Search Results - nonconvex optimisation algorithm

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  1. 1

    Quantized Distributed Nonconvex Optimization Algorithms With Linear Convergence Under the Polyak-Łojasiewicz Condition by Xu, Lei, Yi, Xinlei, Sun, Jiayue, Shi, Yang, Johansson, Karl H., Yang, Tao

    ISSN: 0018-9286, 1558-2523
    Published: New York IEEE 01.10.2025
    Published in IEEE transactions on automatic control (01.10.2025)
    “… algorithms, respectively, we then propose two quantized distributed nonconvex optimization algorithms…”
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  2. 2

    Nonconvex spectral optimization algorithms for reduced‐order H∞ LPV‐LFT controllers by Shi, Ye, Tuan, Hoang D., Apkarian, Pierre

    ISSN: 1049-8923, 1099-1239
    Published: Bognor Regis Wiley Subscription Services, Inc 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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  3. 3

    Penalty Dual Decomposition Method for Nonsmooth Nonconvex Optimization-Part I: Algorithms and Convergence Analysis by Shi, Qingjiang, Hong, Mingyi

    ISSN: 1053-587X, 1941-0476
    Published: New York IEEE 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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  4. 4

    Proximal gradient nonconvex optimization algorithm for the slice-based ℓ0-constrained convolutional dictionary learning by Li, Jing, Wei, Xiao, Li, Qiuhui, Zhang, Yali, Li, Ze, Li, Jin, Wang, Jinjia

    ISSN: 0950-7051, 1872-7409
    Published: Elsevier B.V 25.01.2023
    Published 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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  5. 5

    Quantized Zeroth-Order Gradient Tracking Algorithm for Distributed Nonconvex Optimization Under Polyak-Łojasiewicz Condition by Xu, Lei, Yi, Xinlei, Deng, Chao, Shi, Yang, Chai, Tianyou, Yang, Tao

    ISSN: 2168-2267, 2168-2275, 2168-2275
    Published: United States IEEE 01.10.2024
    Published 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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  6. 6

    A parameterized Douglas–Rachford splitting algorithm for nonconvex optimization by Bian, Fengmiao, Zhang, Xiaoqun

    ISSN: 0096-3003, 1873-5649
    Published: Elsevier Inc 01.12.2021
    Published 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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  7. 7

    Perturbed proximal primal–dual algorithm for nonconvex nonsmooth optimization by Hajinezhad, Davood, Hong, Mingyi

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019
    Published 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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  8. 8

    A Robust Coevolutionary Neural-Based Optimization Algorithm for Constrained Nonconvex Optimization by Wei, Lin, Jin, Long, Luo, Xin

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Published: United States IEEE 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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  9. 9

    Linear Convergence of First- and Zeroth-Order Primal-Dual Algorithms for Distributed Nonconvex Optimization by Yi, Xinlei, Zhang, Shengjun, Yang, Tao, Chai, Tianyou, Johansson, Karl H.

    ISSN: 0018-9286, 1558-2523, 1558-2523
    Published: New York IEEE 01.08.2022
    Published 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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  10. 10

    Smoothing Iterative Consensus-based Optimization Algorithm for Nonsmooth Nonconvex Optimization Problems with Global Optimality: Smoothing Iterative Consensus by Wei, Jiazhen, Bian, Wei

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer US 01.07.2025
    Published 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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  11. 11

    Smoothing Iterative Consensus-based Optimization Algorithm for Nonsmooth Nonconvex Optimization Problems with Global Optimality by Wei, Jiazhen, Bian, Wei

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer Nature B.V 01.07.2025
    Published 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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  12. 12

    Metalearning-Based Alternating Minimization Algorithm for Nonconvex Optimization by Xia, Jing-Yuan, Li, Shengxi, Huang, Jun-Jie, Yang, Zhixiong, Jaimoukha, Imad M., Gunduz, Deniz

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Published: United States IEEE 01.09.2023
    “… Meanwhile, learning-based approaches, such as deep unfolding algorithms, have gained popularity for nonconvex optimization…”
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  13. 13

    iPiano: Inertial Proximal Algorithm for Nonconvex Optimization by Ochs, Peter, Chen, Yunjin, Brox, Thomas, Pock, Thomas

    ISSN: 1936-4954, 1936-4954
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014
    Published 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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  14. 14

    Differentially private and communication-efficient distributed nonconvex optimization algorithms by Xie, Antai, Yi, Xinlei, Wang, Xiaofan, Cao, Ming, Ren, Xiaoqiang

    ISSN: 0005-1098
    Published: Elsevier Ltd 01.07.2025
    Published 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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  15. 15

    ϵ-Approximation of Adaptive Leaning Rate Optimization Algorithms for Constrained Nonconvex Stochastic Optimization by Iiduka, Hideaki

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Published: United States IEEE 01.10.2023
    “…This brief considers constrained nonconvex stochastic finite-sum and online optimization in deep neural networks…”
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  16. 16

    An Inertial Tseng’s Type Proximal Algorithm for Nonsmooth and Nonconvex Optimization Problems by Boţ, Radu Ioan, Csetnek, Ernö Robert

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 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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  17. 17

    A Globally Convergent Algorithm for Nonconvex Optimization Based on Block Coordinate Update by Xu, Yangyang, Yin, Wotao

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer US 01.08.2017
    Published 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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  18. 18

    An inexact modified subgradient algorithm for nonconvex optimization by Burachik, Regina S., Kaya, C. Yalçın, Mammadov, Musa

    ISSN: 0926-6003, 1573-2894
    Published: Boston Springer US 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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  19. 19

    The Boosted Double-proximal Subgradient Algorithm for nonconvex optimization by Aragón-Artacho, Francisco J., Pérez-Aros, Pedro, Torregrosa-Belén, David

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2025
    Published 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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