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Deep learning for atrial electrogram estimation: toward non-invasive arrhythmia mapping using variational autoencoders. [PDF]

Front Physiol
Gutiérrez-Fernández M, López-Linares K, Fambuena-Santos C, Guillem MS, Climent AM, Barquero-Pérez Ó.   +5 more
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Tikhonov Regularization and Randomized GSVD

SIAM Journal on Matrix Analysis and Applications, 2016
Summary: 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
exaly   +3 more sources

A Regularization Parameter for Nonsmooth Tikhonov Regularization

SIAM Journal on Scientific Computing, 2011
In 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, Bangti Jin, Tomoya Takeuchi   +2 more
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On simplified Tikhonov regularization

Journal of Optimization Theory and Applications, 1988
Approximations 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, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lam Quoc Anh, Tran Quoc Duy, Le Dung Muu, Truong Van Tri   +3 more
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Augmented Tikhonov regularization

Inverse Problems, 2008
This 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, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gaydu, Michaël, Geoffroy, Michel H.
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Tikhonov regularization of large symmetric problems

Numerical Linear Algebra with Applications, 2004
AbstractMany 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, Lothar Reichel, A. Shuibi   +2 more
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Tikhonov Regularization of Large Linear Problems

BIT Numerical Mathematics, 2003
The 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

2004
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D. CALVETTI, B. LEWIS, L. REICHEL, SGALLARI, FIORELLA   +3 more
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