Výsledky vyhledávání - Inverse problems Iterative minimization algorithm Numerical
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Numerical resolution of an electromagnetic inverse medium problem at fixed frequency
ISSN: 0898-1221, 1873-7668Vydáno: Oxford Elsevier Ltd 15.12.2017Vydáno v Computers & mathematics with applications (1987) (15.12.2017)“… 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
ISSN: 0018-9448, 1557-9654Vydáno: New York IEEE 01.06.2023Vydáno v IEEE transactions on information theory (01.06.2023)“… 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
ISSN: 0162-8828, 1939-3539, 2160-9292, 1939-3539Vydáno: United States IEEE 01.12.2020Vydáno v IEEE transactions on pattern analysis and machine intelligence (01.12.2020)“…Numerous tasks at the core of statistics, learning and vision areas are specific cases of ill-posed inverse problems…”
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Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding
ISSN: 0022-3239, 1573-2878Vydáno: Boston Springer US 01.04.2015Vydáno v Journal of optimization theory and applications (01.04.2015)“…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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High-Performance Numerical Modeling for Detection of Rotator Cuff Tear
ISSN: 1947-1491Vydáno: IEEE 23.07.2023Vydáno v Digest - IEEE Antennas and Propagation Society. International Symposium (1995) (23.07.2023)“… It requires solving an inverse problem by making use of an iterative method based on a minimization algorithm…”
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Numerical Solution of the Inverse Stefan Problem in the Analysis of the Artificial Freezing of a Rock Mass
ISSN: 2070-0482, 2070-0490Vydáno: Moscow Pleiades Publishing 01.09.2021Vydáno v Mathematical models and computer simulations (01.09.2021)“… 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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New self-adaptive step size algorithms for solving split variational inclusion problems and its applications
ISSN: 1017-1398, 1572-9265Vydáno: New York Springer US 01.01.2020Vydáno v Numerical algorithms (01.01.2020)“…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
ISSN: 1862-4472, 1862-4480Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2024Vydáno v Optimization letters (01.03.2024)“… 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
ISSN: 0170-4214, 1099-1476Vydáno: Freiburg Wiley Subscription Services, Inc 15.01.2021Vydáno v Mathematical methods in the applied sciences (15.01.2021)“…‐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
ISSN: 1017-1398, 1572-9265Vydáno: New York Springer US 01.09.2021Vydáno v Numerical algorithms (01.09.2021)“…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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Tradeoffs Between Convergence Speed and Reconstruction Accuracy in Inverse Problems
ISSN: 1053-587X, 1941-0476Vydáno: IEEE 01.04.2018Vydáno v IEEE transactions on signal processing (01.04.2018)“…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
ISSN: 0888-3270, 1096-1216Vydáno: Berlin Elsevier Ltd 01.07.2019Vydáno v Mechanical systems and signal processing (01.07.2019)“…•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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Shrinkage-Thresholding Enhanced Born Iterative Method for Solving 2D Inverse Electromagnetic Scattering Problem
ISSN: 0018-926X, 1558-2221Vydáno: New York, NY IEEE 01.07.2014Vydáno v IEEE transactions on antennas and propagation (01.07.2014)“…) algorithms within the Born iterative method (BIM) is proposed for solving the two-dimensional inverse electromagnetic scattering problem…”
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Gridless Sparse ISAR Imaging via 2-D Fast Reweighted Atomic Norm Minimization
ISSN: 1545-598X, 1558-0571Vydáno: Piscataway IEEE 2022Vydáno v IEEE geoscience and remote sensing letters (2022)“… 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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The Equivalence of Half-Quadratic Minimization and the Gradient Linearization Iteration
ISSN: 1057-7149, 1941-0042Vydáno: New York, NY IEEE 01.06.2007Vydáno v IEEE transactions on image processing (01.06.2007)“…) 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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A Splitting-Based Iterative Algorithm for Accelerated Statistical X-Ray CT Reconstruction
ISSN: 0278-0062, 1558-254X, 1558-254XVydáno: United States IEEE 01.03.2012Vydáno v IEEE transactions on medical imaging (01.03.2012)“…). 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
ISSN: 1862-4472, 1862-4480Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2023Vydáno v Optimization letters (01.11.2023)“… 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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An Extended Reweighted ℓ1 Minimization Algorithm for Image Restoration
ISSN: 2227-7390, 2227-7390Vydáno: Basel MDPI AG 01.12.2021Vydáno v Mathematics (Basel) (01.12.2021)“…This paper proposes an effective extended reweighted ℓ1 minimization algorithm (ERMA) to solve the basis pursuit problem minu…”
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Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces
ISSN: 1017-1398, 1572-9265Vydáno: New York Springer US 01.04.2021Vydáno v Numerical algorithms (01.04.2021)“… and fixed point problem and illustrate the efficiency and performance of our algorithm with a numerical example…”
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Detection of Simulated Brain Strokes Using Microwave Tomography
ISSN: 2469-7249, 2469-7257Vydáno: Piscataway IEEE 01.12.2019Vydáno v IEEE journal of electromagnetics, RF and microwaves in medicine and biology (01.12.2019)“…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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