ill-posed inverse problem
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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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
Learning from Examples as an Inverse Problem
... for inverse problems, em- phasizing the strong algorithmic and conceptual analogy of certain learning algorithms with regu- larization ...with inverse problem was considered only for the discrete ...
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3 D EIT Image Reconstruction Using a Block Based Compressed Sensing Approach
... In this paper, we presented a time and memory efficient method for solving a large scale 3D EIT image recon- struction problem and the ill-posed linear inverse problem. For a ...
7
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 ...
9
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- ...
7
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
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 ...
25
Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain
... In this paper we intend to retrieve the principal coefficient a = a(x) of system (.) from the measurement of y(L, t) on (, T) and the measurement of y(x, T/) on (, L). Stability estimates play a special role in the ...
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Identification of source term for the ill posed Rayleigh–Stokes problem by Tikhonov regularization method
... an inverse source problem for the Rayleigh–Stokes problem for a generalized second-grade fluid with a fractional derivative ...The problem is severely ill-posed in the sense of ...
20
Ill-Posed and Linear Inverse Problems
... with ill- posed problems is that they are practically underdetermined due to the cluster of small singular values of ...the problem and to single out a useful and stable ...
8
A Spectral Regularization Method for a Cauchy Problem of the Modified Helmholtz Equation
... Cauchy problem for Helmholtz equation arises from inverse scattering ...this problem are ...Cauchy problem for elliptic equations is well known to be severely ill-posed 7; that ...
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Stability Analysis in Computational Problems Regarding Power Networks
... is ill-conditioned if the angle formed by the vector representing the initial solution z and the perturbed solution z‘ will be higher and closer to the maximum value given by the W-K ...(the ill-conditioned ...
5
Optimization methods for the real-time inverse problem posed by modelling of liquefied natural gas storage
... the inverse method, the lumped parameter model is iteratively solved by varying heat and mass transfer coefficients until the estimated error reaches the prescribed ...
30
The Problem of Integral Geometry of Volterra Type with a Weight Function of a Special Type
... Equation (19) has a local character in the variable y . In view the conditions suppu ⊂ Ω it is clear, that the representation (19) for the solution of the equation (6) holds and by l < ∞ .Then from (4), (12) and (19) ...
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A Novel Cross Layer Based Energy Conservative and Spectrum Allocation Algorithm for WANETs
... Clustering is an important task with applications in many fields. Heuristic algorithms are used for this task in an attempt to provide acceptable results, both in terms of solution quality and running time, because all ...
12
Atmospheric inverse modeling via sparse reconstruction
... Recently, Tikhonov regularization with sparsity constraint has become a popular alternative to these classical inverse methods within a number of engineering fields. Several re- cent studies apply the approach to ...
19
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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Numerical methods for ill-posed, linear problems
... R., ''Some Numerical Results for the Solution of the Heat Equation Backwards in Time," Numerical Solutions of Nonlinear Differential Equations.. and Hilbert D., Methods of Mathematical P[r] ...
130
Regularization of Ill-Posed Point Neuron Models
... one convergent subsequence. The limit, v, of this subsequence will satisfy the inte- gral/Volterra form (27) of the limit problem, provided that the set Z(v), see (15), has zero Lebesgue measure. Unfortunately, it ...
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