"SUMIO WATANABE","Asymptotic equivalence of Bayes cross validation and widely applicable information criterion in singular learning theory",,"Journal of Machine Learning Research",,"Vol. 11",,"pp. 3571-3591",2010,Dec.
"渡邊澄夫","学習理論に現れる数学",,"現代思想",,"Vol. 2010年","No. 9","pp. 164-173",2010,Sept.
"SUMIO WATANABE","Asymptotic learning curve and renormalizable condition in statistical learning theory",,"Journal of Physics Conference Series",,"Vol. 233","No. 1","  012014",2010,July
"SUMIO WATANABE","A limit theorem in singular regression problem",,"Advanced Studies in Pure Mathematics",,"Vol. 57",,"pp. 473-492",2010,Apr.
"松田健,渡邊澄夫","重みつきブローアップの混合正規分布への応用",,"電子情報通信学会誌",,"Vol. J93-A","No. 4","pp. 300-308",2010,Apr.
"渡邊澄夫","確率論における極限定理と双有理不変量",,"日本数学会２０１０年春季大会",,"Vol. 2010年",,,2010,Mar.
"SUMIO WATANABE","Equations of states in statistical learning for an unrealizable and regular case",,"IEICE Transactions",,"Vol. E93-A","No. 3","pp. 617-626",2010,Mar.
"Kaori Fujiwara,SUMIO WATANABE","Determining the Number of the Components of Gaussian Mixture Models","Massachusetts, USA","Proc. of IASTED",,,"  CD-ROM",,2010,Feb.
"SUMIO WATANABE","Equations of states in singular statistical estimation",,"Neural Networks","Elsevier","Vol. 23","No. 1","pp. 20-34",2010,Jan.
"渡邊澄夫","特異モデルの学習理論",,"現代数理科学事典",,,,,2010,Jan.
"Keisuke Yamazaki,Miki Aoyagi,Sumio Watanabe","Asymptotic Analysis of Bayesian Generalization Error with Newton Diagram",,"Neural Networks","Elsevior","Vol. 23","No. 1","pp. 35-43",2010,Jan.
"Saitoh F.,SUMIO WATANABE","On generalization error of self-organizing map",,"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",,"Vol. 6444 LNCS","No. PART 2","pp. 399-406",2010,