@article{CTT100838131,
  author = {Natsuki Kariya and Sumio Watanabe},
  title = {Testing Homogeneity for Normal Mixture Models: Variational Bayes Approach},
  journal = {IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences},
  year = 2020,
}

@article{CTT100838132,
  author = {Natsuki Kariya and Sumio Watanabe},
  title = {Asymptotic analysis of singular likelihood ratio of normal mixture by Bayesian learning theory for testing homogeneity},
  journal = {Communications in Statistics - Theory and Methods},
  year = 2020,
}

@article{CTT100818855,
  author = {Naoki Hayashi and Sumio Watanabe},
  title = {Asymptotic Bayesian Generalization Error in Latent Dirichlet Allocation  and Stochastic Matrix Factorization},
  journal = {Springer Nature Computer Science},
  year = 2020,
}

@inproceedings{CTT100838134,
  author = {SUMIO WATANABE},
  title = {ベイズ統計における情報量規準とクロスバリデーション},
  booktitle = {},
  year = 2020,
}

@inproceedings{CTT100838133,
  author = {Sumio Watanabe},
  title = {Singular Learning Theory and Information Criteria},
  booktitle = {},
  year = 2020,
}

@inproceedings{CTT100819593,
  author = {Shuya Nagayasu and SUMIO WATANABE},
  title = {最適な確率分布が一意でないときのベイズ学習曲線},
  booktitle = {信学技報},
  year = 2020,
}

@inproceedings{CTT100818862,
  author = {Raiki Tanaka and SUMIO WATANABE},
  title = {Swish 関数を用いた階層型神経回路網の実対数閾値},
  booktitle = {信学技報},
  year = 2020,
}

@inproceedings{CTT100818861,
  author = {Takumi Watanabe and SUMIO WATANABE},
  title = {混合多項分布のベイズ汎化誤差の漸近挙動},
  booktitle = {信学技報},
  year = 2020,
}