A mathematical foundation on Poggio's regularization theory

Kohtaro Watanabe, Akira Namatame, E. Kashiwaghi · 2005

This paper justifies the regularization theory for learning of an input-output mapping from a set of examples, which was proposed by Poggio. Moreover, the relationships between the dimension of input space, the restriction condition and the smoothness of the map obtained as a solution are proposed.

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