Results 31 to 40 of about 24,593 (203)
On fractional Tikhonov regularization [PDF]
Journal of Inverse and Ill-posed Problems, 2015 Abstract It is well known that Tikhonov regularization in standard form may determine approximate solutions that are too smooth, i.e., the approximate solution may lack many details that the desired exact solution might possess. Two different approaches, both referred to as fractional Tikhonov methods have been introduced to remedy this ...
Gerth, Daniel +3 more
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Projected Newton Method for noise constrained Tikhonov regularization
, 2020 Tikhonov regularization is a popular approach to obtain a meaningful solution for ill-conditioned linear least squares problems. A relatively simple way of choosing a good regularization parameter is given by Morozov's discrepancy principle.
Cornelis, Jeffrey +2 more
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Discrepancy Sets for Combined Least Squares Projection and Tikhonov Regularization
Mathematical Modelling and Analysis, 2017 To solve a linear ill-posed problem, a combination of the finite dimensional least squares projection method and the Tikhonov regularization is considered. The dimension of the projection is treated as the second parameter of regularization.
Teresa Reginska
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Beyond convergence rates: Exact recovery with Tikhonov regularization with sparsity constraints [PDF]
, 2011 The Tikhonov regularization of linear ill-posed problems with an $\ell^1$ penalty is considered. We recall results for linear convergence rates and results on exact recovery of the support.
Candés E J +14 more
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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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Node-Adaptive Regularization for Graph Signal Reconstruction
IEEE Open Journal of Signal Processing, 2021 A critical task in graph signal processing is to estimate the true signal from noisy observations over a subset of nodes, also known as the reconstruction problem.
Maosheng Yang +3 more
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A new approach to nonlinear constrained Tikhonov regularization [PDF]
, 2011 We present a novel approach to nonlinear constrained Tikhonov regularization from the viewpoint of optimization theory. A second-order sufficient optimality condition is suggested as a nonlinearity condition to handle the nonlinearity of the forward ...
Ito, Kazufumi, Jin, Bangti
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DISCRETIZATION ERROR ANALYSIS FOR TIKHONOV REGULARIZATION [PDF]
Analysis and Applications, 2006 We study the discretization of inverse problems defined by a Carleman operator. In particular, we develop a discretization strategy for this class of inverse problems and we give a convergence analysis. Learning from examples, as well as the discretization of integral equations, can be analyzed in our setting.
DE VITO, ERNESTO +2 more
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Nuclear Fusion, 2023 Precise control of plasma shape parameters, such as elongation and triangularity is duly needed to achieve high-performance tokamak plasmas, for which we propose adaptive search schemes of (1) optimum regularization parameter for the Tikhonov ...
S. Inoue +4 more
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Signal Restoration Combining Modified Tikhonov Regularization and Preconditioning Technology
IEEE Access, 2017 The purpose of signal restoration is to acquire a clean signal from the degraded signal which contains blur and noise. In this paper, a modified Tikhonov regularization method based on the standard Tikhonov regularization matrix is proposed, and the ...
Hong-Xia Dou +3 more
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