Výsledky vyhledávání - optimal perturbation regularization algorithm

  1. 1

    Data Reconstruction for a Disturbed Soil-Column Experiment Using an Optimal Perturbation Regularization Algorithm Autor Li, Gongsheng, Wang, Yongzai, Yao, De

    ISSN: 1110-757X, 1687-0042
    Vydáno: Cairo, Egypt Hindawi Limiteds 01.01.2012
    Vydáno 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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  2. 2

    Boundary Control and Observation to Inverse Coefficient Problem for Heat Equation With Unknown Source and Initial Value Autor Zhao, Zhi-Xue, Guo, Bao-Zhu, Han, Zhong-Jie

    ISSN: 0018-9286, 1558-2523
    Vydáno: New York IEEE 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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  3. 3

    Numerical inversions of a source term in the FADE with a Dirichlet boundary condition using final observations Autor Chi, Guangsheng, Li, Gongsheng, Jia, Xianzheng

    ISSN: 0898-1221, 1873-7668
    Vydáno: Elsevier Ltd 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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  4. 4

    Simultaneous inversion for a diffusion coefficient and a spatially dependent source term in the SFADE Autor Jia, Xianzheng, Li, Gongsheng, Sun, Chunlong, Du, Dianhu

    ISSN: 1741-5977, 1741-5985
    Vydáno: Taylor & Francis 12.06.2016
    “…) space fractional advection-diffusion equation with final observations using the optimal perturbation regularization algorithm…”
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  5. 5

    Numerical Inversion of a Time-Dependent Reaction Coefficient in a Soil-Column Infiltrating Experiment Autor Li, Gongsheng, Yao, De, Jiang, Hengyi, Jia, Xianzheng

    ISSN: 1526-1492, 1526-1506
    Vydáno: Henderson Tech Science Press 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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  6. 6

    Numerical inversion of diffusion coefficient by optimal perturbation regularization algorithm Autor Gongsheng Li, Wenjun Gao

    ISBN: 9781424472352, 1424472350
    ISSN: 2161-9069
    Vydáno: IEEE 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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  7. 7

    Numerical Inversion of Multi-Parameters in Multi-Components Reactive Solutes Transportation in an Undisturbed Soil-Column Experiment Autor Li, G S, Yao, D, Wang, Y Z, Jiang, H Y

    ISSN: 1526-1492, 1526-1506
    Vydáno: Henderson Tech Science Press 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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  9. 9

    An Inverse Source Problem for A One-dimensional Time-Space Fractional Diffusion Equation Autor Lin, Rixin, Li, Yushan, Nong, Linshuzhen

    ISSN: 1742-6588, 1742-6596
    Vydáno: Bristol IOP Publishing 01.03.2023
    Vydáno 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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  10. 10

    Numerical Solution of Backward Problem of a Multi-term Time-space Fractional Diffusion Equation Autor Yang, Yuxuan, Li, Yushan, Qin, Xianru

    ISSN: 1742-6588, 1742-6596
    Vydáno: Bristol IOP Publishing 01.03.2023
    Vydáno 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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  11. 11

    Identification of a Time-Dependent Source Term in Multi-Term Time–Space Fractional Diffusion Equations Autor Li, Yushan, Yang, Yuxuan, Chen, Nanbo

    ISSN: 2227-7390, 2227-7390
    Vydáno: Basel MDPI AG 01.07.2025
    Vydáno 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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  12. 12

    Inertial Forward–Backward Algorithms with Perturbations: Application to Tikhonov Regularization Autor Attouch, Hedy, Cabot, Alexandre, Chbani, Zaki, Riahi, Hassan

    ISSN: 0022-3239, 1573-2878
    Vydáno: New York Springer US 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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  13. 13

    A limiting analysis on regularization of singular SDP and its implication to infeasible interior-point algorithms Autor Tsuchiya, Takashi, Lourenço, Bruno F., Muramatsu, Masakazu, Okuno, Takayuki

    ISSN: 0025-5610, 1436-4646
    Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023
    Vydáno 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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  14. 14

    Heuristic Choice of Regularization Parameter for the Optimal Stabilization of Finite-Element Approximations Autor Drebotiy, R. H., Shynkarenko, H. A.

    ISSN: 1072-3374, 1573-8795
    Vydáno: Cham Springer International Publishing 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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  15. 15

    Numerical Inversion for Determining Time-Dependent Reaction Coefficient in 1-D Solute Transportation by Homotopy Regularization Algorithm Autor Lou, Hezhong, Li, Gongsheng

    ISBN: 9781457715402, 1457715406
    Vydáno: IEEE 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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  16. 16

    Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution Autor Ma, Cong, Wang, Kaizheng, Chi, Yuejie, Chen, Yuxin

    ISSN: 1615-3375, 1615-3383
    Vydáno: New York Springer US 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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  17. 17

    Krasnoselskii–Mann Iterations: Inertia, Perturbations and Approximation Autor Cortild, Daniel, Peypouquet, Juan

    ISSN: 0022-3239, 1573-2878
    Vydáno: New York Springer US 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 Autor Sumin, V. I, Sumin, M. I

    ISSN: 0012-2661, 1608-3083
    Vydáno: New York Springer Nature B.V 01.02.2024
    Vydáno 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 Autor Zheng, Jun, Yuan, Ting, Xie, Wenwu, Yang, Zhihe, Yu, Dan

    ISSN: 1424-8220, 1424-8220
    Vydáno: Switzerland MDPI AG 17.07.2023
    Vydáno 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 Autor Sumin, M. I.

    ISSN: 0965-5425, 1555-6662
    Vydáno: Moscow Pleiades Publishing 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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