著書

• 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, Mar. 2009.

国際会議発表 (査読有り)

• miki aoyagi, SUMIO WATANABE. Resolution of Singularities and Stochastic Complexity of Complete Bipartite Graph-Type Spin Model in Bayesian Estimation, Proc. of MDAI, pp. 443-454, 2007.
• miki aoyagi, SUMIO WATANABE. The zeta function for learning theory and resolution of singularities, Proc. of ISAAC, 2005.

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