"Natsuki Kariya,Sumio Watanabe","Asymptotic analysis of singular likelihood ratio of normal mixture by Bayesian learning theory for testing homogeneity",,"Communications in Statistics - Theory and Methods",,"Vol. 42",,,2020,Nov.
"Natsuki Kariya,Sumio Watanabe","Testing Homogeneity for Normal Mixture Models: Variational Bayes Approach",,"IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences",,"Vol. 103A","No. 11","pp. 1274-1282",2020,Nov.
"SUMIO WATANABE","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","行動計量学会",,,,,,2020,Sept.
"Sumio Watanabe","Singular Learning Theory and Information Criteria","統計連合大会",,,,,,2020,Sept.
"Shuya Nagayasu,SUMIO WATANABE","最適な確率分布が一意でないときのベイズ学習曲線",,"信学技報",,"vol. 119","no. 453","pp. 107-112",2020,Mar.
"Naoki Hayashi,Sumio Watanabe","Asymptotic Bayesian Generalization Error in Latent Dirichlet Allocation  and Stochastic Matrix Factorization",,"Springer Nature Computer Science","Springer Nature","vol. 1","no. 2","pp. 1-22",2020,Feb.
"Raiki Tanaka,SUMIO WATANABE","Swish 関数を用いた階層型神経回路網の実対数閾値",,"信学技報",,"vol. 119","no. 360","pp. 9-15",2020,Jan.
"Takumi Watanabe,SUMIO WATANABE","混合多項分布のベイズ汎化誤差の漸近挙動",,"信学技報",,"vol. 119","no. 360","pp. 1-8",2020,Jan.