Search Results - Approximation proximal gradient algorithm

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  1. 1

    An approximation proximal gradient algorithm for nonconvex-linear minimax problems with nonconvex nonsmooth terms by He, Jiefei, Zhang, Huiling, Xu, Zi

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.09.2024
    Published in Journal of global optimization (01.09.2024)
    “… In this paper, we propose an efficient approximation proximal gradient algorithm for solving a class of nonsmooth nonconvex-linear minimax problems with a nonconvex nonsmooth term, and the number…”
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    Journal Article
  2. 2

    Stochastic proximal-gradient algorithms for penalized mixed models by Fort, Gersende, Ollier, Edouard, Samson, Adeline

    ISSN: 0960-3174, 1573-1375
    Published: New York Springer US 01.03.2019
    Published in Statistics and computing (01.03.2019)
    “… can be approximated by a Monte Carlo technique. We propose a new algorithm based on a stochastic approximation of the proximal-gradient (PG) algorithm…”
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    Journal Article
  3. 3

    Fast nonnegative tensor factorization based on accelerated proximal gradient and low-rank approximation by Zhang, Yu, Zhou, Guoxu, Zhao, Qibin, Cichocki, Andrzej, Wang, Xingyu

    ISSN: 0925-2312, 1872-8286
    Published: Elsevier B.V 19.07.2016
    Published in Neurocomputing (Amsterdam) (19.07.2016)
    “… In this study, we propose a new algorithm called FastNTF_APG to speed up NTF by combining accelerated proximal gradient and low-rank approximation…”
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    Journal Article
  4. 4

    Smoothing composite proximal gradient algorithm for sparse group Lasso problems with nonsmooth loss functions by Shen, Huiling, Peng, Dingtao, Zhang, Xian

    ISSN: 1598-5865, 1865-2085
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2024
    Published in Journal of applied mathematics & computing (01.06.2024)
    “… Then, based on the smooth approximation of the loss function, a smoothing composite proximal gradient (SCPG…”
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    Journal Article
  5. 5

    New inertial proximal gradient methods for unconstrained convex optimization problems by Duan, Peichao, Zhang, Yiqun, Bu, Qinxiong

    ISSN: 1029-242X, 1025-5834, 1029-242X
    Published: Cham Springer International Publishing 07.12.2020
    Published in Journal of inequalities and applications (07.12.2020)
    “… In this paper, firstly, we propose inexact inertial acceleration methods based on the viscosity approximation and proximal scaled gradient algorithm to accelerate the convergence of the algorithm…”
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    Journal Article
  6. 6

    A dual active-set proximal Newton algorithm for sparse approximation of correlation matrices by Liu, Xiao, Shen, Chungen, Wang, Li

    ISSN: 1055-6788, 1029-4937
    Published: Abingdon Taylor & Francis 03.09.2022
    Published in Optimization methods & software (03.09.2022)
    “…In this paper, we propose a novel dual active-set algorithm that is based on proximal gradient and semi-smooth Newton iterations for the sparse approximation of correlation matrices in the Frobenius norm…”
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    Journal Article
  7. 7

    Automatic motion capture data denoising via filtered subspace clustering and low rank matrix approximation by Liu, Xin, Cheung, Yiu-ming, Peng, Shu-Juan, Cui, Zhen, Zhong, Bineng, Du, Ji-Xiang

    ISSN: 0165-1684, 1872-7557
    Published: Amsterdam Elsevier B.V 01.12.2014
    Published in Signal processing (01.12.2014)
    “… piecewise motion always share the similar low dimensional subspace representation. Then, we employ the accelerated proximal gradient (APG…”
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    Journal Article
  8. 8

    Decentralized Proximal Gradient Algorithms With Linear Convergence Rates by Alghunaim, Sulaiman A., Ryu, Ernest K., Yuan, Kun, Sayed, Ali H.

    ISSN: 0018-9286, 1558-2523
    Published: New York IEEE 01.06.2021
    Published in IEEE transactions on automatic control (01.06.2021)
    “…) for the class of algorithms that uses the gradients and the proximal mappings of the smooth and nonsmooth parts, respectively…”
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    Journal Article
  9. 9

    Convergence Rate Analysis of Viscosity Approximation based Gradient Algorithms by Jain, Prayas, Verma, Mridula, Shukla, K.K

    ISSN: 2161-4407
    Published: IEEE 01.07.2020
    “… In this paper, we present a viscosity-approximation-based proximal gradient algorithm and prove its linear convergence rate…”
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    Conference Proceeding
  10. 10

    Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems by Duan, Peichao, Zhang, Yiqun

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 03.10.2023
    Published in Optimization (03.10.2023)
    “…In this paper, we propose three kinds of inertial approximation methods based on the proximal gradient algorithm to accelerate the convergence of the algorithm for solving convex bilevel optimization problems…”
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    Journal Article
  11. 11

    Unmatched Preconditioning of the Proximal Gradient Algorithm by Savanier, Marion, Chouzenoux, Emilie, Pesquet, Jean-Christophe, Riddell, Cyril

    ISSN: 1070-9908, 1558-2361
    Published: New York IEEE 2022
    Published in IEEE signal processing letters (2022)
    “…This work addresses the resolution of penalized least-squares problems using the proximal gradient algorithm (PGA…”
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    Journal Article
  12. 12

    A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems by Liu, Tianxiang, Pong, Ting Kei, Takeda, Akiko

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019
    Published in Mathematical programming (01.07.2019)
    “…: the corresponding proximal mapping can be hard to compute so that standard first-order methods such as the proximal gradient algorithm cannot be applied efficiently…”
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    Journal Article
  13. 13

    A Fast Proximal Gradient Algorithm to Solve Electromagnetic Inverse Scattering Problems by Ma, Zhenchao, Xu, Kuiwen

    Published: IEEE 01.10.2019
    “…). In this paper, we propose three methods to solve it using the proximal gradient algorithm (PGA) based on the Born approximation…”
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    Conference Proceeding
  14. 14

    Improved Step-Size Schedules for Proximal Noisy Gradient Methods by Khirirat, Sarit, Wang, Xiaoyu, Magnusson, Sindri, Johansson, Mikael

    ISSN: 1053-587X, 1941-0476, 1941-0476
    Published: New York IEEE 2023
    “…Noisy gradient algorithms have emerged as one of the most popular algorithms for distributed optimization with massive data…”
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    Journal Article
  15. 15

    Decentralized Inexact Proximal Gradient Method With Network-Independent Stepsizes for Convex Composite Optimization by Guo, Luyao, Shi, Xinli, Cao, Jinde, Wang, Zihao

    ISSN: 1053-587X, 1941-0476
    Published: New York IEEE 01.01.2023
    Published in IEEE transactions on signal processing (01.01.2023)
    “…This paper proposes a novel CTA (Combine-Then-Adapt)-based decentralized algorithm for solving convex composite optimization problems over undirected and connected networks…”
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    Journal Article
  16. 16

    A smoothing proximal gradient algorithm with extrapolation for the relaxation of ℓ0 regularization problem by Zhang, Jie, Yang, Xinmin, Li, Gaoxi, Zhang, Ke

    ISSN: 0926-6003, 1573-2894
    Published: New York Springer US 01.04.2023
    “… (SIAM J Numer Anal 58:858–883, 2020) and propose a smoothing proximal gradient algorithm with extrapolation (SPGE…”
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    Journal Article
  17. 17

    Convergence of Stochastic Proximal Gradient Algorithm by Rosasco, Lorenzo, Villa, Silvia, Vũ, Bằng Công

    ISSN: 0095-4616, 1432-0606
    Published: New York Springer US 01.12.2020
    Published in Applied mathematics & optimization (01.12.2020)
    “…We study the extension of the proximal gradient algorithm where only a stochastic gradient estimate is available and a relaxation step is allowed…”
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    Journal Article
  18. 18

    A smoothing proximal gradient algorithm for matrix rank minimization problem by Yu, Quan, Zhang, Xinzhen

    ISSN: 0926-6003, 1573-2894
    Published: New York Springer US 01.03.2022
    “… Then the smoothing proximal gradient (SPG) algorithm is proposed to find a lifted stationary point of the continuous relaxation model. Moreover, it is shown that any accumulating point of the sequence generated by SPG algorithm is a lifted stationary point. At last, numerical examples show the efficiency of the SPG algorithm…”
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    Journal Article
  19. 19

    A Proximal–Based Algorithm for Piecewise Sparse Approximation with Application to Scattered Data Fitting by Zhong, Yijun, Li, Chongjun, Li, Zhong, Duan, Xiaojuan

    ISSN: 1641-876X, 2083-8492
    Published: Zielona Góra Sciendo 01.12.2022
    “… In this paper, we propose a piecewise sparse approximation model and a piecewise proximal gradient method (JPGA…”
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    Journal Article
  20. 20

    Training Compact DNNs with ℓ1/2 Regularization by Tang, Anda, Niu, Lingfeng, Miao, Jianyu, Zhang, Peng

    ISSN: 0031-3203, 1873-5142
    Published: Elsevier Ltd 01.04.2023
    Published in Pattern recognition (01.04.2023)
    “…•We give a closed-form, threshold solution to the proximal operator of ℓ1/2, and consequently design a stochastic proximal gradient algorithm to train the resulting model…”
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    Journal Article