Tikhonov regularization of a second order dynamical system with Hessian driven damping. [PDF]
Math Program, 2021 We investigate the asymptotic properties of the trajectories generated by a second-order dynamical system with Hessian driven damping and a Tikhonov regularization term in connection with the minimization of a smooth convex function in Hilbert spaces. We
Boţ RI, Csetnek ER, László SC.
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Influence of the Tikhonov Regularization Parameter on the Accuracy of the Inverse Problem in Electrocardiography. [PDF]
Sensors (Basel), 2023 The electrocardiogram (ECG) is the standard method in clinical practice to non-invasively analyze the electrical activity of the heart, from electrodes placed on the body’s surface.
Wang T, Karel J, Bonizzi P, Peeters RLM.
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Computation of distribution of relaxation times by Tikhonov regularization for Li ion batteries: usage of L-curve method. [PDF]
Sci Rep, 2021 In this paper, the distribution of relaxation times (DRTs) functions are calculated numerically in Matlab for synthetic impedance data from single parallel RC\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Paul T, Chi PW, Wu PM, Wu MK.
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A Posteriori Fractional Tikhonov Regularization Method for the Problem of Analytic Continuation [PDF]
Mathematics, 2021 In this paper, the numerical analytic continuation problem is addressed and a fractional Tikhonov regularization method is proposed. The fractional Tikhonov regularization not only overcomes the difficulty of analyzing the ill-posedness of the ...
Xuemin Xue, Xiangtuan Xiong
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New Robust Regularized Shrinkage Regression for High-Dimensional Image Recovery and Alignment via Affine Transformation and Tikhonov Regularization [PDF]
International Journal of Mathematics and Mathematical Sciences, 2020 In this work, a new robust regularized shrinkage regression method is proposed to recover and align high-dimensional images via affine transformation and Tikhonov regularization. To be more resilient with occlusions and illuminations, outliers, and heavy
Habte Tadesse Likassa +2 more
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A New Hybrid Inversion Method for 2D Nuclear Magnetic Resonance Combining TSVD and Tikhonov Regularization [PDF]
Journal of Imaging, 2021 This paper is concerned with the reconstruction of relaxation time distributions in Nuclear Magnetic Resonance (NMR) relaxometry. This is a large-scale and ill-posed inverse problem with many potential applications in biology, medicine, chemistry, and ...
Germana Landi +2 more
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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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Earth and Space Science, 2020 Tikhonov regularization is critical for accurately specifying both the background (B) and observational (R) error covariances in four‐dimensional variational data assimilation (4DVar). The ratio of the background and observation error variances (referred
Xiangjun Tian, Rui Han, Hongqin Zhang
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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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Tikhonov regularization in Hilbert scales under conditional stability assumptions [PDF]
Inverse Problems, 2018 Conditional stability estimates allow us to characterize the degree of ill-posedness of many inverse problems, but without further assumptions they are not sufficient for the stable solution in the presence of data perturbations.
H Egger, B Hofmann
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