Ozone profile smoothness as a priori information in the inversion of limb measurements [PDF]
Annales Geophysicae, 2004 In this work we discuss inclusion of a priori information about the smoothness of atmospheric profiles in inversion algorithms. The smoothness requirement can be formulated in the form of Tikhonov-type regularization, where the smoothness of ...
V. F. Sofieva +4 more
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Reconstruction of Mercury's internal magnetic field beyond the octupole [PDF]
Annales Geophysicae, 2022 The reconstruction of Mercury's internal magnetic field enables us to take a look into the inner heart of Mercury. In view of the BepiColombo mission, Mercury's magnetosphere is simulated using a hybrid plasma code, and the multipoles of the internal ...
S. Toepfer +10 more
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Spatially Adaptive Tensor Total Variation-Tikhonov Model for Depth Image Super Resolution
IEEE Access, 2017 Depth images play an important role in 3-D applications. However, due to the limitation of depth acquisition equipment, the acquired depth images are usually in limited resolution. In this paper, a spatially adaptive tensor total variation-Tikhonov model
Gang Zhong, Sen Xiang, Peng Zhou, Li Yu
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An Exponential Filtering Based Inversion Method for Microwave Imaging [PDF]
Radioengineering, 2021 In this paper, a new methodology based on the exponential filtering of singular values is adopted to solve the linear ill-posed problem of microwave imaging.
A. Magdum +2 more
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A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems [PDF]
, 2018 Laurent Bourgeois, Arnaud Recoquillay
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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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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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, 2020 In this paper, we deal with the inverse problem of identifying the unknown source of time-fractional diffusion equation on a columnar symmetric domain. This problem is ill-posed.
Fan Yang +3 more
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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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