Results 21 to 30 of about 413,861 (307)
On the ill-posed problem for the Poisson equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 A boundary value problem in a two - dimensional rectangular region for the Poisson equation is studied in the paper. The original ill - posed boundary value problem is transformed to the optimal control problem.
M.T. Jenaliyev +2 more
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Ill-posed problems in early vision [PDF]
Proceedings of the IEEE, 1988 Mathematical results on ill-posed and ill-conditioned problems are reviewed and the formal aspects of regularization theory in the linear case are introduced. Specific topics in early vision and their regularization are then analyzed rigorously, characterizing existence, uniqueness, and stability of solutions.
Mario Bertero +2 more
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Algorithms, 2023 The boundary value problem, BVP, for the PDE heat equation is studied and explained in this article. The problem declaration comprises two intervals; the (0, T) is the first interval and labels the heating of the inside burning chamber, and the second (T,
Bashar Talib Al-Nuaimi +5 more
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X-rays Image reconstruction using Proximal Algorithm and adapted TV Regularization [PDF]
MATEC Web of Conferences, 2021 Computed tomography (CT) aims to reconstruct an internal distribution of an object based on projection measurements. In the case of a limited number of projections, the reconstruction problem becomes significantly ill-posed.
Allag Aicha +4 more
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On an ill-posed problem for a biharmonic equation
, 2017 A local boundary value problem for the biharmonic equation in a rectangular domain is considered. Boundary conditions are given on all boundary of the domain. We show that the considered problem is self-adjoint. Herewith the problem is ill-posed. We show
T. Kal’menov, U. Iskakova
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, 2016 Many studies have suggested that the corrosion detection of reinforced concrete (RC) based on electrical potential on concrete surface was an ill-posed problem, and thus it may present an inaccurate interpretation of corrosion.
S. Fonna +4 more
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Solving ill-posed inverse problems using iterative deep neural networks [PDF]
arXiv.org, 2017 We propose a partially learned approach for the solution of ill-posed inverse problems with not necessarily linear forward operators. The method builds on ideas from classical regularisation theory and recent advances in deep learning to perform learning
J. Adler, O. Öktem
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Frontiers in Physiology, 2019 The electrocardiographic imaging (ECGI) inverse problem highly relies on adding constraints, a process called regularization, as the problem is ill-posed.
Judit Chamorro-Servent +9 more
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Ill-Posed Inverse Problems in Economics [PDF]
Annual Review of Economics, 2013 A parameter of an econometric model is identified if there is a one-to-one or many-to-one mapping from the population distribution of the available data to the parameter. Often, this mapping is obtained by inverting a mapping from the parameter to the population distribution.
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Optimal Control of the Ill-Posed Cauchy Elliptic Problem
International Journal of Differential Equations, 2015 We give a characterization of the control for ill-posed problems of oscillating solutions. More precisely, we study the control of Cauchy elliptic problems via a regularization approach which generates incomplete information.
A. Berhail, A. Omrane
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