A novel projection-based method for monotone equations with Aitken Δ2 acceleration and its application to sparse signal restoration: A novel projection-based method for monotone equations with aitken \(\Delta^2\) acceleration and its application to sparse signal restoration

Authors: Ahmad Kamandi

Source: Applied Numerical Mathematics. 213:1-11

Subject Terms: large scale systems, projection based method, signal restoration, aitken \(\Delta^2\) process, systems of monotone equations, Numerical methods for mathematical programming, optimization and variational techniques, Mathematical programming, Nonlinear algebraic or transcendental equations, normalized negative residual

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Access URL: https://zbmath.org/8034914
https://doi.org/10.1016/j.apnum.2025.02.013

Grid is Good. Adaptive Refinement Algorithms for Off-the-Grid Total Variation Minimization: Grid is good. Adaptive refinement algorithms for off-the-grid total variation minimization

Authors: Flinth, Axel, de Gournay, Frédéric, Weiss, Pierre

Source: Open Journal of Mathematical Optimization. 6:1-27

Subject Terms: Total variation, measure spaces, Beräkningsmatematik, Communication, information, 0211 other engineering and technologies, Mathematical programming, Frank-Wolfe, 02 engineering and technology, Computational Mathematics, Frank–Wolfe, total variation, Optimization and Control (math.OC), Numerical methods for mathematical programming, optimization and variational techniques, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Optimization and Control

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2301.07555
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-242250

Hyper-differential sensitivity analysis with respect to model discrepancy: Posterior optimal solution sampling: Hyper-differential sensitivity analysis with respect to model discrepancy: posterior optimal solution sampling

Authors: Hart, Joseph, Waanders, Bart van Bloemen

Source: Foundations of Data Science. 7:99-133

Subject Terms: Numerical optimization and variational techniques, post-optimality sensitivity analysis, Numerical methods for mathematical programming, optimization and variational techniques, Bayesian analysis, FOS: Mathematics, PDE-constrained optimization, model discrepancy, Probabilistic methods, stochastic differential equations, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, hyper-differential sensitivity analysis, 01 natural sciences

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Access URL: http://arxiv.org/abs/2402.10957
https://zbmath.org/7985324
https://doi.org/10.3934/fods.2024027

Efficient image restoration via non-convex total variation regularization and ADMM optimization

Authors: Narendra Kumar, Munnu Sonkar, Gaurav Bhatnagar

Source: Applied Mathematical Modelling. 132:428-453

Subject Terms: non-convex optimization, total variation, image deconvolution, Numerical methods for mathematical programming, optimization and variational techniques, Communication, information, alternating direction method of multipliers, sparsity, Mathematical programming, image restoration, \( l_{\frac{ 1}{ 2}}\) regularization

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An adaptive fractional-order regularization primal-dual image denoising algorithm based on non-convex function

Authors: Minmin Li, Shaojiu Bi, Guangcheng Cai

Source: Applied Mathematical Modelling. 131:67-83

Subject Terms: image denoising, Numerical methods for mathematical programming, optimization and variational techniques, Communication, information, primal-dual algorithm, Mathematical programming, non-convex function, diffusion coefficient, complexity analysis, fractional-order

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A New Golden Ratio Inertial Algorithm with Two Types of Self Adaptive Step Sizes for Solving Nonlinear Inclusion Problems: A new golden ratio inertial algorithm with two types of self adaptive step sizes for solving nonlinear inclusion problems

Authors: Zhong-bao Wang, Xing-yu Chen, Zhang-you Chen

Source: Journal of Scientific Computing. 103

Subject Terms: Numerical methods for mathematical programming, optimization and variational techniques, nonlinear inclusion problem, convergence and convergence rates, Mathematical programming, golden ratio algorithm, self adaptive step sizes, Equations and inequalities involving nonlinear operators, inertial accelerations

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Linewalker: line search for black box derivative-free optimization and surrogate model construction

Authors: Papageorgiou, Dimitri J., Kronqvist, Jan, Kumaran, Krishnan

Source: Optimization and Engineering. 25:2229-2293

Subject Terms: derivative-free optimization, Optimization and Control (math.OC), Numerical methods for mathematical programming, optimization and variational techniques, active learning, tabu search, FOS: Mathematics, Mathematical programming, surrogate model, black-box optimization, Mathematics - Optimization and Control, Operations research, mathematical programming, Gaussian process regression

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Access URL: http://arxiv.org/abs/2307.10463

A multigrid assisted reanalysis method for accelerated heat transfer topology optimization

Authors: Jichao Yin, Shuhao Li, Daozhen Guo, Hu Wang

Source: Applied Mathematical Modelling. 125:402-423

Subject Terms: Numerical and other methods in solid mechanics, Numerical methods for mathematical programming, optimization and variational techniques, maximum temperature minimization, Optimization problems in solid mechanics, efficiency improvement, thermal compliance minimization, multigrid assisted reanalysis, topology optimization

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Neurodynamic optimization algorithm for split equality problems and application to sparse signal recovery

Authors: Binghao OuYang, Yong Wang, Xingxing Ju, Weichuang Yu

Source: Communications in Nonlinear Science and Numerical Simulation. 147:108822

Subject Terms: Numerical methods for mathematical programming, optimization and variational techniques, sparse signal recovery, Nonlinear operators and their properties, Mathematical programming, fixed-time convergence, sparse image reconstruction, neurodynamic optimization algorithm, split equality problems

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Access URL: https://zbmath.org/8035187
https://doi.org/10.1016/j.cnsns.2025.108822

An accelerated spectral CG based algorithm for optimization techniques on Riemannian manifolds and its comparative evaluation

Authors: Chunming Tang, Wancheng Tan, Yongshen Zhang, Zhixian Liu

Source: Journal of Computational and Applied Mathematics. 462:116482

Subject Terms: global convergence, linear convergence rate, Numerical methods in optimal control, Numerical methods for mathematical programming, optimization and variational techniques, conjugate gradient method, Mathematical programming, accelerated method, Riemannian optimization

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Access URL: https://zbmath.org/7988019
https://doi.org/10.1016/j.cam.2024.116482

An outer space branch-reduction-bound algorithm using second-order cone relaxation with regional reduction strategy for solving equivalent generalized linear multiplicative programming

Authors: Xiaoli Huang, Yuelin Gao, Bo Zhang, Xia Liu

Source: Journal of Computational and Applied Mathematics. 462:116481

Subject Terms: Numerical methods for mathematical programming, optimization and variational techniques, global optimization, reduction technique, Mathematical programming, branch-and-bound, second-order cone relaxation, Operations research, mathematical programming, linear multiplicative programming

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Access URL: https://zbmath.org/7988018
https://doi.org/10.1016/j.cam.2024.116481

Selection of active elements for morphing tensegrities based on constructing basis for column space of sensitivity matrix

Authors: Liu, Yuhang, Deng, Hua, Zhu, Dexi

Source: Applied Mathematical Modelling. 119:257-272

Subject Terms: sensitivity matrix, Numerical methods for mathematical programming, optimization and variational techniques, length actuation, column space, tensegrity, morphing structure, Equilibrium (steady-state) problems in solid mechanics, Thin bodies, structures, active element

File Description: application/xml

Access URL: https://zbmath.org/8019317
https://doi.org/10.1016/j.apm.2023.02.030

Intensity inhomogeneity image segmentation based on the gradient-based spaces and the prior constraint

Authors: Zhi-Feng Pang, Jinyan Yao, Baoli Shi, Haohui Zhu

Source: Applied Mathematical Modelling. 119:605-625

Subject Terms: prior constraint, Computing methodologies and applications, Numerical methods for mathematical programming, optimization and variational techniques, iterative convolution-thresholding method, Mathematical programming, alternating direction method of multipliers (ADMM), intensity inhomogeneity image segmentation, gradient-based model

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Access URL: https://zbmath.org/8019337
https://doi.org/10.1016/j.apm.2023.02.024

An accelerated preconditioned proximal gradient algorithm with a generalized Nesterov momentum for PET image reconstruction

Authors: Yizun Lin, Yongxin He, C Ross Schmidtlein, Deren Han

Source: Inverse Problems. 41:045002

Subject Terms: positron emission tomography, total variation, Optimization and Control (math.OC), Numerical methods for mathematical programming, optimization and variational techniques, Communication, information, 65J22, 65K05, 90C25, FOS: Mathematics, Mathematical programming, accelerated preconditioned proximal gradient algorithm, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), image reconstruction, Mathematics - Optimization and Control

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Access URL: http://arxiv.org/abs/2409.13344
https://zbmath.org/8034684
https://doi.org/10.1088/1361-6420/adbd6a

A step function based recursion method for 0/1 deep neural networks

Authors: Hui Zhang, Shenglong Zhou, Geoffrey Ye Li, Naihua Xiu, Yiju Wang

Source: Applied Mathematics and Computation. 488:129129

Subject Terms: Artificial intelligence, step function, Numerical methods for mathematical programming, optimization and variational techniques, separability, Mathematical programming, 0/1 DNNs, recursion method

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Access URL: https://zbmath.org/8030374
https://doi.org/10.1016/j.amc.2024.129129

Randomized block coordinate descent method for linear ill-posed problems

Authors: Qinian Jin, Duo Liu

Source: Inverse Problems. 41:035012

Subject Terms: convergence, Numerical analysis in abstract spaces, Mathematical programming, imaging, 65J20, 65J22, 65J10, 94A08, Numerical Analysis (math.NA), Optimization and Control (math.OC), Numerical methods for mathematical programming, optimization and variational techniques, FOS: Mathematics, linear ill-posed problems, Mathematics - Numerical Analysis, randomized block coordinate descent method, convex regularization term, Mathematics - Optimization and Control

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Access URL: http://arxiv.org/abs/2405.13340

Parametric level-sets enhanced to improve reconstruction (PaLEnTIR)

Authors: Ege Ozsar, Misha Kilmer, Eric de Sturler, Arvind K Saibaba, Eric Miller

Source: Inverse Problems. 41:025004

Subject Terms: FOS: Computer and information sciences, reconstruction, Computer Vision and Pattern Recognition (cs.CV), Numerical linear algebra, Image and Video Processing (eess.IV), Computer Science - Computer Vision and Pattern Recognition, Mathematical programming, parametric, piecewise constant, 02 engineering and technology, Numerical Analysis (math.NA), tomography, Electrical Engineering and Systems Science - Image and Video Processing, Level-set, 01 natural sciences, 65F22, 65F99, 65N21, Numerical methods for mathematical programming, optimization and variational techniques, PaLS, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, level-set, Mathematics - Numerical Analysis, 0101 mathematics, Parametric

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Access URL: http://arxiv.org/abs/2204.09815

Uncertainty Quantification of Density Reconstruction Using MCMC Method in High-Energy X-ray Radiography: Uncertainty quantification of density reconstruction using MCMC method in high-energy X-ray radiography

Authors: Li, Xinge, Xu, Haibo, Zheng, Na, Jia, Qinggang, Gu, Tongxiang, Wei, Suhua

Source: Communications in Computational Physics. 27:1485-1504

Subject Terms: Applications to the sciences, uncertainty quantification, Numerical methods for mathematical programming, optimization and variational techniques, Bayesian inference, MCMC method, inverse problem, Applications of statistics to physics, 0101 mathematics, 01 natural sciences, density reconstruction

File Description: application/xml

Access URL: https://zbmath.org/7418540
https://doi.org/10.4208/cicp.oa-2019-0060
https://ui.adsabs.harvard.edu/abs/2020CCoPh..27.1485S/abstract

BALANCED WORDS AND MAJORIZATION: Balanced words and majorization

Authors: Oliver Jenkinson

Source: Discrete Mathematics, Algorithms and Applications. :463-483

Subject Terms: Combinatorial optimization, Combinatorics on words, Mathematical economics, Symbolic dynamics, 0102 computer and information sciences, 01 natural sciences, balanced word, Dynamical systems involving maps of the interval, symbolic dynamics, Numerical methods for mathematical programming, optimization and variational techniques, Sturmian, majorization, 0101 mathematics, optimization

File Description: application/xml

Access URL: http://www.maths.qmw.ac.uk/~omj/bal3.pdf
https://zbmath.org/5680910
https://doi.org/10.1142/s179383090900035x
https://www.worldscientific.com/doi/abs/10.1142/S179383090900035X
https://doi.org/10.1142/S179383090900035X
https://dblp.uni-trier.de/db/journals/dmaa/dmaa1.html#Jenkinson09

Optimization and Applications: Optimization and applications

Authors: Claude Lemaréchal, Florian Jarre, Jochem Zowe

Source: Oberwolfach Reports. 2:69-133

Subject Terms: Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control, Collections of abstracts of lectures, Numerical methods for mathematical programming, optimization and variational techniques, Mathematical programming, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to numerical analysis, Proceedings, conferences, collections, etc. pertaining to operations research and mathematical programming

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Access URL: https://zbmath.org/2195684
https://doi.org/10.4171/owr/2005/02
https://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=2&iss=1&rank=2