Search Results - optimal perturbation regularization algorithm

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

“…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 by Zhao, Zhi-Xue, Guo, Bao-Zhu, Han, Zhong-Jie

“… 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 by Chi, Guangsheng, Li, Gongsheng, Jia, Xianzheng

“… 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 by Jia, Xianzheng, Li, Gongsheng, Sun, Chunlong, Du, Dianhu

“…) 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 by Li, Gongsheng, Yao, De, Jiang, Hengyi, Jia, Xianzheng

“… 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 by Gongsheng Li, Wenjun Gao

“…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 by Li, G S, Yao, D, Wang, Y Z, Jiang, H Y

“… 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 by Li, G. S

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

“… 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 by Yang, Yuxuan, Li, Yushan, Qin, Xianru

“…), 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 by Li, Yushan, Yang, Yuxuan, Chen, Nanbo

“… 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 by Attouch, Hedy, Cabot, Alexandre, Chbani, Zaki, Riahi, Hassan

“…–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 by Tsuchiya, Takashi, Lourenço, Bruno F., Muramatsu, Masakazu, Okuno, Takayuki

“… 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 by Drebotiy, R. H., Shynkarenko, H. A.

“…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 by Lou, Hezhong, Li, Gongsheng

“… 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 by Ma, Cong, Wang, Kaizheng, Chi, Yuejie, Chen, Yuxin

“… 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 by Cortild, Daniel, Peypouquet, Juan

“… 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 by Sumin, V. I, Sumin, M. I

“…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 by Zheng, Jun, Yuan, Ting, Xie, Wenwu, Yang, Zhihe, Yu, Dan

“… 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 by Sumin, M. I.

“… 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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