Results 21 to 30 of about 208,745 (278)
Graph Tikhonov Regularization and Interpolation Via Random Spanning Forests [PDF]
IEEE Transactions on Signal and Information Processing over Networks, 2020 Novel Monte Carlo estimators are proposed to solve both the Tikhonov regularization (TR) and the interpolation problems on graphs. These estimators are based on random spanning forests (RSF), the theoretical properties of which enable to analyze the ...
Yusuf Yigit Pilavci +3 more
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An Improved Tikhonov-Regularized Variable Projection Algorithm for Separable Nonlinear Least Squares
Axioms, 2021 In this work, we investigate the ill-conditioned problem of a separable, nonlinear least squares model by using the variable projection method. Based on the truncated singular value decomposition method and the Tikhonov regularization method, we propose ...
Hua Guo, Guolin Liu, Luyao Wang
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An EPIC Tikhonov Regularization: Application to Quasi‐Static Fault Slip Inversion
Journal of Geophysical Research: Solid Earth, 2021 Imaging subsurface fault slip from surface observations is essential to improving our understanding of the physics of earthquakes and tsunamis. As the estimation of subsurface fault slip is inherently ill‐posed, common inversion methods usually require a
F. Ortega‐Culaciati +4 more
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Multi-parameter Tikhonov regularization [PDF]
Methods and Applications of Analysis, 2011 We study multi-parameter Tikhonov regularization, i.e., with multiple penalties. Such models are useful when the sought-for solution exhibits several distinct features simultaneously. Two choice rules, i.e., discrepancy principle and balancing principle, are studied for choosing an appropriate (vector-valued) regularization parameter, and some ...
Ito, Kazufumi +2 more
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Mathematical and numerical modeling of inverse heat conduction problem [PDF]
INCAS Bulletin, 2014 The present paper refers to the assessment of three numerical methods for solving the inverse heat conduction problem: the Alifanov’s iterative regularization method, the Tikhonov local regularization method and the Tikhonov equation regularization ...
Sterian DANAILA, Alina-Ioana CHIRA
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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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On the convergence of algorithms with Tikhonov regularization terms [PDF]
Optimization Letters, 2020 We consider the strongly convergent modified versions of the Krasnosel’skiĭ-Mann, the forward-backward and the Douglas-Rachford algorithms with Tikhonov regularization terms, introduced by Radu Boţ, Ernö Csetnek and Dennis Meier.
Bruno Miguel Antunes Dinis, P. Pinto
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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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