Tikhonov Regularization
Projected Tikhonov regularization method for Fredholm integral equations of the first kind
... projected Tikhonov regularization method developed and used in this investiga- tion to solve the Fredholm integral equations of the first kind is very simple and effective, owing to the fact that the ...
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A Lorentzian Stochastic Estimation for a Robust Iterative Multiframe Super-Resolution Reconstruction with Lorentzian-Tikhonov Regularization
... tic regularization technique of Bayesian MAP estimation by minimizing a cost ...Moreover, Tikhonov regularization and Lorentzian-Tikhonov regularization are used to remove artifacts ...
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Insights into Tikhonov regularization: application to trace gas column retrieval and the efficient calculation of total column averaging kernels
... a Tikhonov regularization approach or optimal estimation to stabilize the ...the regularization, the retrieved profile es- timates a smoothed version of the true profile, where the smoothing is ...
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Determination of an Unknown Source in the Heat Equation by the Method of Tikhonov Regularization in Hilbert Scales
... The Tikhonov regularization method in Hilbert scales is presented to deal with ill-posedness of the problem and error estimates are obtained with a posteriori choice rule to find the regularization ...
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Adapting the Normalized Cumulative Periodogram Parameter-Choice Method to the Tikhonov Regularization of 2-D/TM Electromagnetic Inverse Scattering Using Born Iterative Method
... The new procedure is applied to two different sets of problems in this paper: one based on synthetic data and the other on experimental data. For the first set, we assume that data collection is done by a set of receivers ...
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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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Identification of source term for the ill posed Rayleigh–Stokes problem by Tikhonov regularization method
... In this work, we give another way for approaching the ill-posedness of an inverse source problem. We deliver a Tikhonov regularization method to consider the above Gaussian random model. The right-hand side ...
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Infinite-σ Limits For Tikhonov Regularization
... Tikhonov regularization can be used for both classification and regression tasks, but we refer to the function f as the regularized solution in all ...the regularization term, and the right-hand ...
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Tikhonov Regularization as a Complexity Measure in Multiobjective Genetic Programming
... Classically, regularization [24] seeks to minimize the weighted sum of a risk functional and some measure of discriminant complexity although how to decide on the weighting (the so-called regularization ...
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A hybrid splitting method for smoothing Tikhonov regularization problem
... The proposed method is essentially to a hybrid splitting method since it combines the parallel splitting method and the alternating direction method, which are two power tools for the co[r] ...
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Optimal Tikhonov approximation for a sideways parabolic equation
... We consider an inverse heat conduction problem with convection term which appears in some applied subjects. This problem is ill posed in the sense that the solution (if it exists) does not depend continuously on the ...
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A modified regularization method for an inverse heat conduction problem with only boundary value
... quasi-reversibility regularization method for solving an IHCP without initial ...simplified Tikhonov regularization method for determining the heat ...modified Tikhonov regularization ...
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An optimal order yielding discrepancy principle for simplified regularization of ill posed problems in Hilbert scales
... plified regularization introduced by Lavrentiev is better suited than Tikhonov regularization in terms of speed of convergence and condition number in the case of finite-dimensional approximations ...
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Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem
... the Tikhonov regularization method must be used to control this ...the Tikhonov regularization method to solve the matrix system of equations ...The Tikhonov regularized solutions to ...
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Algorithm and software to automatically identify latency and amplitude features of local field potentials recorded in electrophysiological investigation
... Background: Local field potentials (LFPs) evoked by sensory stimulation are particularly useful in electrophysiological research. For instance, spike timing and current transmembrane current flow estimated from LFPs ...
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Numerical Methods for Fredholm Integral Equations of the First Kind
... the Tikhonov regularization and the Multilevel Galerkin method, they truncated the dense matrix to be a sparse matrix so that a fast algorithm can be generated to solve Fredholm equations of the first ...
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Performance Analysis of Grey Level Fitting Mechanism based Gompertz Function for Image Reconstruction Algorithms in Electrical Capacitance Tomography Measurement System
... standard Tikhonov regularization method is one of the best method to solve the ill-posed problem, but in ECT it tends to generate a smooth approximation solution, in that case it can lead the lost detailed ...
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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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Regularization method for the radially symmetric inverse heat conduction problem
... modified Tikhonov regularization method was ap- plied for an axisymmetric backward heat equation in ...a Tikhonov regularization) to the radially symmetric inverse heat conduction problem ...
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HAAR BASIS METHOD TO SOLVE SOME INVERSE PROBLEMS FOR TWO-DIMENSIONAL PARABOLIC AND HYPERBOLIC EQUATIONS
... the Tikhonov regularization method must be used to control this measurement ...The Tikhonov regularized solution [13, 19, 30, 31] to the system of linear algebraic equation ...
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