@book{CTT100614523,
  author = {渡邊澄夫},
  title = {特異モデルの学習理論},
  publisher = {},
  year = 2010,
}

@article{CTT100589311,
  author = {SUMIO WATANABE},
  title = {Equations of states in singular statistical estimation},
  journal = {Neural Networks},
  year = 2010,
}

@article{CTT100591352,
  author = {SUMIO WATANABE},
  title = {A limit theorem in singular regression problem},
  journal = {Advanced Studies in Pure Mathematics},
  year = 2010,
}

@article{CTT100619293,
  author = {SUMIO WATANABE},
  title = {Asymptotic equivalence of Bayes cross validation and widely applicable information criterion in singular learning theory},
  journal = {Journal of Machine Learning Research},
  year = 2010,
}

@article{CTT100614516,
  author = {松田健 and 渡邊澄夫},
  title = {重みつきブローアップの混合正規分布への応用},
  journal = {電子情報通信学会誌},
  year = 2010,
}

@article{CTT100599955,
  author = {SUMIO WATANABE},
  title = {Equations of states in statistical learning for an unrealizable and regular case},
  journal = {IEICE Transactions},
  year = 2010,
}

@article{CTT100599972,
  author = {Keisuke Yamazaki and Miki Aoyagi and Sumio Watanabe},
  title = {Asymptotic Analysis of Bayesian Generalization Error with Newton Diagram},
  journal = {Neural Networks},
  year = 2010,
}

@article{CTT100801080,
  author = {Saitoh F. and SUMIO WATANABE},
  title = {On generalization error of self-organizing map},
  journal = {Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)},
  year = 2010,
}

@inproceedings{CTT100614518,
  author = {SUMIO WATANABE},
  title = {Asymptotic learning curve and renormalizable condition in statistical learning theory},
  booktitle = {Journal of Physics Conference Series},
  year = 2010,
}

@inproceedings{CTT100614521,
  author = {渡邊澄夫},
  title = {確率論における極限定理と双有理不変量},
  booktitle = {日本数学会２０１０年春季大会},
  year = 2010,
}

@inproceedings{CTT100600523,
  author = {Kaori Fujiwara and SUMIO WATANABE},
  title = {Determining the Number of the Components of Gaussian Mixture Models},
  booktitle = {Proc. of IASTED},
  year = 2010,
}

@misc{CTT100614520,
  author = {渡邊澄夫},
  title = {学習理論に現れる数学},
  year = 2010,
}


@misc{CTT100715469,
  author = {渡邊澄夫},
  title = {情報量規準 WAIC と WBIC},
  year = 2010,
  note = {2010-2016},
}