Výsledky vyhledávání - optimal perturbation regularization algorithm
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Data Reconstruction for a Disturbed Soil-Column Experiment Using an Optimal Perturbation Regularization Algorithm
ISSN: 1110-757X, 1687-0042Vydáno: Cairo, Egypt Hindawi Limiteds 01.01.2012Vydáno v Journal of Applied Mathematics (01.01.2012)“…This paper deals with data reconstruction problem for a real disturbed soil-column experiment using an optimal perturbation regularization algorithm…”
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Boundary Control and Observation to Inverse Coefficient Problem for Heat Equation With Unknown Source and Initial Value
ISSN: 0018-9286, 1558-2523Vydáno: New York IEEE 01.12.2021Vydáno v IEEE transactions on automatic control (01.12.2021)“… Next, a stable numerical algorithm for reconstruction of the diffusion coefficient is proposed by means of the matrix pencil method and optimal perturbation regularization technique. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed identification algorithm…”
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Numerical inversions of a source term in the FADE with a Dirichlet boundary condition using final observations
ISSN: 0898-1221, 1873-7668Vydáno: Elsevier Ltd 01.08.2011Vydáno v Computers & mathematics with applications (1987) (01.08.2011)“… by applying an optimal perturbation regularization algorithm. Numerical inversions with noisy data are carried out for the unknowns taking three functional forms…”
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Simultaneous inversion for a diffusion coefficient and a spatially dependent source term in the SFADE
ISSN: 1741-5977, 1741-5985Vydáno: Taylor & Francis 12.06.2016Vydáno v Inverse problems in science and engineering (12.06.2016)“…) space fractional advection-diffusion equation with final observations using the optimal perturbation regularization algorithm…”
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Numerical Inversion of a Time-Dependent Reaction Coefficient in a Soil-Column Infiltrating Experiment
ISSN: 1526-1492, 1526-1506Vydáno: Henderson Tech Science Press 2011Vydáno v Computer modeling in engineering & sciences (2011)“… Furthermore, an optimal perturbation regularization algorithm is applied to solve the inverse problem, and two typical numerical examples are presented to support the inversion algorithm…”
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Numerical inversion of diffusion coefficient by optimal perturbation regularization algorithm
ISBN: 9781424472352, 1424472350ISSN: 2161-9069Vydáno: IEEE 01.10.2010Vydáno v 2010 International Conference on Computer Application and System Modeling (ICCASM 2010) (01.10.2010)“…This paper deals with numerical inversions for a diffusion coefficient in 1-D transport model by an optimal perturbation regularization algorithm…”
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Numerical Inversion of Multi-Parameters in Multi-Components Reactive Solutes Transportation in an Undisturbed Soil-Column Experiment
ISSN: 1526-1492, 1526-1506Vydáno: Henderson Tech Science Press 2009Vydáno v Computer modeling in engineering & sciences (2009)“… Since the model involving six reaction coefficients which can not be obtained directly, an optimal perturbation regularization algorithm of determining these parameters is performed, and numerical…”
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An Optimal Perturbation Regularization Algorithm for Function Reconstruction and Its Applications
ISBN: 3110259044, 9783110259049Vydáno: Berlin, Boston DE GRUYTER 31.12.2012Vydáno v Computational Methods for Applied Inverse Problems (31.12.2012)Získat plný text
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An Inverse Source Problem for A One-dimensional Time-Space Fractional Diffusion Equation
ISSN: 1742-6588, 1742-6596Vydáno: Bristol IOP Publishing 01.03.2023Vydáno v Journal of physics. Conference series (01.03.2023)“… for the homogeneous Dirichlet boundary condition is considered. For the conclusive solution of the given inverse source problem, a numerical method is proposed based on the optimal perturbation algorithm with optimized Tikhonov regularization…”
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Numerical Solution of Backward Problem of a Multi-term Time-space Fractional Diffusion Equation
ISSN: 1742-6588, 1742-6596Vydáno: Bristol IOP Publishing 01.03.2023Vydáno v Journal of physics. Conference series (01.03.2023)“…), which uses the observational final data. This paper proposes a numerical solution based on a Tikhonov regularization technique combined with an optimal perturbation algorithm (OPA…”
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Identification of a Time-Dependent Source Term in Multi-Term Time–Space Fractional Diffusion Equations
ISSN: 2227-7390, 2227-7390Vydáno: Basel MDPI AG 01.07.2025Vydáno v Mathematics (Basel) (01.07.2025)“… The source identification problem is reformulated as a variational problem using the Tikhonov regularization method, and an approximate solution to the inverse problem is obtained with the aid…”
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Inertial Forward–Backward Algorithms with Perturbations: Application to Tikhonov Regularization
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.10.2018Vydáno v Journal of optimization theory and applications (01.10.2018)“…–backward algorithms in the presence of perturbations, approximations, errors. These splitting algorithms aim to solve, by rapid methods, structured convex minimization problems…”
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A limiting analysis on regularization of singular SDP and its implication to infeasible interior-point algorithms
ISSN: 0025-5610, 1436-4646Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023Vydáno v Mathematical programming (01.06.2023)“… In this paper, we conduct an asymptotic analysis of the optimal value as the perturbation for regularization is driven to zero…”
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Heuristic Choice of Regularization Parameter for the Optimal Stabilization of Finite-Element Approximations
ISSN: 1072-3374, 1573-8795Vydáno: Cham Springer International Publishing 01.07.2025Vydáno v Journal of mathematical sciences (New York, N.Y.) (01.07.2025)“…We consider the problem of the optimal choice of regularization parameter in the stabilization scheme of the finite-element method for a singularly perturbed diffusion–advection–reaction problem…”
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Numerical Inversion for Determining Time-Dependent Reaction Coefficient in 1-D Solute Transportation by Homotopy Regularization Algorithm
ISBN: 9781457715402, 1457715406Vydáno: IEEE 01.10.2011Vydáno v 2011 International Conference on Computational and Information Sciences (01.10.2011)“… which show that the homotopy regularization algorithm is more efficient than the optimal perturbation algorithm at least for the inverse problem here…”
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Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution
ISSN: 1615-3375, 1615-3383Vydáno: New York Springer US 01.06.2020Vydáno v Foundations of computational mathematics (01.06.2020)“… Due to the highly nonconvex nature of the empirical loss, state-of-the-art procedures often require proper regularization (e.g…”
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Krasnoselskii–Mann Iterations: Inertia, Perturbations and Approximation
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.02.2025Vydáno v Journal of optimization theory and applications (01.02.2025)“… particular cases separately. We also show that these methods are robust with respect to different kinds of perturbations…”
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On Regularization of Classical Optimality Conditionsin Convex Optimization Problems for Volterra-Type Systems with OperatorConstraints
ISSN: 0012-2661, 1608-3083Vydáno: New York Springer Nature B.V 01.02.2024Vydáno v Differential equations (01.02.2024)“…We consider the regularization of classical optimality conditions—the Lagrange principle and the Pontryagin maximum principle…”
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An Enhanced Flower Pollination Algorithm with Gaussian Perturbation for Node Location of a WSN
ISSN: 1424-8220, 1424-8220Vydáno: Switzerland MDPI AG 17.07.2023Vydáno v Sensors (Basel, Switzerland) (17.07.2023)“… Therefore, a localization algorithm based on an enhanced flower pollination algorithm (FPA) with Gaussian perturbation…”
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Perturbation Method and Regularization of the Lagrange Principle in Nonlinear Constrained Optimization Problems
ISSN: 0965-5425, 1555-6662Vydáno: Moscow Pleiades Publishing 01.12.2024Vydáno v Computational mathematics and mathematical physics (01.12.2024)“… The equality constraint involves an additive parameter, so a “nonlinear version” of the perturbation method can be used to study the problem…”
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