Search Results - nonconvex optimisation algorithm
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Quantized Distributed Nonconvex Optimization Algorithms With Linear Convergence Under the Polyak-Łojasiewicz Condition
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.10.2025Published in IEEE transactions on automatic control (01.10.2025)“… algorithms, respectively, we then propose two quantized distributed nonconvex optimization algorithms…”
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Nonconvex spectral optimization algorithms for reduced‐order H∞ LPV‐LFT controllers
ISSN: 1049-8923, 1099-1239Published: Bognor Regis Wiley Subscription Services, Inc 01.12.2017Published in International journal of robust and nonlinear control (01.12.2017)“…Summary A novel sequential semi‐definite programming method is developed for optimization subject to rank constraints on matrix…”
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Penalty Dual Decomposition Method for Nonsmooth Nonconvex Optimization-Part I: Algorithms and Convergence Analysis
ISSN: 1053-587X, 1941-0476Published: New York IEEE 2020Published in IEEE transactions on signal processing (2020)“… Often there is a lack of efficient algorithms for these problems, especially when the optimization variables are nonlinearly coupled in some nonconvex constraints…”
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Proximal gradient nonconvex optimization algorithm for the slice-based ℓ0-constrained convolutional dictionary learning
ISSN: 0950-7051, 1872-7409Published: Elsevier B.V 25.01.2023Published in Knowledge-based systems (25.01.2023)“…Convolutional dictionary learning (CDL) aims to learn a structured local convolutional dictionary and the sparse coefficient maps from the signals of various…”
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Quantized Zeroth-Order Gradient Tracking Algorithm for Distributed Nonconvex Optimization Under Polyak-Łojasiewicz Condition
ISSN: 2168-2267, 2168-2275, 2168-2275Published: United States IEEE 01.10.2024Published in IEEE transactions on cybernetics (01.10.2024)“…This article focuses on distributed nonconvex optimization by exchanging information between agents to minimize the average of local nonconvex cost functions…”
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A parameterized Douglas–Rachford splitting algorithm for nonconvex optimization
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 01.12.2021Published in Applied mathematics and computation (01.12.2021)“… We established the global convergence of PDR splitting method in a nonconvex setting. Moreover, we provide a convergence analysis for an adaptive DR algorithm in nonconvex settings as a byproduct…”
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Perturbed proximal primal–dual algorithm for nonconvex nonsmooth optimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019Published in Mathematical programming (01.07.2019)“…In this paper, we propose a perturbed proximal primal–dual algorithm (PProx-PDA) for an important class of linearly constrained optimization problems, whose…”
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A Robust Coevolutionary Neural-Based Optimization Algorithm for Constrained Nonconvex Optimization
ISSN: 2162-237X, 2162-2388, 2162-2388Published: United States IEEE 01.06.2024Published in IEEE transaction on neural networks and learning systems (01.06.2024)“…For nonconvex optimization problems, a routine is to assume that there is no perturbation when executing the solution task…”
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Linear Convergence of First- and Zeroth-Order Primal-Dual Algorithms for Distributed Nonconvex Optimization
ISSN: 0018-9286, 1558-2523, 1558-2523Published: New York IEEE 01.08.2022Published in IEEE transactions on automatic control (01.08.2022)“…This article considers the distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of local cost functions by using local information exchange…”
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Smoothing Iterative Consensus-based Optimization Algorithm for Nonsmooth Nonconvex Optimization Problems with Global Optimality: Smoothing Iterative Consensus
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.07.2025Published in Journal of scientific computing (01.07.2025)“…In this paper, we focus on finding the global minimizer of a general unconstrained nonsmooth nonconvex optimization problem…”
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Smoothing Iterative Consensus-based Optimization Algorithm for Nonsmooth Nonconvex Optimization Problems with Global Optimality
ISSN: 0885-7474, 1573-7691Published: New York Springer Nature B.V 01.07.2025Published in Journal of scientific computing (01.07.2025)“…In this paper, we focus on finding the global minimizer of a general unconstrained nonsmooth nonconvex optimization problem…”
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Metalearning-Based Alternating Minimization Algorithm for Nonconvex Optimization
ISSN: 2162-237X, 2162-2388, 2162-2388Published: United States IEEE 01.09.2023Published in IEEE transaction on neural networks and learning systems (01.09.2023)“… Meanwhile, learning-based approaches, such as deep unfolding algorithms, have gained popularity for nonconvex optimization…”
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iPiano: Inertial Proximal Algorithm for Nonconvex Optimization
ISSN: 1936-4954, 1936-4954Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014Published in SIAM journal on imaging sciences (01.01.2014)“…In this paper we study an algorithm for solving a minimization problem composed of a differentiable (possibly nonconvex) and a convex…”
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Differentially private and communication-efficient distributed nonconvex optimization algorithms
ISSN: 0005-1098Published: Elsevier Ltd 01.07.2025Published in Automatica (Oxford) (01.07.2025)“… We show that the proposed algorithms achieve sublinear convergence for smooth (possibly nonconvex) cost functions and linear convergence when the global cost function additionally satisfies the Polyak…”
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ϵ-Approximation of Adaptive Leaning Rate Optimization Algorithms for Constrained Nonconvex Stochastic Optimization
ISSN: 2162-237X, 2162-2388, 2162-2388Published: United States IEEE 01.10.2023Published in IEEE transaction on neural networks and learning systems (01.10.2023)“…This brief considers constrained nonconvex stochastic finite-sum and online optimization in deep neural networks…”
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An Inertial Tseng’s Type Proximal Algorithm for Nonsmooth and Nonconvex Optimization Problems
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.11.2016Published in Journal of optimization theory and applications (01.11.2016)“…We investigate the convergence of a forward–backward–forward proximal-type algorithm with inertial and memory effects when minimizing the sum of a nonsmooth function with a smooth one in the absence of convexity…”
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A Globally Convergent Algorithm for Nonconvex Optimization Based on Block Coordinate Update
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.08.2017Published in 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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An inexact modified subgradient algorithm for nonconvex optimization
ISSN: 0926-6003, 1573-2894Published: Boston Springer US 01.01.2010Published in Computational optimization and applications (01.01.2010)“…We propose and analyze an inexact version of the modified subgradient (MSG) algorithm, which we call the IMSG algorithm, for nonsmooth and nonconvex optimization over a compact set…”
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The Boosted Double-proximal Subgradient Algorithm for nonconvex optimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2025Published in Mathematical programming (01.11.2025)“…In this paper we introduce the Boosted Double-proximal Subgradient Algorithm (BDSA), a novel splitting algorithm designed to address general structured…”
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20
Proximal gradient nonconvex optimization algorithm for the slice-based ℓ 0 -constrained convolutional dictionary learning
ISSN: 0950-7051Published: 01.01.2023Published in Knowledge-based systems (01.01.2023)Get full text
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