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An Extended Primal-Dual Algorithm Framework for Nonconvex Problems: Application to Image Reconstruction in Spectral CT
ISSN: 0266-5611Veröffentlicht: England 01.08.2022Veröffentlicht in Inverse problems (01.08.2022)“… Using the convexity of each component of the forward operator, we propose an extended primal-dual algorithm framework for solving a kind of nonconvex and probably nonsmooth optimization problems …”
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An Extended Primal-Dual Algorithm Framework for Nonconvex Problems with Application to Nonlinear Imaging
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 15.09.2021Veröffentlicht in arXiv.org (15.09.2021)“… We propose an extended primal-dual algorithm framework for solving a general nonconvex optimization model …”
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Generalization of Primal--Dual Interior-Point Methods to Convex Optimization Problems in Conic Form
ISSN: 1615-3375, 1615-3383Veröffentlicht: New York Springer Nature B.V 01.07.2001Veröffentlicht in Foundations of computational mathematics (01.07.2001)“… Previously, the most comprehensive theory of symmetric primal--dual interior-point algorithms was given by Nesterov and Todd for feasible regions expressed as the intersection of a symmetric cone …”
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Randomized Primal–Dual Proximal Block Coordinate Updates
ISSN: 2194-668X, 2194-6698Veröffentlicht: Beijing Operations Research Society of China 01.06.2019Veröffentlicht in Journal of the Operations Research Society of China (Internet) (01.06.2019)“… The framework includes several existing algorithms as special cases such as a primal–dual method for bilinear saddle-point problems (PD …”
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Primal-Dual Decomposed State Estimation for Multi-Energy Systems Leveraging Variational Bayesian Approximation
ISSN: 1949-3053, 1949-3061Veröffentlicht: Piscataway IEEE 01.05.2024Veröffentlicht in IEEE transactions on smart grid (01.05.2024)“… The SE Kalman filter framework is extended to allow the application of the primal-dual decomposed constrained optimization …”
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Routing and Spectrum Allocation in Spectrum-Sliced Elastic Optical Path Networks: A Primal-Dual Framework
ISSN: 2079-9292, 2079-9292Veröffentlicht: Basel MDPI AG 01.11.2021Veröffentlicht in Electronics (Basel) (01.11.2021)“… ) bandwidth to address the traffic explosion, while bearing other inherent advantages including enhanced signal quality and extended reachability …”
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A simple primal–dual method for total variation image restoration
ISSN: 1047-3203, 1095-9076Veröffentlicht: Elsevier Inc 01.07.2016Veröffentlicht in Journal of visual communication and image representation (01.07.2016)“… •The algorithm is easy to extended to work on more general total variation image problems. In this study we propose a simple primal …”
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Thermomechanical shakedown analysis considering temperature-dependent yield stress based on the primal-dual eigenstress-driven method
ISSN: 0020-7403Veröffentlicht: 01.01.2024Veröffentlicht in International journal of mechanical sciences (01.01.2024)Volltext
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Mean Square Stability Criterion for Power Systems Under Stochastic Continuous Disturbances
ISSN: 0885-8950, 1558-0679Veröffentlicht: New York IEEE 01.05.2024Veröffentlicht in IEEE transactions on power systems (01.05.2024)“… ) based on nonlinear state equations. Under the framework of SDEs, a criterion for determining the mean square stability of a power system under SCDs is proposed, and it is proved that the proposed stability criterion is a necessary …”
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A Two-Stage Decomposition Approach for AC Optimal Power Flow
ISSN: 0885-8950, 1558-0679Veröffentlicht: New York IEEE 01.01.2021Veröffentlicht in IEEE transactions on power systems (01.01.2021)“… The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its …”
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Comparison of Proximal First-Order Primal and Primal-Dual Algorithms via Performance Estimation
ISSN: 2076-1465Veröffentlicht: European Association for Signal Processing - EURASIP 26.08.2024Veröffentlicht in 2024 32nd European Signal Processing Conference (EUSIPCO) (26.08.2024)“… Our analysis is then extended and evaluated in the context of the primal-dual Chambolle-Pock and Condat-Vũ methods …”
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A Framework for Fast Image Deconvolution With Incomplete Observations
ISSN: 1057-7149, 1941-0042, 1941-0042Veröffentlicht: United States IEEE 01.11.2016Veröffentlicht in IEEE transactions on image processing (01.11.2016)“… of artifacts in the enhanced images. In this paper, we propose a new deconvolution framework for images with incomplete observations that allows us to work with diagonalized convolution operators, and therefore is very fast …”
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A Two-Stage Decomposition Approach for AC Optimal Power Flow
ISSN: 0885-8950, 1558-0679Veröffentlicht: United States IEEE 12.06.2020Veröffentlicht in IEEE transactions on power systems (12.06.2020)“… The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its …”
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Comparison of Proximal First-Order Primal and Primal-Dual algorithms via Performance Estimation
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 15.03.2024Veröffentlicht in arXiv.org (15.03.2024)“… Our analysis is then extended and evaluated in the context of the primal-dual Chambolle-Pock and Condat-Vũ methods …”
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Online Primal-Dual Algorithms with Predictions for Packing Problems
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 01.10.2021Veröffentlicht in arXiv.org (01.10.2021)“… ), clustering, ski rental, etc. Recently, Bamas et al., aiming for an unified method, have provided a primal-dual framework for linear covering problems …”
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Primal-Dual Projected Gradient Algorithms for Extended Linear-Quadratic Programming
ISSN: 1052-6234, 1095-7189Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.11.1993Veröffentlicht in SIAM journal on optimization (01.11.1993)“… Many large-scale problems in dynamic and stochastic optimization can be modeled with extended linear-quadratic programming, which admits penalty terms and treats them through duality …”
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Lifted Primal-Dual Method for Bilinearly Coupled Smooth Minimax Optimization
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 19.01.2022Veröffentlicht in arXiv.org (19.01.2022)“… \) are the corresponding smoothness and strongly convexity constants. We close this gap by devising the first optimal algorithm, the Lifted Primal-Dual (LPD) method …”
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Randomized Primal-Dual Proximal Block Coordinate Updates
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 24.01.2017Veröffentlicht in arXiv.org (24.01.2017)“… The framework includes several existing algorithms as special cases such as a primal-dual method for bilinear saddle-point problems (PD …”
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Towards the Randomized k-Server Conjecture: A Primal-Dual Approach (Extended Abstract)
Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2010Veröffentlicht in Society for Industrial and Applied Mathematics and Association for Computing Machinery. Proceeding of the ACM-SIAM Symposium on Discrete Algorithms (01.01.2010)“… Their results are based on an extension of the primal-dual framework for online algorithms developed by Buchbinder and Naor. They also give an alternate primal-dual approach to design regret minimization algorithms for the problem of online prediction with expert advice …”
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Gradient-domain image decomposition for image recovery
Veröffentlicht: IEEE 01.09.2015Veröffentlicht in 2015 IEEE International Conference on Image Processing (ICIP) (01.09.2015)“… This paper gives a general perspective: the TGV can be regarded as a GID and thus can be extended to more general formulation …”
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