inverse ill-posed problem
Numerical solution of a time-fractional inverse source problem
... an inverse problem of determining an un- known source term in a time-fractional diffusion equation is inves- ...This inverse problem is severely ...
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A New Regularized Solution to Ill Posed Problem in Coordinate Transformation
... solve ill-posed problems, which have been widely ap- plied to solve inverse ill-posed geodetic problems and sig- nal ...to ill-posed models [6,7]. Golub [8] pro- ...
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A Spectral Regularization Method for a Cauchy Problem of the Modified Helmholtz Equation
... the ill-posedness is caused by high ...well-posed problem. This method has been used for solving inverse heat conduction problem 12, and sideways heat equation 13, sideways parabolic ...
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Retrieving hidden atrial repolarization waves from standard surface ECGs
... In clinical situations, Ta waves are not only hidden, but P waves are also tangled with the adjacent QRS complex. In [7] and [8], statistical and signal processing methods were, respectively used to single out P waves ...
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3 D EIT Image Reconstruction Using a Block Based Compressed Sensing Approach
... Electrical impedance tomography (EIT) is a fast and cost-effective technique that provides a to- mographic conductivity image of a subject from boundary current-voltage data. This paper pro- poses a time and memory ...
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A unified approach to solve ill-posed inverse problems in econometrics
... One goal of this paper is to analyse the convergence of ˆ ϕ to ϕ in various norms, that is we are not only interested to study the mean square convergence of ˆ ϕ, but also, for instance, the mean square convergence of ...
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Learning from Examples as an Inverse Problem
... the problem is that the examples are drawn according to a fixed but unknown prob- abilistic input-output relation and the desired property of the selected function is to be descriptive also of new data, ...for ...
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Ill-Posed Problems
... to ill-posed problems in the field of mathematical physics and partial differential and integral equations, there are many simpler yet not less important ill-posed problems among algebraic ...
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On Rate Optimality for Ill-posed Inverse Problems in Econometrics
... mildly ill-posed case (when the singular values associated with the conditional expectation operator decay to zero at a polynomial rate), Hall and Horowitz (2005) establish the minimax risk lower bound in ...
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Identification of source term for the ill posed Rayleigh–Stokes problem by Tikhonov regularization method
... on inverse problems of the Rayleigh– Stokes problem are still ...of ill-posed ...considered. Problem (1.1) is the forward problem when the source function F = F(x, t) is ...
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Minimax Goodness-of-Fit Testing in Ill-Posed Inverse Problems with Partially Unknown Operators
... contains ill-posed inverse problems as special ...severely ill-posed inverse problems with ellipsoids of ordinary-smooth and super-smooth sequences are examined in detail and ...
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A Novel Iterative Algorithm for Solving Nonlinear Inverse Scattering Problems
... nonlinear inverse scattering ...the inverse scattering problem in terms of reconstructing the nonlocal unknown scattering potential V from scattered field measurements made outside a ...nonlinear ...
176
Ill-Posed and Linear Inverse Problems
... In this paper we considered regularization for singular differential equations equations. Regularization could be applied to linear systems of equations that the coefficients matrix is ill-posed, so it is ...
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Brain Derived Neurotrophic Factor Modulates Behavioral and Brain Responses to Social Stress
... an inverse problem is the process of calculating the causal factors from a set of ...field. Inverse problems have wide applications in optics, radar de- sign, acoustics, communication theory, signal ...
131
The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity
... The inverse problem of coupled static thermo-elasticity in which one has to determine the thermo-elastic stress state in a body from displacements and temperature given on a subset of the boundary is ...
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The Problem of Integral Geometry of Volterra Type with a Weight Function of a Special Type
... new problem of reconstruction of a function in a strip from their given integrals with known weight function along polygonal ...the problem in Sobolev’s spaces and thus show their weak ...
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Ill-Posed Point Neuron Models
... be ill posed or “almost ill posed”? If so, then models employing a Heaviside firing rate function cannot be robustly solved with finite precision arithmetic and regularized approximations are ...
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The Significance of Solutions Obtained from Ill Posed Systems of Linear Equations Constituted by Synchrotron Radiation Based Anomalous Small Angle X Ray Scattering
... squared residuals ∆ = r 0.1 . The residual of the second vector is drastically smaller when compared to the residual of the first vector but the first vector is clearly closer to the true solution. The example ...
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Spectral calibration of exponential Lévy Models [1]
... estimation problem is in general severely ill-posed, that is, the estimation error for any part of the L´evy triplet as a function of the accuracy of the observations will only converge with a ...
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Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient
... Inspired by [13], in the present paper, we firstly adopt a similar method in [13] to obtain an iterative scheme, then truncate it to get our iterative method (see Section 2); here the data u ( ) ⋅ , t for 0 ≤ < t T ...
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