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Sumio Watanabe: [Publications] [Author Rank by year] [Co-authors] [Prefers] [Cites] [Cited by]

Publications of Author

  1. Sumio Watanabe
    Algebraic Analysis for Singular Statistical Estimation. [Citation Graph (0, 0)][DBLP]
    ATL, 1999, pp:39-50 [Conf]
  2. Kazuho Watanabe, Sumio Watanabe
    Estimation of the Data Region Using Extreme-Value Distributions. [Citation Graph (0, 0)][DBLP]
    ALT, 2004, pp:206-220 [Conf]
  3. 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]
  4. 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]
  5. 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]
  6. Takeshi Matsuda, Sumio Watanabe
    Analytic Equivalence of Bayes a Posteriori Distributions. [Citation Graph (0, 0)][DBLP]
    ICANN (1), 2006, pp:113-121 [Conf]
  7. 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]
  8. 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]
  9. 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]
  10. 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]
  11. Sumio Watanabe
    Inequalities of Generalization Errors for Layered Neural Networks in Bayesian Learning. [Citation Graph (0, 0)][DBLP]
    ICONIP, 1998, pp:59-62 [Conf]
  12. 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]
  13. 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]
  14. 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]
  15. Sumio Watanabe
    Algebraic Information Geometry for Learning Machines with Singularities. [Citation Graph (0, 0)][DBLP]
    NIPS, 2000, pp:329-335 [Conf]
  16. 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]
  17. Sumio Watanabe
    Solvable Models of Artificial Neural Networks. [Citation Graph (0, 0)][DBLP]
    NIPS, 1993, pp:423-430 [Conf]
  18. Sumio Watanabe
    Algebraic Analysis for Non-regular Learning Machines. [Citation Graph (0, 0)][DBLP]
    NIPS, 1999, pp:356-362 [Conf]
  19. 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]
  20. Kazuho Watanabe, Sumio Watanabe
    Variational Bayesian Stochastic Complexity of Mixture Models. [Citation Graph (0, 0)][DBLP]
    NIPS, 2005, pp:- [Conf]
  21. Keisuke Yamazaki, Sumio Watanabe
    Stochastic Complexity of Bayesian Networks. [Citation Graph (0, 0)][DBLP]
    UAI, 2003, pp:592-599 [Conf]
  22. 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]
  23. 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]
  24. 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]
  25. Sumio Watanabe
    Algebraic Analysis for Nonidentifiable Learning Machines. [Citation Graph (0, 0)][DBLP]
    Neural Computation, 2001, v:13, n:4, pp:899-933 [Journal]
  26. 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]
  27. 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]
  28. 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]
  29. 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]
  30. 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]
  31. 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]
  32. 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]
  33. 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]
  34. Yu Nishiyama, Sumio Watanabe
    Theoretical Analysis of Accuracy of Gaussian Belief Propagation. [Citation Graph (0, 0)][DBLP]
    ICANN (1), 2007, pp:29-38 [Conf]
  35. 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]
  36. Kenji Nagata, Sumio Watanabe
    Algebraic Geometric Study of Exchange Monte Carlo Method. [Citation Graph (0, 0)][DBLP]
    ICANN (1), 2007, pp:687-696 [Conf]
  37. Shinichi Nakajima, Sumio Watanabe
    Generalization Error of Automatic Relevance Determination. [Citation Graph (0, 0)][DBLP]
    ICANN (1), 2007, pp:1-10 [Conf]
  38. 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]
  39. 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]
  40. 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]
  41. Sumio Watanabe
    Almost All Learning Machines are Singular. [Citation Graph (0, 0)][DBLP]
    FOCI, 2007, pp:383-388 [Conf]
  42. Kenji Nagata, Sumio Watanabe
    Analysis of Exchange Ratio for Exchange Monte Carlo Method. [Citation Graph (0, 0)][DBLP]
    FOCI, 2007, pp:434-439 [Conf]

  43. On the Minima of Bethe Free Energy in Gaussian Distributions. [Citation Graph (, )][DBLP]


  44. Generalization of Concave and Convex Decomposition in Kikuchi Free Energy. [Citation Graph (, )][DBLP]


  45. Experimental Bayesian Generalization Error of Non-regular Models under Covariate Shift. [Citation Graph (, )][DBLP]


  46. Experimental Analysis of Exchange Ratio in Exchange Monte Carlo Method. [Citation Graph (, )][DBLP]


  47. Experimental Study of Ergodic Learning Curve in Hidden Markov Models. [Citation Graph (, )][DBLP]


  48. Design of Exchange Monte Carlo Method for Bayesian Learning in Normal Mixture Models. [Citation Graph (, )][DBLP]


  49. Model Selection Method for AdaBoost Using Formal Information Criteria. [Citation Graph (, )][DBLP]


  50. Optimal Hyperparameters for Generalized Learning and Knowledge Discovery in Variational Bayes. [Citation Graph (, )][DBLP]


  51. The Exchange Monte Carlo Method for Bayesian Learning in Singular Learning Machines. [Citation Graph (, )][DBLP]


  52. A formula of equations of states in singular learning machines. [Citation Graph (, )][DBLP]


  53. The Calculation Method of Learning Coefficients by Weighted Resolution of Singularities. [Citation Graph (, )][DBLP]


  54. Solvable models of layered neural networks based on their differential structure. [Citation Graph (, )][DBLP]


  55. Equations of States in Singular Statistical Estimation [Citation Graph (, )][DBLP]


  56. A Limit Theorem in Singular Regression Problem [Citation Graph (, )][DBLP]


  57. Equations of States in Statistical Learning for a Nonparametrizable and Regular Case [Citation Graph (, )][DBLP]


  58. Asymptotic Learning Curve and Renormalizable Condition in Statistical Learning Theory [Citation Graph (, )][DBLP]


  59. Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable Information Criterion in Singular Learning Theory [Citation Graph (, )][DBLP]


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