Near-Optimal Parameters for Tikhonov and Other Regularization Methods
نویسندگان
چکیده
منابع مشابه
Near-Optimal Parameters for Tikhonov and Other Regularization Methods
Choosing the regularization parameter for an ill-posed problem is an art based on good heuristics and prior knowledge of the noise in the observations. In this work, we propose choosing the parameter, without a priori information, by approximately minimizing the distance between the true solution to the discrete problem and the family of regularized solutions. We demonstrate the usefulness of t...
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In this paper, we consider large-scale linear discrete ill-posed problems where the right-hand side contains noise. Regularization techniques such as Tikhonov regularization are needed to control the effect of the noise on the solution. In many applications such as in image restoration the coefficient matrix is given as a Kronecker product of two matrices and then Tikhonov regularization proble...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2001
ISSN: 1064-8275,1095-7197
DOI: 10.1137/s1064827599354147