Results 251 to 260 of about 541,360 (283)

What do we Learn from the Discrepancy Principle?

Zeitschrift für Analysis und ihre Anwendungen, 2006
The author analyzes the discrepancy principle when smoothness is given in terms of general source conditions. As it turns out, this framework is particularly well suited to reveal the mechanism under which this principle works. For general source conditions there is no explicit way to compute rates of convergence.
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Adaptive regularization for color image restoration using discrepancy principle

2013 IEEE International Conference on Signal Processing, Communication and Computing (ICSPCC 2013), 2013
In this paper, we consider and study how to automatically select the regularization parameter in a color total variation minimization model for image restoration. The idea is based on that the variance of the noise can be estimated easily, thus the restored image should satisfy the Morozov discrepancy principle.
A. Zhibin Chen, B. Xiao-Mei Huo, C. You-Wei Wen   +2 more
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A generalized discrepancy principle for the L-pseudosolutions

USSR Computational Mathematics and Mathematical Physics, 1987
See the review in Zbl 0638.47010.
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Comments on Morozov’s Discrepancy Principle

1983
The choice of regularization parameter by Morozov’s principle is characterized in a new way and is related to another parameter choice strategy. An asymptotic order of accuracy is derived which is essentially best possible and a discrepancy principle is developed in a finite element context.
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Morozov's discrepancy principle and Tikhonov-type functionals

Inverse Problems, 2008
This paper deals with the well-known discrepancy principle of Morozov. We show that the principle can be used as an a posteriori choice rule for determining the regularization parameter of Tikhonov regularization considering more general penalty terms than the classical quadratic one. We show regularization properties as well as convergence rates.
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Stochastic projection spline regularization based on the discrepancy principle

USSR Computational Mathematics and Mathematical Physics, 1987
See the review in Zbl 0636.65086.
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Optimization aspects of the generalized discrepancy principle in regularization

Optimization, 1986
The generalized discrepancy principle in regularization is investigated from the optimization point of view. Tikhonov's regularization method can be considered as a Lagrange multiplier method. This approach allows formulating a search algorithm for choosing the regularization parameter.
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MOROZOV'S DISCREPANCY PRINCIPLE FOR TIKHONOV-REGULARIZATION OF NONLINEAR OPERATORS

Numerical Functional Analysis and Optimization, 2002
ABSTRACT We consider Morozov's discrepancy principle for Tikhonov-regularization of nonlinear operator equations. It is shown that minor restrictions to the operator F and the solution x* of the equation already guarantee the existence of a regularization parameter α such that holds, and a convergence rate result is given.
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A generalized discrepancy principle

USSR Computational Mathematics and Mathematical Physics, 1973
Goncharskij, A. V., Leonov, A. S., Yagola, A. G.   +2 more
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On the connection between the generalized discrepancy method and the generalized discrepancy principle for non-linear ill-posed problems

USSR Computational Mathematics and Mathematical Physics, 1982
The generalized residual principle is a method for choosing the regularization parameter in Tikhonov's method for the solution of ill- posed problems. It is shown that the approximations computed by this choice converge to the so-called normal solution of the problem.
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