"Daisuke Kaji,SUMIO WATANABE","Optimal Hyperparameters for Generalized Learning and Knowledge Discovery in Variational Bayes",,"Proc. of ICONIP",,,"  CD-ROM",,2009,Dec.
"梶大介,渡邊澄夫","形式的情報量規準による決定株を用いた AdaBoost のモデル選択",,"電子情報通信学会誌",,"Vol. J92-D","No. 11","pp. 2051-2058",2009,Nov.
"SUMIO WATANABE","A Singular limit theorem in statistical learning theory",,"Proc. of Mathematical Quantum Field Theory and Renormalization Theory",,"Vol. 1",,,2009,Nov.
"Taruhi Iwagaki,SUMIO WATANABE","Generalization Error by Langevin Equation in Singular Learning Machines",,"Proc. of ISITA",,"Vol. 1","  CD-ROM",,2009,Oct.
"Shinji Oyama,SUMIO WATANABE","Phase Transition of Generalization Errors in Variational Bayes Learning",,"Proc. of ISITA",,,"  CD-ROM",,2009,Oct.
"SUMIO WATANABE","Algebraic geometry and statistical learning theory",,,"Cambridge University Press",,,"pp. 1-286",2009,Aug.
"SUMIO WATANABE","Two birational invariants in statistical learning theory","JSPS Forum on Singularities",,,,,,2009,Aug.
"渡邊澄夫","有理型関数と学習理論",,"数理科学","サイエンス社","Vol. 554",,"pp. 50-51",2009,Aug.
"Yu Nishiyama,Sumio Watanabe","Accuracy of Loopy Belief Propagation in Gaussian Models",,"Neural Networks","Elsevior","Vol. 22","No. 4","pp. 385-394",2009,May
"Miki Aoyagi,SUMIO WATANABE","The zeta function for learning theory and resolution of singularities",,"More Progresses in Analysis","World Scientific","Vol. 1",,"pp. 279-288",2009,Mar.
"Kazuho Watanabe,Shiga Motoki,SUMIO WATANABE","Upper bound for variational free energy of Bayesian networks",,"Machine Learning",,"Vol. 75","No. 2","pp. 199-215",2009,Feb.