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A New k-Space Model for Non-Cartesian Fourier Imaging. [PDF]
Chan CC, Haldar JP.
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Enhanced Inversion for Distributed Acoustic Sensing: A Robust Approach with HOLp-OGS Regularization. [PDF]
Xu W, Li J, Wu Y, Geng W, Gao B, Han L.
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Tikhonov Regularization and Randomized GSVD
SIAM Journal on Matrix Analysis and Applications, 2016Summary: The generalized singular value decomposition (GSVD) is one of the essential tools in numerical linear algebra. This paper proposes a regularization method, combining Tikhonov regularization in general form with the truncated GSVD. Then the randomized algorithms are adopted to implement the truncation process.
Yimin Wei, Liping Zhang, Pengpeng Xie
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Iterated Tikhonov regularization with a general penalty term
Tikhonov regularization is one of the most popular approaches to solving linear discrete ill-posed problems. The choice of the regularization matrix may significantly affect the quality of the computed solution.
Marco Donatelli +2 more
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Tikhonov regularization based on generalized Krylov subspace methods
We consider Tikhonov regularization of large linear discrete ill-posed problems with a regularization operator of general form and present an iterative scheme based on a generalized Krylov subspace method.
Qiang Ye +2 more
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A Regularization Parameter for Nonsmooth Tikhonov Regularization
SIAM Journal on Scientific Computing, 2011In this paper we develop a novel rule for choosing regularization parameters in nonsmooth Tikhonov functionals. It is solely based on the value function and applicable to a broad range of nonsmooth models, and it extends one known criterion. A posteriori error estimates of the approximations are derived.
Kazufumi Ito +2 more
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On simplified Tikhonov regularization
Journal of Optimization Theory and Applications, 1988Approximations to the minimal norm, least-square solution of a linear equation with positive semidefinite operator are defined in such a way that fewer computations are needed than in Tikhonov's approach. We establish necessary and sufficient conditions for convergence, and we provide a choice for the regularization parameter \(\alpha\) that brings the
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The Tikhonov regularization for vector equilibrium problems
Computational Optimization and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lam Quoc Anh +3 more
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Augmented Tikhonov regularization
Inverse Problems, 2008This paper proposes a regularizing functional of Tikhonov type that determines the regularization parameter and the noise level along with the solutions for linear inverse problems in the Bayesian framework. The existence of minimizers to the functional is shown, and properties of the minimizers are studied.
Bangti Jin, Jun Zou
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