Search Results - "FORWARD-backward algorithm"
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Backward–forward algorithms for structured monotone inclusions in Hilbert spaces
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 15.01.2018Published in Journal of mathematical analysis and applications (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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Scalable Bayesian Inference for Coupled Hidden Markov and Semi-Markov Models
ISSN: 1061-8600, 1537-2715Published: United States Taylor & Francis 02.04.2020Published in Journal of computational and graphical statistics (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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Fast convex optimization via inertial dynamics with Hessian driven damping
ISSN: 0022-0396, 1090-2732Published: Elsevier Inc 15.11.2016Published 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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Diagnosis and Prognosis of Degradation Process via Hidden Semi-Markov Model
ISSN: 1083-4435, 1941-014XPublished: IEEE 01.06.2018Published 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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Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces
ISSN: 1055-6788, 1029-4937Published: England Taylor & Francis 04.05.2019Published 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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Tseng methods with inertial for solving inclusion problems and application to image deblurring and image recovery problems
ISSN: 2577-7408, 2577-7408Published: Hoboken, USA John Wiley & Sons, Inc 01.05.2021Published 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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Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 15.03.2016Published in Journal of mathematical analysis and applications (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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A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization
ISSN: 1052-6234, 1095-7189Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014Published 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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Three-Dimensional Angle of Arrival Estimation in Dynamic Indoor Terahertz Channels Using a Forward–Backward Algorithm
ISSN: 0018-9545, 1939-9359Published: New York IEEE 01.05.2017Published 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
Tikhonov regularized iterative methods for nonlinear problems
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 03.12.2024Published 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
A modified forward‐backward splitting methods for the sum of two monotone operators with applications to breast cancer prediction
ISSN: 0170-4214, 1099-1476Published: Freiburg Wiley Subscription Services, Inc 15.01.2023Published in Mathematical methods in the applied sciences (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
Inertial viscosity forward-backward splitting algorithm for monotone inclusions and its application to image restoration problems
ISSN: 0020-7160, 1029-0265Published: Abingdon Taylor & Francis 01.02.2020Published in International journal of computer mathematics (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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On Inexact Relative-Error Hybrid Proximal Extragradient, Forward-Backward and Tseng’s Modified Forward-Backward Methods with Inertial Effects
ISSN: 1877-0533, 1877-0541Published: Dordrecht Springer Netherlands 01.06.2020Published 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
Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2023Published 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
Convergence of an inertial reflected–forward–backward splitting algorithm for solving monotone inclusion problems with application to image recovery
ISSN: 0377-0427Published: Elsevier B.V 01.05.2025Published in Journal of computational and applied mathematics (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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Proximal-gradient algorithms for fractional programming
ISSN: 0233-1934, 1029-4945, 1029-4945Published: Philadelphia Taylor & Francis 03.08.2017Published 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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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
ISSN: 0277-6715, 1097-0258, 1097-0258Published: England Wiley Subscription Services, Inc 10.07.2021Published 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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A splitting algorithm for dual monotone inclusions involving cocoercive operators
ISSN: 1019-7168, 1572-9044Published: Boston Springer US 01.04.2013Published 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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A Fast Image Restoration Algorithm Based on a Fixed Point and Optimization Method
ISSN: 2227-7390, 2227-7390Published: MDPI AG 01.03.2020Published 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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The generalized viscosity explicit rules for solving variational inclusion problems in Banach spaces
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 02.12.2021Published 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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