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Tikhonov regularization of large symmetric problems
Numerical Linear Algebra with Applications, 2004AbstractMany popular solution methods for large discrete ill‐posed problems are based on Tikhonov regularization and compute a partial Lanczos bidiagonalization of the matrix. The computational effort required by these methods is not reduced significantly when the matrix of the discrete ill‐posed problem, rather than being a general nonsymmetric matrix,
Daniela Calvetti +2 more
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Tikhonov Regularization of Large Linear Problems
BIT Numerical Mathematics, 2003The authors present a new numerical method for computing regularized solutions of Tikhonov regularization applied to large scale discrete linear ill-posed problems. The method is based on Lanczos bidiagonalization and Gauss quadrature. For choosing the regularization parameter the discrepancy principle is used.
Calvetti, Daniela, Reichel, Lothar
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Tikhonov regularization with nonnegativity constraint
2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. CALVETTI +3 more
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Training with Noise is Equivalent to Tikhonov Regularization
Neural Computation, 1995It is well known that the addition of noise to the input data of a neural network during training can, in some circumstances, lead to significant improvements in generalization performance. Previous work has shown that such training with noise is equivalent to a form of regularization in which an extra term is added to the error function. However, the
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On the Tikhonov regularization of affine pseudomonotone mappings
Optimization Letters, 2013The author gives some characterizations of the pseudomonotonicity in connection with the affine mappings on a nonempty closed convex subset \(K\subset \mathbb{R}^n\) and the non-negative orthant \(\mathbb{R}^{n}_{+}\), respectively. The author describes a class of affine pseudomonotone mappings whose regularized operators are not pseudomonotone.
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On Krylov projection methods and Tikhonov regularization [PDF]
, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gazzola S, Novati P, Russo M.R.
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Recursive filtering 2D Tikhonov regularization
2022 35th SIBGRAPI Conference on Graphics, Patterns and Images (SIBGRAPI), 2022Hermes H. Ferreira, Eduardo S. L. Gastal
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Tikhonov Fixed—Point Regularization
2000The main purpose of this note is to propose viscosity approximation methods which amount to selecting a particular fixed-point of a given nonexpansive self mapping in a general Hilbert space. The connection with the selection principles of Attouch, in the context of convex minimization and monotone inclusion problems, is made and an application to a ...
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