author(s)
  S Nakajima, S Watanabe
- Journal Title
  
  IEICE Transactions Vol. E89-D, no. 3
  
  Pages: 1128-1138
- NAID
  110004719390
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Stochastic complexity of hidden markov model in Variational Bayes learning.2006
- Author(s)
  Tikara Hosino, Kazuho Watanabe, Sumio Watanabe
- Journal Title
  
  IEICE Transactions Vol.J89-D-II
  
  Pages: 1279-1287
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Generalization Performance of Subspace Bayes Approach in Linear Neural Networks2006
- Author(s)
  S Nakajima, S Watanabe
- Journal Title
  
  IEICE Transactions vol.89-E-D
  
  Pages: 1128-1138
- NAID
  110004719390
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] locally Bayes learning,2006
- Author(s)
  Shingo Tanakamatsu, Shinichi Nakajima, Sumio Watanabe
- Journal Title
  
  IEICE Transactions Vol.J89-D-II
  
  Pages: 2260-2268
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Stochastic complexities of gaussian mixtures in variational bayesian approximation2006
- Author(s)
  K Watanabe, S Watanabe
- Journal Title
  
  Journal of Machine Learning Research Vol. 7
  
  Pages: 625-644
- Data Source
  KAKENHI-PROJECT-18079007
[Journal Article] Algebraic geometry and stochastic complexity of hidden Markov models2005
- Author(s)
  K.Yamazaki, S.Watanabe
- Journal Title
  
  Neurocomputing 69
  
  Pages: 62-84
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Algebraic geometry of singular learning machines and symmetry of generalization and training errors2005
- Author(s)
  Sumio Watanabe
- Journal Title
  
  Neurocomputing 67
  
  Pages: 198-213
- Data Source
  KAKENHI-PROJECT-15500130
[Journal Article] Stochastic complexities of reduced rank regression in Bayesian estimation2005
- Author(s)
  M.Aoyagi, S.Watanabe
- Journal Title
  
  International Journal of Neural Networks 18・7
  
  Pages: 924-933
- Data Source
  KAKENHI-PROJECT-15500130
[Presentation] Singular Learning Theory, Deep Learning, and AI Alignment2024
- Author(s)
  Sumio Watanabe
- Organizer
  Tokyo Deep Learning 2024
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K12025
[Presentation] Bias and Variance of Bayes Cross Validation in Singular Learning Theory2023
- Author(s)
  Sumio Watanabe
- Organizer
  Bayesian Statistics and Statistical Learning
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K12025
[Presentation] Singularity Theory in Statistical Science2022
- Author(s)
  Sumio Watanabe
- Organizer
  MSJ-SI: Deepening and Evolution of Applied Singularity Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K12025
[Presentation] Asymptotic Behavior of Bayesian Generalization Error in Multinomial Mixtures2022
- Author(s)
  Takumi Watanabe, Sumio Watanabe
- Organizer
  arxiv.org
- Data Source
  KAKENHI-PROJECT-21K12025
[Presentation] Cross Validation and WAIC in layered neural networks2018
- Author(s)
  Sumio Watanabe
- Organizer
  Deep Learning: Theory, Algorithms, and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00331
[Presentation] Difference between Bayes Cross Validation and WAIC for Conditional Independent Samples2017
- Author(s)
  Sumio Watanabe
- Organizer
  The Tenth Workshop on Information Theoretic Methods in Science and Engineering
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-25120013
[Presentation] Bayesian sparse regression and information criteria for singular models. International Workshop2017
- Author(s)
  渡邊澄夫
- Organizer
  Algebraic and Geometric Methods in Statistics
- Place of Presentation
  統計数理研究所
- Year and Date
  2017-03-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00331
[Presentation] Phase Transition Structure of Variational Bayesian Nonnegative Matrix Factorization2017
- Author(s)
  Kunihiro Kohjima, Sumio Watanabe.
- Organizer
  26th International Conference on Artificial Neural Networks
- Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-25120013
[Presentation] 階層化クラスタリングを用いた深層アンサンブル学習の最適化法2016
- Author(s)
  香田夏輝，渡邊澄夫
- Organizer
  第19回情報論的学習理論ワークショップ
- Place of Presentation
  京都大学
- Year and Date
  2016-11-16
- Data Source
  KAKENHI-PLANNED-25120013
[Presentation] Cross Validation and WAIC in Statistical Model Evaluation2016
- Author(s)
  渡邊澄夫
- Organizer
  Symposium　‐ What is a good model? Evidential statistics, information criterion and model evaluation.
- Place of Presentation
  統計数理研究所（立川市）
- Year and Date
  2016-01-12
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-25120013
[Presentation] Higher Order Analysis of Bayesian Cross Validation in Regular Asymptotic Theory2016
- Author(s)
  渡邊澄夫
- Organizer
  Information Geometry and its Applications IV
- Place of Presentation
  Liblice Castle Hote, Czech Republic
- Year and Date
  2016-06-12
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00331
[Presentation] Cross Validation and WAIC in Statistical Model Evaluation2016
- Author(s)
  渡邊澄夫
- Organizer
  Symposium　‐ What is a good model?
- Place of Presentation
  統計数理研究所
- Year and Date
  2016-01-12
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K00331
[Presentation] ハミルトニアンモンテカルロ法を用いた神経回路網の学習と汎化誤差の推定について2016
- Author(s)
  中村文士渡邊澄夫
- Organizer
  信学技報
- Place of Presentation
  統計数理研究所
- Year and Date
  2016-03-17
- Data Source
  KAKENHI-PROJECT-15K00331
[Presentation] 潜在変数を持つモデルの評価について2016
- Author(s)
  渡邊澄夫
- Organizer
  データ科学シンポジウム
- Place of Presentation
  大阪大学
- Year and Date
  2016-01-22
- Invited
- Data Source
  KAKENHI-PROJECT-15K00331
[Presentation] Interpretation Method of Nonlinear Multilayer Principal Component Analysis by Using Sparsity and Hierarchical Clustering2016
- Author(s)
  Natsuki Koda, Sumio Watanabe
- Organizer
  The 15th IEEE International Conference on Machine Learning and Applications (ICMLA)
- Place of Presentation
  Anaheim, CA, USA
- Year and Date
  2016-12-18
- Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-25120013
[Presentation] 非ガウス可解モデルを用いたレプリカモンテカルロ法による自由エネルギーの計算精度の評価2016
- Author(s)
  須貝将士渡邊澄夫
- Organizer
  信学技報
- Place of Presentation
  玉川大学
- Year and Date
  2016-03-23
- Data Source
  KAKENHI-PROJECT-15K00331
[Presentation] ベイズ推論2016
- Author(s)
  渡邊澄夫
- Organizer
  電子情報通信学会ソサイエティ大会
- Place of Presentation
  北海道大学
- Year and Date
  2016-09-20
- Invited
- Data Source
  KAKENHI-PROJECT-15K00331
[Presentation] 潜在変数を持つモデルの評価について2016
- Author(s)
  渡邊澄夫
- Organizer
  データ科学シンポジウム
- Place of Presentation
  大阪大学
- Year and Date
  2016-01-22
- Invited
- Data Source
  KAKENHI-PLANNED-25120013
[Presentation] スパース表現を用いた非線形多層主成分分析における学習結果の分類法について2015
- Author(s)
  香田夏輝渡邊澄夫
- Organizer
  情報論的学習理論と機械学習研究会
- Place of Presentation
  つくば国際会議場
- Year and Date
  2015-11-16
- Data Source
  KAKENHI-PROJECT-15K00331
[Presentation] Discovery Phenomenon and Information Criteria2014
- Author(s)
  Sumio Watanabe
- Organizer
  The Seventh Workshop on Information Theoretic Methods in Science and Engineering
- Place of Presentation
  Sheraton Waikiki Hotel, Honolulu, USA.
- Year and Date
  2014-07-07
- Invited
- Data Source
  KAKENHI-PLANNED-25120013
[Presentation] Birational Invariants in Marginal Likelihood Computation2014
- Author(s)
  Sumio Watanabe
- Organizer
  2014 NIMS Thematic Program on Algebraic Statistics
- Place of Presentation
  National Institute of Mathematical Sciences, Daejeon, South Korea.
- Year and Date
  2014-06-15
- Invited
- Data Source
  KAKENHI-PLANNED-25120013
[Presentation] Model Selection for Non-Regular Statistical Models2013
- Author(s)
  Sumio Watanabe
- Organizer
  Joint Statistical Meeting
- Place of Presentation
  Canada, Motreal
- Invited
- Data Source
  KAKENHI-PROJECT-23500172
[Presentation] WAIC and WBIC are Information Criteria for Singular Statistical Model Evaluation2013
- Author(s)
  Sumio Watanabe
- Organizer
  WITMSE 2013
- Place of Presentation
  The University of Tokyo
- Invited
- Data Source
  KAKENHI-PROJECT-23500172
[Presentation] Information Criterion for Variational Bayes Learning in Regular and Singular Cases2012
- Author(s)
  山田耕史　渡邊澄夫
- Organizer
  6th International Conference on Soft Computing and Intelligent Systems
- Place of Presentation
  Kobe Convention Center
- Data Source
  KAKENHI-PROJECT-23500172
[Presentation] Algebraic geometry and model selection2011
- Author(s)
  Sumio Watanabe
- Organizer
  Workshop of American Institute of Mathematics(招待講演)
- Place of Presentation
  アメリカ数学研究所
- Data Source
  KAKENHI-PROJECT-23500172
[Presentation] Generalization Error by Langevin Equation in Singular Learning Machines2009
- Author(s)
  T. Iwagaki, S. Watanabe
- Organizer
  International Symposium on Nonlinear Theory and its Applications
- Place of Presentation
  Sapporo, Japan
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Optimal Hyperparameters for Generalized Learning and Knowledge Discovery in Variational Bayes2009
- Author(s)
  D. Kaji, S. Watanabe
- Organizer
  International Conference on Neural Information Processing
- Place of Presentation
  Bangkok, Thailand
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Two birational invariants in statistical learning theory2009
- Author(s)
  Sumio Watanabe
- Organizer
  JSPS Forum on Singularities
- Place of Presentation
  IRMA, France
- Year and Date
  2009-08-24
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Phase Transition of Generalization Errors in Variational Bayes Learning2009
- Author(s)
  S. Oyama, S. Watanabe
- Organizer
  International Symposium on Nonlinear Theory and its Applications
- Place of Presentation
  Sapporo, Japan
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Determining the Number of the Components of Gaussian Mixture Models by Bayesian Hypothesis Testing2009
- Author(s)
  K. Fujiwara, S. Watanabe
- Organizer
  The 12th IASTED International Conference on Intelligent systems and control
- Place of Presentation
  Cambridge, Massachusetts, USA
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] A Singular limit theorem in statistical learning theory2009
- Author(s)
  S. Watanabe
- Organizer
  Mathematical Quantum Field Theory and Renormalization Theory
- Place of Presentation
  Kyushu Univ
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Algebraic Geometry, Empirical Process, and Singular Model Evaluation2008
- Author(s)
  S. Watanabe
- Organizer
  Algebraic Methods in Systems Biology and Statistics
- Place of Presentation
  Research Triangle Park, NC, USA
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] A foumula of equations of states in singular learning machines2008
- Author(s)
  S. Watanabe
- Organizer
  IEEE World Congress in Computational Intelligence
- Place of Presentation
  Hong kong, China
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] What we can estimate about singularity from random samples2008
- Author(s)
  S. Watanabe
- Organizer
  Seasonal Institute of the mathematical society of Japan, Kyoto, Japan
- Place of Presentation
  Kyoto, Japan
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] On the Minima of Bethe Free Energy in Gaussian Distributions2008
- Author(s)
  Y. Nishiyama, S. Watanabe
- Organizer
  Proceedings of International Conference on Artificial Intelligence and Softcomputing
- Place of Presentation
  Palma de Mallorca, Spain
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Generalization of Concave and Convex Decomposition in Kikuchi Free Energy2008
- Author(s)
  Y. Nishiyama, S. Watanabe
- Organizer
  International Conference on Artificial Neural Networks
- Place of Presentation
  Czech Republic
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Weighted Blowups of Kullback Information and Application to Multinomial Distributions2008
- Author(s)
  T. Matsuda, S. Watanabe
- Organizer
  Proceedings of International Symposium on Nonlinear Theory and Its Applications
- Place of Presentation
  Budapest, Republic of Hungary
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Design of Exchange Monte Carlo Method for Bayesian Learning in Normal Mixture Models2008
- Author(s)
  K. Nagata, S. Watanabe
- Organizer
  International Conference on Neural Information Processing of the Asia-Pacific Neural Network Assembly
- Place of Presentation
  Auckland, New Zealand
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] What we can estimate about singularity from random samples2008
- Author(s)
  Sumio Watanabe
- Organizer
  Seasonal Institute of the mathematical society of Japan
- Place of Presentation
  Kyoto, Japan
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] A formula of equations of states in singular learning machines2008
- Author(s)
  Sumio Watanabe
- Organizer
  IEEE World Congress in Computational Intelligence
- Place of Presentation
  香港コンベンションセンター
- Year and Date
  2008-06-06
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Experimental Study of Ergodic Learning Curve in Hidden Markov Models2008
- Author(s)
  M. Matsumoto, S. Watanabe
- Organizer
  International Conference on Neural Information Processing of the Asia-Pacific Neural Network Assembly
- Place of Presentation
  Auckland, New Zealand
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Algebraic geometrical method in singular statistical estimation2008
- Author(s)
  Sumio Watanabe
- Organizer
  Albebraic Statistics
- Place of Presentation
  Berkeley, USA
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Algebraic geometrical method in singular statistical estimation2008
- Author(s)
  S. Watanabe
- Organizer
  Algebraic Statistics, Mathematical Sciences Research Institute, Univesity of California
- Place of Presentation
  Berkeley, USA
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Model Selection Method for AdaBoost Using Formal Information Criteria2008
- Author(s)
  D. Kaji, S. Watanabe
- Organizer
  International Conference on Neural Information Processing of the Asia- Pacific Neural Network Assembly
- Place of Presentation
  Auckland, New Zealand
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Analysis of Exchange Ratio for Exchange Monte Carlo Method2007
- Author(s)
  K. Nagata, S. Watanabe
- Organizer
  Proc. of FOCI2007
- Place of Presentation
  Honolulu, Hawaii
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Almost All Learning Machines are Singular2007
- Author(s)
  S. Watanabe
- Organizer
  Proc. of FOCI
- Place of Presentation
  Honolulu, Hawaii
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Algebraic Geometric Study of Exchange Monte Carlo Method2007
- Author(s)
  K. Nagata, S. Watanabe
- Organizer
  Proc. of ICANN
- Place of Presentation
  Porto, Portugal
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Asymptotic Bayesian Generalization Error When Training and Test Distributions Are Different2007
- Author(s)
  K. Yamazaki, M. Kawanabe, S. Watanabe, M. Sugiyama, K. -R. Muller
- Organizer
  Proc. of ICML
- Place of Presentation
  Corvallis, Oregon, USA
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] On a Singular Point to Contribute to a Learning Coefficient and Weighted Resolution of Singularities2007
- Author(s)
  T. Matsuda, S. Watanabe
- Organizer
  Proc. of ICANN
- Place of Presentation
  Porto, Portugal
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Generalization Error of Automatic Relevance Determination2007
- Author(s)
  S. Nakajima, S. Watanabe
- Organizer
  Proc. of ICANN, 2007
- Place of Presentation
  Porto, Portugal
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Almost All Learning Machines are Singular2007
- Author(s)
  S. Watanabe
- Organizer
  Proc. of FOCI
- Place of Presentation
  Hawaii, USA
- Year and Date
  2007-04-04
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Estimation of Poles of Zeta Function in Learning Theory Using Pade Approximation2007
- Author(s)
  R. Iriguchi, S. Watanabe
- Organizer
  Proc. of ICANN
- Place of Presentation
  Porto, Portugal
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Theoretical Analysis of Accuracy of Gaussian Belief Propagation2007
- Author(s)
  Y. Nishiyama, S. Watanabe
- Organizer
  Proc. of ICANN
- Place of Presentation
  Porto, Portugal
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Experimental Analysis of Exchange Ratio in Exchange Monte Carlo Method2007
- Author(s)
  Kenji Nagata, S. Watanabe
- Organizer
  Proc. of ICONIP2007
- Place of Presentation
  Kitakyushu, Japan
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Experimental Bayesian generalization error of nonregular models in covariate shift2007
- Author(s)
  K. Yamazaki, S. Watanabe
- Organizer
  Proc. of ICONIP2007
- Place of Presentation
  Kitakyushu, Japan
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Resolution of Singularities and Stochastic Complexity of Complete Bipartite Graph-Type Spin Model in Bayesian Estimation2007
- Author(s)
  M. Aoyagi, S. Watanabe
- Organizer
  Proc. of MDAI
- Place of Presentation
  Kitakyushu, Japan
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] A Model Selection Method Based on Bound of Learning Coefficient2006
- Author(s)
  K. Yamazaki, K. Nagata, S. Watanabe, Klaus-Robert Muller
- Organizer
  Proc. of ICANN
- Place of Presentation
  Athens, Greece
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Analytic Solution of Hierarchical Variational Bayes in Linear Inverse Problem2006
- Author(s)
  S. Nakajima, S. Watanabe
- Organizer
  Proc. of International Conference on Artificial Neural Networks
- Place of Presentation
  Athens, Greece
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Upper bounds for variational stochastic complexities of Bayesian networks2006
- Author(s)
  K. Watanabe, M. Shiga, S. Watanabe
- Organizer
  Proc. of International Conference on Intelligent Data Engineering and Automated Learning
- Place of Presentation
  Burgos, Spain
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Free Energy of Stochastic Context Free Grammar on Variational Bayes2006
- Author(s)
  T. Hosino, K. Watanabe, S. Watanabe
- Organizer
  Proc. of ICONIP
- Place of Presentation
  Honkong, China
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Asymptotic Behavior of Stochastic Complexity of Complete Bipartite Graph-Type Boltzmann Machines2006
- Author(s)
  Yu Nishiyama, S. Watanabe
- Organizer
  Proc. of ICONIP
- Place of Presentation
  Honkong, China
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Localized Bayes Estimation for Non-identifiable Models2006
- Author(s)
  S. Takamatsu, S. Nakajima, S. Watanabe
- Organizer
  Proc. of International Conference on Neural Information Processing
- Place of Presentation
  Honkong, China
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Analytic Equivalence of Bayes a Posteriori Distributions2006
- Author(s)
  T. Matsuda, S. Watanabe
- Organizer
  Proc. of ICANN
- Place of Presentation
  Athens, Greece
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] The Exchange Monte Carlo Method for Bayesian Learning in Singular Learning Machines2006
- Author(s)
  K. Nagata, S. Watanabe
- Organizer
  Proc. of IEEE World Congress on Computational Intelligence
- Place of Presentation
  Vancouver, Canada
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Generalization Performance of Exchange Monte Carlo Method for Normal Mixture Models2006
- Author(s)
  K. Nagata, S. Watanabe
- Organizer
  Proc. of 7th International Conference on Intelligent Data Engineering and Automated Learning
- Place of Presentation
  Burgos, Spain
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] Generalization Error of Three Layered Learning Model in Bayesian Estimation2006
- Author(s)
  M. Aoyagi, S. Watanabe
- Organizer
  Proc. of the 2nd IASTED International Conference on Computational Intelligence
- Place of Presentation
  San Francisco, California, USA
- Data Source
  KAKENHI-PROJECT-18079007
[Presentation] 尤度関数がガウス近似できないときの統計的学習の評価指標について
- Author(s)
  渡邊澄夫
- Organizer
  電子情報通信学会音声研究会
- Place of Presentation
  花巻温泉ホテル, 花巻市
- Year and Date
  2014-07-24 – 2014-07-26
- Invited
- Data Source
  KAKENHI-PROJECT-23500172
[Presentation] irational Invariants in Marginal Likelihood Computation
- Author(s)
  渡邊澄夫
- Organizer
  2014 NIMS Thematic Program on Algebraic Statistics
- Place of Presentation
  National Institute of Mathematical Sciences, Daejeon, South Korea
- Year and Date
  2014-07-14 – 2014-07-17
- Invited
- Data Source
  KAKENHI-PROJECT-23500172
[Presentation] Discovery Phenomenon and Information Criteria
- Author(s)
  渡邊澄夫
- Organizer
  The Seventh Workshop on Information Theoretic Methods in Science and Engineering
- Place of Presentation
  Sheraton Waikiki Hotel, Honolulu, USA
- Year and Date
  2014-07-05 – 2014-07-07
- Invited
- Data Source
  KAKENHI-PROJECT-23500172

1. YAMAZAKI Keisuke (60376936)

# of Collaborated Projects: 3 results

# of Collaborated Products: 6 results
2. KABASHIMA Yoshiyuki (80260652)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
3. OBUCHI Tomoyuki (40588448)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 竹田晃人 (70397040)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 坂田綾香 (80733071)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 井上純一 (30311658)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 渡辺治

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Watanabe Sumio 渡邊 澄夫

WATANABE SUMIO 渡邊 澄夫

WATANABE Sumio 渡邊 澄夫

Research Projects

Research Products

Co-Researchers

Information Criterion WBIC and its improvementPrincipal Investigator

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Difference between marginal likelihood and generalization error as statistical model evaluation based on algebraic geometry and structure learning theoryPrincipal Investigator

Principal Investigator

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Research Institution

Statistical mechanics approach to massive sparse modeling

Principal Investigator

Project Period (FY)

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Structure Learning Theory and Birational GeometryPrincipal Investigator

Principal Investigator

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Establishment of Information Physics based on algebraic geometryPrincipal Investigator

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Review Section

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Establishment of Algebraic Geometrical Methods in Statistical Learning TheoryPrincipal Investigator

Principal Investigator

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Mathematical foundation of Singular Learning Machines based on Algebraic Geometry and AnalysisPrincipal Investigator

Principal Investigator

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Sovable Models of Finite Multi-resolution analysisPrincipal Investigator

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[Book] Mathematical theory of Bayesian statistics2018

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[Book] ランダム行列の数理と科学2014

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[Book] ベイズ統計の理論と方法2012

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[Book] 特異モデルの学習理論(数理科学事典)2010

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[Book] Algebraic geometry and statistical learning theory2009

Author(s)

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[Book] Algebraic Geometry and Statistical Learning Theory2009

Author(s)

Watanabe Sumio 渡邊澄夫

WATANABE SUMIO 渡邊澄夫

WATANABE Sumio 渡邊澄夫