"SUMIO WATANABE","Higher Order Equivalence of Bayes Cross Validation and WAIC",,"Springer Proceedings in Mathematics and Statistics, Information Geometry and Its Applications",,,,"pp. 47-73",2018,Nov. "SUMIO WATANABE","構造学習理論と代数幾何学",,,,,,,2018,Sept. "Natsuki Kariya,SUMIO WATANABE","混合正規分布の均一性検定におけるベイズ検定統計量の漸近挙動","2018年度統計関連連合大会",,,,,,2018,Sept. "SUMIO WATANABE","機械学習の数学入門",,"数理科学 2018年8月号",,"vol. 662",,"pp. 5-13",2018,Aug. "SUMIO WATANABE","ベイズ事後分布の相転移について","産総研AIセミナー",,,,,,2018,July "SUMIO WATANABE","Mathematical theory of Bayesian statistics",,,"CRC Press",,,,2018,May "SUMIO WATANABE","Cross Validation and WAIC in layered neural networks","Deep Learning: Theory, Algorithms, and Applications",,,,,,2018,Mar. "SUMIO WATANABE","統計力学と統計学の形式的な相違点を考えることに物理学の課題があるだろうか","統計物理学懇談会(第 6 回)",,,,,,2018,Mar. "Naoki Hayashi,SUMIO WATANABE","ハミルトニアンモンテカルロ法を用いた確率行列分解における実対数閾値の実験的考察","NC研究会",,,,,,2018,Mar. "Kenji Sato,SUMIO WATANABE","混合ポアソン分布の実対数閾値とベイズ汎化誤差について","情報論的学習理論と機械学習研究会",,,,,,2018,Mar.