Results 11 to 20 of about 208,745 (278)
Optimal Tikhonov regularization for DEER spectroscopy. [PDF]
J Magn Reson, 2018 Tikhonov regularization is the most commonly used method for extracting distance distributions from experimental double electron-electron resonance (DEER) spectroscopy data. This method requires the selection of a regularization parameter, α, and a regularization operator, L.
Edwards TH, Stoll S.
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Tikhonov Regularization within Ensemble Kalman Inversion [PDF]
SIAM Journal on Numerical Analysis, 2019 Ensemble Kalman inversion is a parallelizable methodology for solving inverse or parameter estimation problems. Although it is based on ideas from Kalman filtering, it may be viewed as a derivative-free optimization method.
Neil K. Chada, A. Stuart, Xin T. Tong
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Extrapolation of Tikhonov regularization method
Mathematical Modelling and Analysis, 2010 We consider regularization of linear ill‐posed problem Au = f with noisy data fδ, ¦fδ - f¦≤ δ . The approximate solution is computed as the extrapolated Tikhonov approximation, which is a linear combination of n ≥ 2 Tikhonov approximations with different
Uno Hämarik, Reimo Palm, Toomas Raus
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Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces [PDF]
SIAM Journal on Numerical Analysis, 2020 This paper deals with Tikhonov regularization for linear and nonlinear ill-posed operator equations with wavelet Besov norm penalties. We show order optimal rates of convergence for finitely smoothing operators and for the backwards heat equation for a ...
Frederic Weidling +2 more
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Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales [PDF]
, 2017 We study Tikhonov regularization for ill-posed non-linear operator equations in Hilbert scales. Our focus is on the interplay between the smoothness-promoting properties of the penalty and the smoothness inherent in the solution.
Bernd Hofmann, Peter Mathé
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Adaptive penalties for generalized Tikhonov regularization in statistical regression models with application to spectroscopy data. [PDF]
J Chemom, 2017 Randolph TW +3 more
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The Application of Piecewise Regularization Reconstruction to the Calibration of Strain Beams [PDF]
SensorsStandard beams are mainly used for the calibration of strain sensors using their load reconstruction models. However, as an ill-posed inverse problem, the solution to these models often fails to converge, especially when dealing with dynamic loads of ...
Jingjing Liu +7 more
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A new interpretation of (Tikhonov) regularization [PDF]
Inverse Problems, 2021 Tikhonov regularization with square-norm penalty for linear forward operators has been studied extensively in the literature. However, the results on convergence theory are based on technical proofs and sometimes difficult to interpret.
D. Gerth
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AIMS Mathematics, 2021 We study a unified form of Tikhonov regularization for ill-posed problems with a general data similarity term. We discuss sufficient conditions on this generalized Tikhonov functional that guarantee existence and stability of solutions.
El Mostafa Kalmoun, Fatimah Allami
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Algorithms, 2023 This paper aims to determine whether regularization improves image reconstruction in electrical impedance tomography (EIT) using a radial basis network. The primary purpose is to investigate the effect of regularization to estimate the network parameters
Chowdhury Abrar Faiyaz +4 more
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