Search Results - Inertial proximal gradient algorithm

Refine Results
  1. 1

    A proximal-gradient inertial algorithm with Tikhonov regularization: strong convergence to the minimal norm solution by László, Szilárd Csaba

    ISSN: 1055-6788, 1029-4937
    Published: Taylor & Francis 04.07.2025
    Published in Optimization methods & software (04.07.2025)
    “…We investigate the strong convergence properties of a proximal-gradient inertial algorithm with two Tikhonov regularization terms in connection with the minimization problem of the sum of a convex…”
    Get full text
    Journal Article
  2. 2

    Superiorization methodology and perturbation resilience of inertial proximal gradient algorithm with application to signal recovery by Pakkaranang, Nuttapol, Kumam, Poom, Berinde, Vasile, Suleiman, Yusuf I.

    ISSN: 0920-8542, 1573-0484
    Published: New York Springer US 01.12.2020
    Published in The Journal of supercomputing (01.12.2020)
    “… By using inertial technique, we propose a modified proximal gradient algorithm with outer perturbations, and under standard mild conditions, we obtain strong convergence results for finding…”
    Get full text
    Journal Article
  3. 3

    Double Inertial Proximal Gradient Algorithms for Convex Optimization Problems and Applications by Kankam, Kunrada, Cholamjiak, Prasit

    ISSN: 0252-9602, 1572-9087
    Published: Singapore Springer Nature Singapore 01.05.2023
    Published in Acta mathematica scientia (01.05.2023)
    “…In this paper, we propose double inertial forward-backward algorithms for solving unconstrained minimization problems and projected double inertial forward-backward algorithms for solving constrained…”
    Get full text
    Journal Article
  4. 4

    An innovative inertial extra-proximal gradient algorithm for solving convex optimization problems with application to image and signal processing by Olilima, Joshua, Mogbademu, Adesanmi, Memon, M. Asif, Obalalu, Adebowale Martins, Akewe, Hudson, Seidu, Jamel

    ISSN: 2405-8440, 2405-8440
    Published: Elsevier Ltd 01.10.2023
    Published in Heliyon (01.10.2023)
    “… The research aims to develop a self-adaptive extra proximal algorithm that incorporates an inertial term to effectively tackle challenges in convex optimization…”
    Get full text
    Journal Article
  5. 5

    Smoothing fast proximal gradient algorithm for the relaxation of matrix rank regularization problem by Zhang, Jie, Yang, Xinmin

    ISSN: 0168-9274, 1873-5460
    Published: Elsevier B.V 01.08.2023
    Published in Applied numerical mathematics (01.08.2023)
    “…This paper proposes a general inertial smoothing proximal gradient algorithm for solving the Capped…”
    Get full text
    Journal Article
  6. 6

    A Forward–Backward Algorithm With Different Inertial Terms for Structured Non-Convex Minimization Problems by László, Szilárd Csaba

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 01.07.2023
    “…We investigate an inertial forward–backward algorithm in connection with the minimization of the sum of a non-smooth and possibly non-convex and a non-convex differentiable function…”
    Get full text
    Journal Article
  7. 7

    Faster Than Fast: Accelerating the Griffin-Lim Algorithm by Nenov, Rossen, Nguyen, Dang-Khoa, Balazs, Peter

    ISSN: 2379-190X
    Published: IEEE 04.06.2023
    “… In this paper, we present an accelerated version of the well known Fast Griffin-Lim algorithm (FGLA…”
    Get full text
    Conference Proceeding
  8. 8

    A recent proximal gradient algorithm for convex minimization problem using double inertial extrapolations by Kesornprom, Suparat, Inkrong, Papatsara, Witthayarat, Uamporn, Cholamjiak, Prasit

    ISSN: 2473-6988, 2473-6988
    Published: AIMS Press 01.01.2024
    Published in AIMS mathematics (01.01.2024)
    “… Additionally, we apply double inertial extrapolations to enhance the algorithm's convergence rate…”
    Get full text
    Journal Article
  9. 9

    An alternating structure-adapted Bregman proximal gradient descent algorithm for constrained nonconvex nonsmooth optimization problems and its inertial variant by Gao, Xue, Cai, Xingju, Wang, Xiangfeng, Han, Deren

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.09.2023
    Published in Journal of global optimization (01.09.2023)
    “…) gradient descent algorithm, where the geometry of the abstract set and the function is captured by employing generalized Bregman function…”
    Get full text
    Journal Article
  10. 10

    A proximal-gradient inertial algorithm with Tikhonov regularization: strong convergence to the minimal norm solution by Szilárd, Csaba László

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 14.07.2024
    Published in arXiv.org (14.07.2024)
    “…We investigate the strong convergence properties of a proximal-gradient inertial algorithm with two Tikhonov regularization terms in connection to the minimization problem of the sum of a convex lower…”
    Get full text
    Paper
  11. 11

    Inertial Bregman proximal gradient under partial smoothness by Godeme, Jean-Jacques

    ISSN: 1017-1398, 1572-9265
    Published: 26.07.2025
    Published in Numerical algorithms (26.07.2025)
    Get full text
    Journal Article
  12. 12

    General inertial smoothing proximal gradient algorithm for the relaxation of matrix rank minimization problem by Zhang, Jie, Yang, Xinmin

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 15.04.2022
    Published in arXiv.org (15.04.2022)
    “…). Motivated by the inertial techinique, we propose a general inertial smoothing proximal gradient algorithm(GIMSPG…”
    Get full text
    Paper
  13. 13

    A nonmonotone accelerated proximal gradient method with variable stepsize strategy for nonsmooth and nonconvex minimization problems by Liu, Hongwei, Wang, Ting, Liu, Zexian

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.08.2024
    Published in Journal of global optimization (01.08.2024)
    “… Note that incorporating inertial term into proximal gradient method is a simple and efficient acceleration technique, while the descent property of the proximal gradient algorithm will lost…”
    Get full text
    Journal Article
  14. 14

    Inertial Bregman Proximal Gradient Algorithm For Nonconvex Problem with Smooth Adaptable Property by Zhang, Xiaoya, Zhang, Hui, Peng, Wei

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 09.04.2019
    Published in arXiv.org (09.04.2019)
    “… We analyze an inertial version of the Bregman Proximal Gradient (BPG) algorithm and prove its stationary convergence…”
    Get full text
    Paper
  15. 15

    Convex-Concave Backtracking for Inertial Bregman Proximal Gradient Algorithms in Non-Convex Optimization by Mukkamala, Mahesh Chandra, Ochs, Peter, Pock, Thomas, Shoham Sabach

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 05.11.2019
    Published in arXiv.org (05.11.2019)
    “… In case of inertial proximal gradient algorithms, the situation becomes much more difficult and usually leads to very restrictive rules on the extrapolation parameter…”
    Get full text
    Paper
  16. 16

    Beyond Alternating Updates for Matrix Factorization with Inertial Bregman Proximal Gradient Algorithms by Mukkamala, Mahesh Chandra, Ochs, Peter

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 06.12.2019
    Published in arXiv.org (06.12.2019)
    “… A remedy is non-alternating schemes. However, due to a lack of Lipschitz continuity of the gradient in matrix factorization problems, convergence cannot be guaranteed…”
    Get full text
    Paper
  17. 17

    Two-step inertial Bregman alternating structure-adapted proximal gradient descent algorithm for nonconvex and nonsmooth problems by Guo, Chenzheng, Zhao, Jing

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 07.06.2023
    Published in arXiv.org (07.06.2023)
    “… Based on primal-dual method, we construct several iterative algorithms in a way that combines inertial technology and the self-adaptive stepsize such that the implementation of the algorithms doesn't…”
    Get full text
    Paper
  18. 18

    An Inertial Proximal-Gradient Penalization Scheme for Constrained Convex Optimization Problems by Boţ, Radu Ioan, Csetnek, Ernö Robert, Nimana, Nimit

    ISSN: 2305-221X, 2305-2228, 2305-2228
    Published: Singapore Springer Singapore 01.03.2018
    Published in Vietnam journal of mathematics (01.03.2018)
    “…We propose a proximal-gradient algorithm with penalization terms and inertial and memory effects for minimizing the sum of a proper, convex, and lower semicontinuous and a convex differentiable…”
    Get full text
    Journal Article
  19. 19

    Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods by Li, Guoyin, Pong, Ting Kei

    ISSN: 1615-3375, 1615-3383
    Published: New York Springer US 01.10.2018
    Published in Foundations of computational mathematics (01.10.2018)
    “…In this paper, we study the Kurdyka–Łojasiewicz (KL) exponent, an important quantity for analyzing the convergence rate of first-order methods. Specifically,…”
    Get full text
    Journal Article
  20. 20

    Inertial self-adaptive algorithms for solving non-smooth convex optimization problems by Chen, Xin, Duan, Peichao

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.01.2025
    Published in Numerical algorithms (01.01.2025)
    “… Firstly, we propose a self-adaptive proximal gradient algorithm with an inertial step. Under reasonable parameters, the strong convergence theorem is established…”
    Get full text
    Journal Article