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Neural Networks : the Official Journal of the International Neural Network Society|July 5, 2005
Stochastic complexities of reduced rank regression in Bayesian estimationMiki Aoyagi, Sumio WatanabeNeural Networks : the Official Journal of the International Neural Network Society|August 21, 2009
Asymptotic analysis of Bayesian generalization error with Newton diagramKeisuke Yamazaki, Miki Aoyagi, Sumio WatanabeEntropy (Basel, Switzerland)|December 3, 2020
Learning Coefficient of Vandermonde Matrix-Type Singularities in Model SelectionMiki AoyagiNeural Networks : the Official Journal of the International Neural Network Society|January 26, 2024
Consideration on the learning efficiency of multiple-layered neural networks with linear unitsMiki AoyagiNeural Networks : the Official Journal of the International Neural Network Society|August 25, 2009
Equations of states in singular statistical estimationSumio WatanabePhilosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences|March 27, 2023
Mathematical theory of Bayesian statistics for unknown information sourceSumio WatanabeNeural Computation|February 3, 2012
Learning coefficient of generalization error in Bayesian estimation and vandermonde matrix-type singularityMiki Aoyagi, Kenji NagataNeural Computation|March 14, 2007
Variational Bayes solution of linear neural networks and its generalization performanceShinichi Nakajima, Sumio WatanabeNeural Networks : the Official Journal of the International Neural Network Society|December 25, 2003
Singularities in mixture models and upper bounds of stochastic complexityKeisuke Yamazaki, Sumio WatanabeNeural Networks : the Official Journal of the International Neural Network Society|February 27, 2009
Accuracy of Loopy belief propagation in Gaussian modelsYu Nishiyama, Sumio WatanabePageof 31