Search Results - "FORWARD-backward algorithm"

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  1. 1

    Backward–forward algorithms for structured monotone inclusions in Hilbert spaces by Attouch, Hédy, Peypouquet, Juan, Redont, Patrick

    ISSN: 0022-247X, 1096-0813
    Published: Elsevier Inc 15.01.2018
    “…In this paper, we study the backward–forward algorithm as a splitting method to solve structured monotone inclusions, and convex minimization problems in…”
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    Journal Article
  2. 2

    Scalable Bayesian Inference for Coupled Hidden Markov and Semi-Markov Models by Touloupou, Panayiota, Finkenstädt, Bärbel, Spencer, Simon E. F.

    ISSN: 1061-8600, 1537-2715
    Published: United States Taylor & Francis 02.04.2020
    “…Bayesian inference for coupled hidden Markov models frequently relies on data augmentation techniques for imputation of the hidden state processes…”
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  3. 3

    Fast convex optimization via inertial dynamics with Hessian driven damping by Attouch, Hedy, Peypouquet, Juan, Redont, Patrick

    ISSN: 0022-0396, 1090-2732
    Published: Elsevier Inc 15.11.2016
    Published in Journal of Differential Equations (15.11.2016)
    “…We first study the fast minimization properties of the trajectories of the second-order evolution equationx¨(t)+αtx˙(t)+β∇2Φ(x(t))x˙(t)+∇Φ(x(t))=0, where Φ:H→R…”
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  4. 4

    Diagnosis and Prognosis of Degradation Process via Hidden Semi-Markov Model by Liu, Tongshun, Zhu, Kunpeng, Zeng, Liangcai

    ISSN: 1083-4435, 1941-014X
    Published: IEEE 01.06.2018
    Published in IEEE/ASME transactions on mechatronics (01.06.2018)
    “…The intelligent estimation of degradation state and the prediction of remaining useful life (RUL) are important for the maintenance of industrial equipment. In…”
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  5. 5

    Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces by Boţ, Radu Ioan, Csetnek, Ernö Robert, Meier, Dennis

    ISSN: 1055-6788, 1029-4937
    Published: England Taylor & Francis 04.05.2019
    Published in Optimization methods & software (04.05.2019)
    “…Proximal splitting algorithms for monotone inclusions (and convex optimization problems) in Hilbert spaces share the common feature to guarantee for the…”
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  6. 6

    Tseng methods with inertial for solving inclusion problems and application to image deblurring and image recovery problems by Padcharoen, Anantachai, Kitkuan, Duangkamon, Kumam, Wiyada, Kumam, Poom

    ISSN: 2577-7408, 2577-7408
    Published: Hoboken, USA John Wiley & Sons, Inc 01.05.2021
    Published in Computational and mathematical methods (01.05.2021)
    “…In this article, we offer two modifications of the modified forward‐backward splitting method based on inertial Tseng method and viscosity method for inclusion…”
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  7. 7

    Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems by Boţ, Radu Ioan, Csetnek, Ernö Robert

    ISSN: 0022-247X, 1096-0813
    Published: Elsevier Inc 15.03.2016
    “…We investigate the existence and uniqueness of (locally) absolutely continuous trajectories of a penalty term-based dynamical system associated to a…”
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  8. 8

    A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization by Attouch, Hédy, Peypouquet, Juan, Redont, Patrick

    ISSN: 1052-6234, 1095-7189
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014
    Published in SIAM journal on optimization (01.01.2014)
    “…We introduce a new class of forward-backward algorithms for structured convex minimization problems in Hilbert spaces. Our approach relies on the time…”
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  9. 9

    Three-Dimensional Angle of Arrival Estimation in Dynamic Indoor Terahertz Channels Using a Forward–Backward Algorithm by Peng, Bile, Kurner, Thomas

    ISSN: 0018-9545, 1939-9359
    Published: New York IEEE 01.05.2017
    Published in IEEE transactions on vehicular technology (01.05.2017)
    “…A novel angle-of-arrival (AoA) estimation method for both azimuth and elevation based on Bayesian inference and statistical state transition probabilities is…”
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  10. 10

    Tikhonov regularized iterative methods for nonlinear problems by Dixit, Avinash, Sahu, D. R., Gautam, Pankaj, Som, T.

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 03.12.2024
    Published in Optimization (03.12.2024)
    “…We consider the monotone inclusion problems in real Hilbert spaces. Proximal splitting algorithms are very popular technique to solve it and generally achieve…”
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  11. 11

    A modified forward‐backward splitting methods for the sum of two monotone operators with applications to breast cancer prediction by Peeyada, Pronpat, Dutta, Hemen, Shiangjen, Kanokwatt, Cholamjiak, Watcharaporn

    ISSN: 0170-4214, 1099-1476
    Published: Freiburg Wiley Subscription Services, Inc 15.01.2023
    “…This work proposes a modified forward‐backward splitting algorithm combining an inertial technique for solving the monotone variational inclusion problem. The…”
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  12. 12

    Inertial viscosity forward-backward splitting algorithm for monotone inclusions and its application to image restoration problems by Kitkuan, Duangkamon, Kumam, Poom, Martínez-Moreno, Juan, Sitthithakerngkiet, Kanokwan

    ISSN: 0020-7160, 1029-0265
    Published: Abingdon Taylor & Francis 01.02.2020
    “…In this research, we are interested about the monotone inclusion problems in the scope of the real Hilbert spaces by using an inertial forward-backward…”
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  13. 13

    On Inexact Relative-Error Hybrid Proximal Extragradient, Forward-Backward and Tseng’s Modified Forward-Backward Methods with Inertial Effects by Alves, M. Marques, Marcavillaca, Raul T.

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.06.2020
    Published in Set-valued and variational analysis (01.06.2020)
    “…For solving monotone inclusion problems, we propose an inertial under-relaxed version of the relative-error hybrid proximal extragradient method. We study the…”
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  14. 14

    Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry by Garrigos, Guillaume, Rosasco, Lorenzo, Villa, Silvia

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2023
    Published in Mathematical programming (01.03.2023)
    “…We provide a comprehensive study of the convergence of the forward-backward algorithm under suitable geometric conditions, such as conditioning or Łojasiewicz…”
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  15. 15

    Convergence of an inertial reflected–forward–backward splitting algorithm for solving monotone inclusion problems with application to image recovery by Izuchukwu, Chinedu, Reich, Simeon, Shehu, Yekini

    ISSN: 0377-0427
    Published: Elsevier B.V 01.05.2025
    “…We first propose a reflected–forward–backward splitting algorithm with two inertial effects for solving monotone inclusions and then establish that the…”
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  16. 16

    Proximal-gradient algorithms for fractional programming by Boţ, Radu Ioan, Csetnek, Ernö Robert

    ISSN: 0233-1934, 1029-4945, 1029-4945
    Published: Philadelphia Taylor & Francis 03.08.2017
    Published in Optimization (03.08.2017)
    “…In this paper, we propose two proximal-gradient algorithms for fractional programming problems in real Hilbert spaces, where the numerator is a proper, convex…”
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  17. 17

    Hidden mover‐stayer model for disease progression accounting for misclassified and partially observed diagnostic tests: Application to the natural history of human papillomavirus and cervical precancer by Aron, Jordan, Albert, Paul S., Wentzensen, Nicolas, Cheung, Li C.

    ISSN: 0277-6715, 1097-0258, 1097-0258
    Published: England Wiley Subscription Services, Inc 10.07.2021
    Published in Statistics in medicine (10.07.2021)
    “…Hidden Markov models (HMMs) have been proposed to model the natural history of diseases while accounting for misclassification in state identification. We…”
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  18. 18

    A splitting algorithm for dual monotone inclusions involving cocoercive operators by Vu, Bang Cong

    ISSN: 1019-7168, 1572-9044
    Published: Boston Springer US 01.04.2013
    Published in Advances in computational mathematics (01.04.2013)
    “…We consider the problem of solving dual monotone inclusions involving sums of composite parallel-sum type operators. A feature of this work is to exploit…”
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  19. 19

    A Fast Image Restoration Algorithm Based on a Fixed Point and Optimization Method by Hanjing, Adisak, Suantai, Suthep

    ISSN: 2227-7390, 2227-7390
    Published: MDPI AG 01.03.2020
    Published in Mathematics (Basel) (01.03.2020)
    “…In this paper, a new accelerated fixed point algorithm for solving a common fixed point of a family of nonexpansive operators is introduced and studied, and…”
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  20. 20

    The generalized viscosity explicit rules for solving variational inclusion problems in Banach spaces by Cholamjiak, Prasit, Pholasa, Nattawut, Suantai, Suthep, Sunthrayuth, Pongsakorn

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 02.12.2021
    Published in Optimization (02.12.2021)
    “…In this paper, we propose a generalized viscosity explicit method for finding zeros of the sum of two accretive operators in the framework of Banach spaces…”
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