Results 11 to 20 of about 24,593 (203)
A new Tikhonov regularization method [PDF]
Numerical Algorithms, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuhry, Martin, Reichel, Lothar
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A Combined Use of TSVD and Tikhonov Regularization for Mass Flux Solution in Tibetan Plateau
Remote Sensing, 2020 Limited by the Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On (GRACE-FO) measurement principle and sensors, the spatial resolution of mass flux solutions is about 2–3° in mid-latitudes at monthly intervals.
Tianyi Chen +3 more
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Fractional Regularized Distorted Born Iterative Method for Permittivity Reconstruction [PDF]
Radioengineering, 2022 In this paper, we propose a fractional regularized distorted Born iterative method (DBIM) to solve non-linear ill-posed problems of microwave imaging.
A. D. Magdum +2 more
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DIAS: A Data-Informed Active Subspace Regularization Framework for Inverse Problems
Computation, 2022 This paper presents a regularization framework that aims to improve the fidelity of Tikhonov inverse solutions. At the heart of the framework is the data-informed regularization idea that only data-uninformed parameters need to be regularized, while the ...
Hai Nguyen +2 more
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Nonstationary Iterated Tikhonov Regularization
Journal of Optimization Theory and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Groetsch, Charles W., Hanke, Martin
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Bayesian regularization: From Tikhonov to horseshoe [PDF]
WIREs Computational Statistics, 2019 Bayesian regularization is a central tool in modern‐day statistical and machine learning methods. Many applications involve high‐dimensional sparse signal recovery problems. The goal of our paper is to provide a review of the literature on penalty‐based regularization approaches, from Tikhonov (Ridge, Lasso) to horseshoe regularization.This article is ...
Polson, Nicholas G., Sokolov, Vadim
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Convergence Rates for Inverse Problems with Impulsive Noise [PDF]
, 2014 We study inverse problems F(f) = g with perturbed right hand side g^{obs} corrupted by so-called impulsive noise, i.e. noise which is concentrated on a small subset of the domain of definition of g. It is well known that Tikhonov-type regularization with
Hohage, Thorsten, Werner, Frank
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Iterated fractional Tikhonov regularization [PDF]
Inverse Problems, 2015 AbstractWe consider linear operator equations of the form where $K:{\cal X}\to{\cal Y}$ is a compact linear operator between Hilbert spaces ${\cal X} \hbox{ and } {\cal Y}.$ We assume y to be attainable, i.e., that problem (1) has a solution x† = K†y of minimal norm.
Bianchi, Davide +3 more
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Augmented Tikhonov Regularization Method for Dynamic Load Identification
Applied Sciences, 2020 We introduce the augmented Tikhonov regularization method motivated by Bayesian principle to improve the load identification accuracy in seriously ill-posed problems.
Jinhui Jiang +4 more
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Fractional regularization matrices for linear discrete ill-posed problems [PDF]
, 2015 The numerical solution of linear discrete ill-posed problems typically requires regularization. Two of the most popular regularization methods are due to Tikhonov and Lavrentiev. These methods require the choice of a regularization matrix. Common choices
Lothar Reichel +2 more
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