Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Optimal Regularization for Ill-Posed Problems by means of MAICE-DP method
YOHSUKE HOSODATAKASHI KITAGAWA
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1993 Volume 3 Issue 2 Pages 47-58

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Abstract
In this paper, we study MAICE-DP method for ill-posed problems. MAICE-DP method is based on Minimum AIC Estimation proposed by K.Tanabe[7] and Discrepancy Principle proposed by V.A.Morozov[3][6]. AIC proposed by H.Akaike[1][2] is one of the most famous information criterions and MAICE is very effective for data smoothing problems. Moreover, DP is well established theorically. But, in practice, this matching method, MAICE-DP, is not effective in solving ill-posed problems. We show this with the aid of numerical examples.
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© 1993 The Japan Society for Industrial and Applied Mathematics
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