first-order Tikhonov regularization
Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem
... R. First, we obtained a time discrete scheme by approximating the first-order time derivative via forward finite difference formula, then we used cubic B-spline collocation method to approximate the spatial ...
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Regularization and Adaptation for the Approximation of Nonsmooth Solutions for Fredgolm First Kind Integral Equations
... the Tikhonov total variation regularization technique in two-dimensional ...In order to demonstrate the qual- itative difference between numerical results obtained for setting β ≡ 0 and for setting ...
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Insights into Tikhonov regularization: application to trace gas column retrieval and the efficient calculation of total column averaging kernels
... in order to illustrate the general fea- tures of this kind of ...measurement. First, we will consider the retrieval of the vertical column density of carbon monoxide (CO) from simulated measure- ments in ...
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Projected Tikhonov regularization method for Fredholm integral equations of the first kind
... In this paper, we consider a variant of projected Tikhonov regularization method for solving Fredholm integral equations of the first kind. We give a theoretical analysis of this method in the Hilbert space ...
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Identification of source term for the ill posed Rayleigh–Stokes problem by Tikhonov regularization method
... To the best of our knowledge, the research results on inverse problems of the Rayleigh– Stokes problem are still limited. The research works do not deal much with regularization of ill-posed problems. Especially, ...
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The Tikhonov Regularization Method in Hilbert Scales for Determining the Unknown Source for the Modified Helmholtz Equation
... special regularization methods are ...the Tikhonov regularization method in Hilbert scales to reconstruct a new function h δ from the perturbed data g δ and Th δ will be used as an approximation of ...
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Optimal Tikhonov approximation for a sideways parabolic equation
... new regularization method for problem ...generalized Tikhonov regularization method, such that the error estimate of this method possesses the best possible accuracy, that is, the error estimate of ...
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1. Fock spaces for the $q$-Bessel-Struve kernel
... application of the theory of reproducing kernels to the Tikhonov regularization, which gives the approximate solutions for bounded linear operator equation on the Fock spaces F q,αc. Esp[r] ...
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HAAR BASIS METHOD TO SOLVE SOME INVERSE PROBLEMS FOR TWO-DIMENSIONAL PARABOLIC AND HYPERBOLIC EQUATIONS
... Cheng-Hung Huanga, Chun-Ying Yeha, and Helcio R.B. Orlande presented an itera- tive regularization method based on an inverse algorithm. The algorithm is applied to simultaneously determine the unknown ...
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Determination of an Unknown Source in the Heat Equation by the Method of Tikhonov Regularization in Hilbert Scales
... It is apparent that the exact data ˆ g must decay faster than the rate ξ − 2 . However, in general, the measured data g δ does not possess such a decay property. In the following, we apply the Tikhonov ...
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Regularization method for the radially symmetric inverse heat conduction problem
... the Tikhonov regularization method to compute the boundary temperature u(a, t) = f (t) from the Cauchy data u(b, t) = g(t), u r (b, t) = and give some numerical ...
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Pro active acoustic noise reduction for magnetic resonance imaging scanners
... For the minimum noise coil an extreme example is presented to illustrate the versatility of this technique. As noise is measured on a log scale (see Bies and Hansen [6]) a reduction of approximately 50 dB in sound ...
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High order Tensor Regularization with Application to Attribute Ranking
... A notable exception to this tendency is PubFig, where DR is clear winner. This indicates that semi-supervised learning might not be always useful. One possible explanation is that PubFig has insufficient data points to ...
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Numerical Methods for Fredholm Integral Equations of the First Kind
... the Tikhonov-regularity of the method for the case of inexact data was established in both ...the first kind in Hilbert space setting using Tikhonov ...the first kind with a degenerate kernel ...
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Multiscale higher-order TV operators for L1 regularization
... of order 3, and in (g) is our MHOTV denoising of order 3 with 3 ...over regularization occurs, since projection images most certainly do not abide by the general piecewise constant assumption, making ...
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Mapping nearly continuous function by Newton-like operators in Baire's space
... the Tikhonov regularization parameter introduced on the discontinuous system in order to enforce the homeomorphic image to be continuous under the induced closed graph ...
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A Lorentzian Stochastic Estimation for a Robust Iterative Multiframe Super-Resolution Reconstruction with Lorentzian-Tikhonov Regularization
... as regularization. Regularization is fre- quently essential to produce a usable solution to an other- wise intractable ill-posed or ill-conditioned inverse ...considering regularization in ...
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Distributional fixed-point equations for island nucleation in one dimension : the inverse problem
... 3 case the situation is even worse (see Fig. 7), so here the Tikhonov solution is more of a guideline for the behavior of the true f (a ). On the other hand, the Fourier construction was successful in all the ...
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Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
... the Tikhonov regularization method to solve it, but they consider an inverse source problem for the time-fractional diffusion equation in a regular ...optimal order, which will lead to a saturating ...
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Algorithm and software to automatically identify latency and amplitude features of local field potentials recorded in electrophysiological investigation
... the first maximum was individualized as the ...the first panel reports the raw LFP ...the first and second time-derivatives employed in the computation of the LFP ...
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