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Resolution-enhanced transport of intensity phase imaging using contrast transfer function reformulation and SNR-guided deconvolution. [PDF]
Shanmugavel SC, Zhu Y.
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Axial X-Ray Microscopy in Nanotomography. [PDF]
Gaikovich KP +3 more
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Deep learning for atrial electrogram estimation: toward non-invasive arrhythmia mapping using variational autoencoders. [PDF]
Gutiérrez-Fernández M +5 more
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Improving the robustness of the immersed interface method through regularized velocity reconstruction. [PDF]
Sun Q, Kolahdouz EM, Griffith BE.
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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 +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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Tikhonov regularization of metrically regular inclusions
Positivity, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gaydu, Michaël, Geoffroy, Michel H.
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