Results 21 to 30 of about 552,473 (239)
Solution of linear ill-posed problems using random dictionaries
, 2017 In the present paper we consider application of overcomplete dictionaries to solution of general ill-posed linear inverse problems. In the context of regression problems, there has been enormous amount of effort to recover an unknown function using such ...
Gupta, Pawan, Pensky, Marianna
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A modified quasi-boundary value method for an abstract ill-posed biparabolic problem
Open Mathematics, 2017 In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to ...
Besma Khelili +2 more
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Solving ill-posed inverse problems using iterative deep neural networks
, 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 regularization theory and recent advances in deep learning to perform learning
Adler, Jonas, Öktem, Ozan
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Mixed spatially varying $L^2$-BV regularization of inverse ill-posed problems [PDF]
, 2014 Several generalizations of the traditional Tikhonov-Phillips regularization method have been proposed during the last two decades. Many of these generalizations are based upon inducing stability throughout the use of different penalizers which allow the ...
Mazzieri, Gisela L. +2 more
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Projection regularization algorithm for solving linear algebraic system of large dimension
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 The iterative projection algorithm for solving ill-posed systems of linear algebraic equations is examined. This algorithm is based on transforming the regularized normal equations to the equivalent augmented regularized normal system of equations.
Alexander I Zhdanov, Audrey A Ivanov
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Dispersive Stabilization [PDF]
, 2009 Ill posed linear and nonlinear initial value problems may be stabilized, that it converted to to well posed initial value problems, by the addition of purely nonscalar linear dispersive terms. This is a stability analog of the Turing instability.
Metivier, Guy, Rauch, Jeffrey
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New Onset of Fibromyalgia After Exposure to a Combat Environment: A Longitudinal Cohort Study
Arthritis Care &Research, EarlyView.Objective Traumatic life events are hypothesized to be triggers for the onset of fibromyalgia. Posttraumatic stress disorder (PTSD) is a common comorbidity of fibromyalgia. However, limited prospective data are available on the development of fibromyalgia after exposure to high‐magnitude stress.
Jay B. Higgs +15 more
wiley +1 more source
THE DEVELOPMENT OF STUDENTS APPLIED MATHEMATICAL THINKING IN TEACHING INVERSE AND ILL-POSED PROBLEMS
RUDN Journal of Informatization in Education, 2017 In the article the author draws the reader’s attention to the fact that, while mastering the process of learning the theory and methodology of inverse and ill-posed problems, students not only form the fundamental knowledge in the field of inverse and ...
V S Kornilov
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Global Saturation of Regularization Methods for Inverse Ill-Posed Problems
, 2010 In this article the concept of saturation of an arbitrary regularization method is formalized based upon the original idea of saturation for spectral regularization methods introduced by A. Neubauer in 1994.
A. Neubauer +11 more
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Recovering edges in ill-posed inverse problems: optimality of curvelet frames [PDF]
, 2002 We consider a model problem of recovering a function $f(x_1,x_2)$ from noisy Radon data. The function $f$ to be recovered is assumed smooth apart from a discontinuity along a $C^2$ curve, that is, an edge.
Candès, Emmanuel J., Donoho, David L.
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