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

    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
  4. 4

    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
  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

    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
  7. 7

    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
  8. 8

    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
  9. 9

    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
  10. 10

    Accelerated and Inexact Forward-Backward Algorithms by Villa, Silvia, Salzo, Saverio, Baldassarre, Luca, Verri, Alessandro

    ISSN: 1052-6234, 1095-7189
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
    Published in SIAM journal on optimization (01.01.2013)
    “… Our analysis is based on the machinery of estimate sequences first introduced by Nesterov for the study of accelerated gradient descent algorithms…”
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    Journal Article
  11. 11

    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
  12. 12

    On the complexity of a quadratic regularization algorithm for minimizing nonsmooth and nonconvex functions by Amaral, V. S., Lopes, J. O., Santos, P. S. M., Silva, G. N.

    ISSN: 1055-6788, 1029-4937
    Published: Taylor & Francis 02.01.2025
    Published in Optimization methods & software (02.01.2025)
    “… To address this issue, we propose an algorithm based on a proximal gradient method that uses a quadratic approximation of the function $ g_2…”
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    Journal Article
  13. 13

    Cardinality objective nonlinear programs for facility capacity expansion by Li, Gao-Xi, Yang, Xin-Min

    ISSN: 0926-6003, 1573-2894
    Published: New York Springer Nature B.V 01.09.2025
    “…(d)-stationary point of the continuous approximation. The proposed algorithm is a novel combination of the classical augmented Lagrangian method and proximal gradient…”
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    Journal Article
  14. 14

    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
  15. 15

    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
  16. 16

    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
  17. 17

    Stochastic Proximal Gradient Algorithms for Penalized Mixed Models by t, Gersende, Ollier, Edouard, Samson, Adeline

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 27.09.2017
    Published in arXiv.org (27.09.2017)
    “… 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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    Paper
  18. 18

    Resource Allocation for User-Centric Cell-Free Massive MIMO Downlink by Wang, Xuan, Liu, Yi, Li, Cong

    ISSN: 1530-437X, 1558-1748
    Published: New York IEEE 01.01.2025
    Published in IEEE sensors journal (01.01.2025)
    “… In this article, we propose a resource allocation scheme that incorporates the effective algorithms for AP selection, pilot assignment, and power allocation, to improve the performance of user…”
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    Journal Article
  19. 19

    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
  20. 20

    ℓp-norm multiple kernel learning with low-rank kernels by Rakotomamonjy, Alain, Chanda, Sukalpa

    ISSN: 0925-2312
    Published: Amsterdam Elsevier 02.11.2014
    Published in Neurocomputing (Amsterdam) (02.11.2014)
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    Journal Article