Search Results - inverse problems iterative minimization algorithm numerical*

Numerical Solution of the Inverse Stefan Problem in the Analysis of the Artificial Freezing of a Rock Mass by Semin, M. A., Zaitsev, A. V., Levin, L. Yu

“… Stefan’s coefficient inverse problem. In this study, the formulation of the inverse problem is considered and a numerical algorithm for its solution is proposed and implemented…”
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High-Performance Numerical Modeling for Detection of Rotator Cuff Tear by Borzooei, Sahar, Migliaccio, Claire, Dolean, Victorita, Tournier, Pierre-Henri, Pichot, Christian

“… It requires solving an inverse problem by making use of an iterative method based on a minimization algorithm…”
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Numerical resolution of an electromagnetic inverse medium problem at fixed frequency by de Buhan, M., Darbas, M.

“…The aim of this paper is to solve numerically the inverse problem of determining the complex refractive index of an electromagnetic medium from partial boundary field measurements at a fixed frequency…”
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On the Convergence of Learning-Based Iterative Methods for Nonconvex Inverse Problems by Liu, Risheng, Cheng, Shichao, He, Yi, Fan, Xin, Lin, Zhouchen, Luo, Zhongxuan

“…Numerous tasks at the core of statistics, learning and vision areas are specific cases of ill-posed inverse problems…”
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New self-adaptive step size algorithms for solving split variational inclusion problems and its applications by Tang, Yan, Gibali, Aviv

“…In this paper, we study a special instance of the split inverse problem (SIP), which is the split variational inclusion problem (SVIP…”
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Tradeoffs Between Convergence Speed and Reconstruction Accuracy in Inverse Problems by Giryes, Raja, Eldar, Yonina C., Bronstein, Alex M., Sapiro, Guillermo

“…Solving inverse problems with iterative algorithms is popular, especially for large data…”
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A majorization–minimization-based method for nonconvex inverse rig problems in facial animation: algorithm derivation by Racković, Stevo, Soares, Cláudia, Jakovetić, Dušan, Desnica, Zoranka

“… A second-order blendshape approximation leads to higher fidelity facial animation but generates a non-linear least squares optimization problem with high dimensionality…”
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Derivative-free superiorization: principle and algorithm by Censor, Yair, Garduño, Edgar, Helou, Elias S., Herman, Gabor T.

“…The superiorization methodology is intended to work with input data of constrained minimization problems, that is, a target function and a set of constraints…”
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Inverse source problem for a diffusion equation involving the fractional spectral Laplacian by BenSalah, Mohamed, Hassine, Maatoug

“…‐posed inverse problem is formulated as a minimization one. The existence, uniqueness, and stability of the solution are discussed…”
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Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces by Taiwo, A., Alakoya, T. O., Mewomo, O. T.

“… and fixed point problem and illustrate the efficiency and performance of our algorithm with a numerical example…”
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Gridless Sparse ISAR Imaging via 2-D Fast Reweighted Atomic Norm Minimization by Mingjiu, Lv, Chen, Wenfeng, Ma, Jianchao, Yang, Jun, Cheng, Qi, Ma, Xiaoyan

“… imaging based on the 2-D atomic norm minimization (2-D ANM) framework. Next, a reweighting optimization strategy is adopted, which iteratively carries out the 2-D ANM…”
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Detection of Simulated Brain Strokes Using Microwave Tomography by Coli, Vanna Lisa, Tournier, Pierre-Henri, Dolean, Victorita, Kanfoud, Ibtissam El, Pichot, Christian, Migliaccio, Claire, Blanc-Feraud, Laure

“…Brain strokes are one of the leading causes of disability and mortality in adults in developed countries. Ischemic stroke (85% of total cases) and hemorrhagic…”
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The Equivalence of Half-Quadratic Minimization and the Gradient Linearization Iteration by Nikolova, M., Chan, R.H.

“…) regularization term. Mainly because of the latter term, the calculation of the solution is slow and cumbersome. Half-quadratic (HQ) minimization (multiplicative form…”
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Superiorization and bounded perturbation resilience of a gradient projection algorithm solving the convex minimization problem by Ertürk, Müzeyyen, Salkım, Ahmet

“… We obtain that the perturbed version of this gradient projection algorithm converges weakly to a solution of the convex minimization problem just like itself…”
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Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation by Jiang, Daijun, Liu, Yikan, Wang, Dongling

“… This ill-posed problem is solved through a stabilized nonlinear minimization system by an appropriately selected Tikhonov regularization…”
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Generalized cross validation for ℓp-ℓq minimization by Buccini, Alessandro, Reichel, Lothar

“…Discrete ill-posed inverse problems arise in various areas of science and engineering…”
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A conjugate gradient like method for p-norm minimization in functional spaces by Estatico, Claudio, Gratton, Serge, Lenti, Flavia, Titley-Peloquin, David

“…We develop an iterative algorithm to recover the minimum p -norm solution of the functional linear equation A x = b , where A : X…”
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Efficient Numerical Methods of Inverse Coefficient Problem Solution for One Inhomogeneous Body by Vatulyan, Alexandr, Uglich, Pavel, Dudarev, Vladimir, Mnukhin, Roman

“… Sensitivity analysis is carried out. A new inverse problem related to the simultaneous identification of the variation laws…”
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Solving Least-Squares Problems via a Double-Optimal Algorithm and a Variant of the Karush–Kuhn–Tucker Equation for Over-Determined Systems by Liu, Chein-Shan, Kuo, Chung-Lun, Chang, Chih-Wen

“…A double optimal solution (DOS) of a least-squares problem Ax=b,A∈Rq×n with q≠n is derived in an m…”
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Structural Similarity-Based Nonlocal Variational Models for Image Restoration by Wei Wang, Fang Li, Ng, Michael K.

“…) information for image restoration problems. In the literature, patches extracted from images are compared according to their pixel values, and then nonlocal filtering can be employed for image restoration…”
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