regularization of an integral
Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations
... Volterra–Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of ...the regularization method to convert this mixed system (ill-posed problem) to ...
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Projected Tikhonov regularization method for Fredholm integral equations of the first kind
... 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 dimension of the ...
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A Survey of Regularization Methods of Solution of Volterra Integral Equations of the First Kind
... Volterra integral equations of the first kind are replaced with equations of the second kind (precisely, integro-differential equation of the second kind) of Fredholm ...Tikhonov’s regularization method ...
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A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators
... Fredholm integral equations of the second kind involving local fractional derivative operators are investigated by using the method of regularization with Adomian decomposition ...fractional integral ...
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Regularization and Adaptation for the Approximation of Nonsmooth Solutions for Fredgolm First Kind Integral Equations
... The field of inverse problems is of large interest due to the importance of applications to science and industry. Since most inverse problems cannot be solved analyti- cally, computational methods play a fundamental role. ...
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A Regularization of Fredholm type singular integral equations
... kind integral equations of Fredholm type with singular ...such integral equations into a second kind Fredholm’s integral equation with at most weakly singular ...
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Numerical Methods for Fredholm Integral Equations of the First Kind
... Fredholm integral equations of the first kind have significant meaning for the practical problems in the fields of engineering, physics, image processing, ...Fredholm integral equations of the first kind, ...
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New Regularization Algorithms for Solving the Deconvolution Problem in Well Test Data Interpretation
... g t Q g g t c g t g t (3) Let us briefly review a few methods presented in the petroleum literature for solving a pressure-rate deconvo- lution problem in linear setting (1). Linear programming methods ...
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Improved hydrogeophysical characterization using joint inversion of cross hole electrical resistance and ground penetrating radar traveltime data
... stochastic regularization operators based on the hole effect model add layers in the resulting inversion models at depths not sampled by the cross-hole geophysical data and it is therefore difficult to determine ...
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Two-parameter regularization method for an axisymmetric inverse heat problem
... of integral equation to reg- ularize backward heat conduction problem and get some error ...Tikhonov regularization method to give an approximation for this problem in Banach ...
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Ill-Posed and Linear Inverse Problems
... 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 not restricted ...
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Convergence rates for regularized solutions of integral equations from discrete noisy data
... Method of regularization, approximate solution of integral equations, rates of convergence, nonparametric regression, Abel's equation, particle size distribution.... where the £'s are ra[r] ...
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An Image Completion Method Using Decomposition
... the regularization PDE based on a trace operator, was inpainted by a tensor-driven PDE algorithm that takes curvatures of line integral curves into account, and the texture component, obtained by ...
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Nonparametric Sparsity and Regularization
... methods we show that the regularized estimator can be provably computed through an iterative procedure. The consistency property of the proposed estimator are studied. Exploiting the non- parametric nature of the method ...
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Expanding the applicability of Lavrentiev regularization methods for ill-posed problems
... 18. Argyros, IK: A semilocal convergence for directional Newton methods. Math. Comput. 80, 327-343 (2011) 19. Argyros, IK, Hilout, S: Weaker conditions for the convergence of Newton’s method. J. Complex. 28, 364-387 ...
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Locally Regularized Smoothing B-Snake
... This section gives results obtained with the proposed LRSB- snake algorithm. First, the global regularization mode is il- lustrated using real MRI images with opened and closed con- tours. Then, the LRSB-snake is ...
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Regularization of ill posed mixed variational inequalities with non monotone perturbations
... Remark 2.3 The generalized discrepancy principle for regularization parameter choice is presented in [15] for the ill-posed operator equation (4) when A is a linear and bounded operator in Hilbert space. It is ...
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Kernels: Regularization and Optimization
... Since the kernel has to effectively capture the domain knowledge in an application, we study the problem of learning the kernel itself from training data. The proposed solution is a kernel on the space of kernels itself, ...
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Performance Analysis of Grey Level Fitting Mechanism based Gompertz Function for Image Reconstruction Algorithms in Electrical Capacitance Tomography Measurement System
... This paper analyses the performance of grey level fitting mechanism based on Gompertz function used in Electrical Capacitance Tomography measurement system. In order to evaluate its performance, the data fitting ...
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Regularization Techniques for Learning with Matrices
... examines regularization based on group norms and spectral norms of ...such regularization methods and provide general hints for choosing a regularization function based on the underlying statistical ...
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