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Title
Japanese: 
English:A Singular limit theorem in statistical learning theory 
Author
Japanese: 渡邊澄夫.  
English: SUMIO WATANABE.  
Language English 
Journal/Book name
Japanese: 
English:Proc. of Mathematical Quantum Field Theory and Renormalization Theory 
Volume, Number, Page Vol. 1       
Published date Nov. 2009 
Publisher
Japanese: 
English: 
Conference name
Japanese: 
English: 
Conference site
Japanese: 
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