Výsledky vyhledávání - Prox-linear algorithm
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Stochastic variance-reduced prox-linear algorithms for nonconvex composite optimization
ISSN: 0025-5610, 1436-4646Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022Vydáno v Mathematical programming (01.09.2022)“… We propose a class of stochastic variance-reduced prox-linear algorithms for solving such problems and bound their sample complexities for finding an ϵ…”
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Hybrid SGD algorithms to solve stochastic composite optimization problems with application in sparse portfolio selection problems
ISSN: 0377-0427, 1879-1778Vydáno: Elsevier B.V 15.01.2024Vydáno v Journal of computational and applied mathematics (15.01.2024)“… The first algorithm is the prox-linear hybrid stochastic gradient algorithm, which may achieve sample complexities of O(ϵ2τ−5/2) and O(ϵτ−3/2…”
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Low-Rank Matrix Recovery with Composite Optimization: Good Conditioning and Rapid Convergence
ISSN: 1615-3375, 1615-3383Vydáno: New York Springer US 01.12.2021Vydáno v Foundations of computational mathematics (01.12.2021)“… Consequently, standard algorithms for nonsmooth optimization, such as subgradient and prox-linear methods, converge at a rapid dimension-independent rate when initialized within constant relative error of the solution…”
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Robust and Scalable Power System State Estimation via Composite Optimization
ISSN: 1949-3053, 1949-3061Vydáno: Piscataway IEEE 01.11.2019Vydáno v IEEE transactions on smart grid (01.11.2019)“… This paper, develops two novel algorithms for efficient LAV estimation, which draw from recent advances in composite optimization…”
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A Barzilai–Borwein-Like Iterative Half Thresholding Algorithm for the L1/2 Regularized Problem
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.05.2016Vydáno v Journal of scientific computing (01.05.2016)“…In this paper, we propose a Barzilai–Borwein-like iterative half thresholding algorithm for the L 1 / 2 regularized problem…”
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Stochastic Variance-Reduced Prox-Linear Algorithms for Nonconvex Composite Optimization
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 14.05.2021Vydáno v arXiv.org (14.05.2021)“… We propose a class of stochastic variance-reduced prox-linear algorithms for solving such problems and bound their sample complexities for finding an \(\epsilon…”
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Hyperparameter tuning via trajectory predictions: stochastic prox-linear methods in matrix sensing
ISSN: 0025-5610, 1436-4646Vydáno: 17.09.2025Vydáno v Mathematical programming (17.09.2025)“…Motivated by the desire to understand stochastic algorithms for nonconvex optimization that are robust to their hyperparameter choices, we analyze a mini-batched prox-linear iterative algorithm…”
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REAL-TIME POWER SYSTEM STATE ESTIMATION VIA DEEP UNROLLED NEURAL NETWORKS
Vydáno: IEEE 01.11.2018Vydáno v 2018 IEEE Global Conference on Signal and Information Processing (GlobalSIP) (01.11.2018)“… model-specific DNN is obtained by unrolling state-of-the-art physics-based prox-linear PSSE solvers…”
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Konferenční příspěvek -
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A Globally Convergent Algorithm for Nonconvex Optimization Based on Block Coordinate Update
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.08.2017Vydáno v Journal of scientific computing (01.08.2017)“… However, most nonconvex optimization algorithms are only known to have local convergence or subsequence convergence properties…”
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Efficiency of minimizing compositions of convex functions and smooth maps
ISSN: 0025-5610, 1436-4646Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2019Vydáno v Mathematical programming (01.11.2019)“… The basic algorithm we rely on is the prox-linear method, which in each iteration solves a regularized subproblem formed by linearizing the smooth map…”
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Hyperparameter tuning via trajectory predictions: Stochastic prox-linear methods in matrix sensing
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 02.02.2024Vydáno v arXiv.org (02.02.2024)“…Motivated by the desire to understand stochastic algorithms for nonconvex optimization that are robust to their hyperparameter choices, we analyze a mini-batched prox-linear iterative algorithm…”
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Stochastic algorithms with geometric step decay converge linearly on sharp functions
ISSN: 0025-5610, 1436-4646Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2024Vydáno v Mathematical programming (01.09.2024)“… In this work, we ask whether geometric step decay similarly improves stochastic algorithms for the class of sharp weakly convex problems…”
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Accelerated-gradient-based generalized Levenberg–Marquardt method with oracle complexity bound and local quadratic convergence
ISSN: 0025-5610, 1436-4646Vydáno: Heidelberg Springer Nature B.V 01.09.2025Vydáno v Mathematical programming (01.09.2025)“… The generalized Levenberg–Marquardt (LM) method, also known as the prox-linear method, has been developed for such optimization problems…”
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The multiproximal linearization method for convex composite problems
ISSN: 0025-5610, 1436-4646Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2020Vydáno v Mathematical programming (01.07.2020)“… In the convex setting, we design an algorithm by linearizing each smooth component in accordance with its main curvature…”
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Large-Scale Distributed Sparse Class-Imbalance Learning
ISSN: 0020-0255, 1872-6291Vydáno: Elsevier Inc 01.08.2018Vydáno v Information sciences (01.08.2018)“… Each node runs a local copy of FISTA-like algorithm which is a distributed implementation of the prox-linear algorithm for cost-sensitive learning. We show the efficacy of the proposed approach on benchmark and real-world data sets and compare the performance with the state-of-the-art techniques in the literature…”
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Multi-Label Nonlinear Matrix Completion With Transductive Multi-Task Feature Selection for Joint MGMT and IDH1 Status Prediction of Patient With High-Grade Gliomas
ISSN: 0278-0062, 1558-254X, 1558-254XVydáno: United States IEEE 01.08.2018Vydáno v IEEE transactions on medical imaging (01.08.2018)“…The O 6 -methylguanine-DNA methyltransferase (MGMT) promoter methylation and isocitrate dehydrogenase 1 (IDH1) mutation in high-grade gliomas (HGG) have proven…”
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A Proximal Atomic Coordination Algorithm for Distributed Optimization
ISSN: 0018-9286, 1558-2523Vydáno: New York IEEE 01.02.2022Vydáno v IEEE transactions on automatic control (01.02.2022)“…). PAC is based on the prox-linear approach and we prove that it achieves convergence in both objective values and distance to feasibility with rate o(1/<inline…”
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Continuous-time successive convexification for constrained trajectory optimization
ISSN: 0005-1098Vydáno: Elsevier Ltd 01.10.2025Vydáno v Automatica (Oxford) (01.10.2025)“…; and (v) the prox-linear method, a sequential convex programming (SCP) algorithm for convex-composite minimization…”
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Dynamic reconfigurable intelligent surface deployment for physical layer security enhancement in mmWave systems
ISSN: 1751-8628, 1751-8636Vydáno: Wiley 01.03.2024Vydáno v IET communications (01.03.2024)“…In next‐generation wireless communications, reconfigurable intelligent surface (RIS) has emerged as a cost‐effective technique for enhancing physical layer…”
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Classification of Directed Networks With Application to Neuroimaging Data
ISSN: 2169-3536, 2169-3536Vydáno: Piscataway IEEE 2024Vydáno v IEEE access (2024)“…Graph-based classification techniques applied to neuroimaging data have played a pivotal role in advancing our comprehension of brain functionalities. Existing…”
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