Search Results - Inverse problem Iterative minimization algorithm Numerical

Numerical resolution of an electromagnetic inverse medium problem at fixed frequency by de Buhan, M., Darbas, M.

“… We express the inverse problem as the minimization of a cost function representing the difference between the measured and predicted fields…”
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The Inverse Problem of Positive Autoconvolution by Finesso, Lorenzo, Spreij, Peter

“… After proving the existence of an optimal approximation, we derive an iterative descent algorithm of the alternating minimization type to find a minimizer…”
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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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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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Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding by Bredies, Kristian, Lorenz, Dirk A., Reiterer, Stefan

“…Convergence analysis is carried out for a forward-backward splitting/generalized gradient projection method for the minimization of a special class of non-smooth and genuinely non-convex minimization…”
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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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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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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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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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Shrinkage-Thresholding Enhanced Born Iterative Method for Solving 2D Inverse Electromagnetic Scattering Problem by Desmal, Abdulla, Bagci, Hakan

“…) algorithms within the Born iterative method (BIM) is proposed for solving the two-dimensional inverse electromagnetic scattering problem…”
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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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An enhanced sparse regularization method for impact force identification by Qiao, Baijie, Liu, Junjiang, Liu, Jinxin, Yang, Zhibo, Chen, Xuefeng

“…•A weighted l1-norm convex optimization model for impact force identification is developed.•Iteratively reweighted l1-norm minimization algorithm is proposed for solving impact force identification…”
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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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A Splitting-Based Iterative Algorithm for Accelerated Statistical X-Ray CT Reconstruction by Ramani, S., Fessler, J. A.

“…). However, the huge dynamic range of the statistical weights leads to a highly shift-variant inverse problem making it difficult to precondition and accelerate existing iterative algorithms that attack…”
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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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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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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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An Extended Reweighted ℓ1 Minimization Algorithm for Image Restoration by Huang, Sining, Chen, Yupeng, Qiao, Tiantian

“…This paper proposes an effective extended reweighted ℓ1 minimization algorithm (ERMA) to solve the basis pursuit problem minu…”
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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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