Suchergebnisse - Inertial proximal gradient algorithm

  1. 1

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

    ISSN: 1055-6788, 1029-4937
    Veröffentlicht: Taylor & Francis 04.07.2025
    Veröffentlicht 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 …”
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    Journal Article
  2. 2

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

    ISSN: 0920-8542, 1573-0484
    Veröffentlicht: New York Springer US 01.12.2020
    Veröffentlicht 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 …”
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    Journal Article
  3. 3

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

    ISSN: 0252-9602, 1572-9087
    Veröffentlicht: Singapore Springer Nature Singapore 01.05.2023
    Veröffentlicht 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 …”
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    Journal Article
  4. 4

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

    ISSN: 2405-8440, 2405-8440
    Veröffentlicht: Elsevier Ltd 01.10.2023
    Veröffentlicht 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 …”
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    Journal Article
  5. 5

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

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

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

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.07.2023
    Veröffentlicht in Journal of optimization theory and applications (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 …”
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    Journal Article
  7. 7

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

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

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

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

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

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: New York Springer US 01.09.2023
    Veröffentlicht 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 …”
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    Journal Article
  10. 10

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

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 14.07.2024
    Veröffentlicht 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 …”
    Volltext
    Paper
  11. 11

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

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: 26.07.2025
    Veröffentlicht in Numerical algorithms (26.07.2025)
    Volltext
    Journal Article
  12. 12

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

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

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

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: New York Springer US 01.08.2024
    Veröffentlicht 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 …”
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    Journal Article
  14. 14

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

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

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

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 05.11.2019
    Veröffentlicht 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 …”
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    Paper
  16. 16

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

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 06.12.2019
    Veröffentlicht 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 …”
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    Paper
  17. 17

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

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 07.06.2023
    Veröffentlicht 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 …”
    Volltext
    Paper
  18. 18

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

    ISSN: 2305-221X, 2305-2228, 2305-2228
    Veröffentlicht: Singapore Springer Singapore 01.03.2018
    Veröffentlicht 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 …”
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    Journal Article
  19. 19

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

    ISSN: 1615-3375, 1615-3383
    Veröffentlicht: New York Springer US 01.10.2018
    Veröffentlicht 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, …”
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    Journal Article
  20. 20

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

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.01.2025
    Veröffentlicht 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 …”
    Volltext
    Journal Article