Search Results - preconditioning forward-backward splitting algorithm

Preconditioning in the fast dual forward-backward splitting algorithm

Authors: Liangwu Li Lizhi Cheng

Source: 2015 8th International Congress on Image and Signal Processing (CISP). :1599-1603

Subject Terms: 0209 industrial biotechnology, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Access URL: https://ieeexplore.ieee.org/document/7408140/

A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problems.

Authors: Altiparmak, Ebru Karahan, Ibrahim

Source: International Journal of Computer Mathematics. Dec2022, Vol. 99 Issue 12, p2482-2498. 17p.

Subject Terms: Image reconstruction, Monotone operators, Forward-backward algorithm, Operator theory, Linear operators, Hilbert space

Preconditioning of a Generalized Forward-Backward Splitting and Application to Optimization on Graphs

Authors: Raguet, Hugo Landrieu, Loic

Contributors: Raguet, Hugo Landrieu, Loic

Source: SIAM Journal on Imaging Sciences. 8:2706-2739

Subject Terms: graph learning, forward-backward splitting, proximal splitting, 0211 other engineering and technologies, graph sparsity, geoinformatics, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], 02 engineering and technology, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], 47N10, 90C25, 94A08, 62H11, 91D20, 3. Good health, quasi-Newton methods, total variation, preconditioning, Optimization and Control (math.OC), Mumford-Shah functional, FOS: Mathematics, nonsmooth convex optimization, monotone operator splitting, Mathematics - Optimization and Control

File Description: application/pdf

Access URL: http://arxiv.org/pdf/1504.07699
http://arxiv.org/abs/1504.07699
https://hal.science/hal-01144566v3/document
https://doi.org/10.1137/15m1018253
https://hal.science/hal-01144566v3

An accelerated forward-backward-half forward splitting algorithm for monotone inclusion with applications to image restoration.

Authors: Chunxiang Zong Yuchao Tang Guofeng Zhang

Source: Optimization; Feb2024, Vol. 73 Issue 2, p401-428, 28p

Subject Terms: IMAGE reconstruction, OPTIMIZATION algorithms, RESOLVENTS (Mathematics), ALGORITHMS, MONOTONE operators

Preconditioning in the fast dual forward-backward splitting algorithm.

Authors: Li, Liangwu Cheng, Lizhi

Source: 2015 8th International Congress on Image & Signal Processing (CISP); 1/1/2015, p1599-1603, 5p

Two-Metric Variable Scaled Splitting Algorithm for Nonsmooth Nonconvex Sparsity-penalized Quantile Regression.

Authors: Yang, Fan Wang, Shangfei Shen, Zhengwei et al.

Source: Statistics & Computing; Dec2025, Vol. 35 Issue 6, p1-25, 25p

A Nonlinearly Preconditioned Forward-Backward Splitting Method and Applications.

Authors: Vũ, Bă'ng Công Papadimitriou, Dimitri

Source: Numerical Functional Analysis & Optimization. 2021, Vol. 42 Issue 16, p1880-1895. 16p.

Subject Terms: *FORWARD-backward algorithm, *MONOTONE operators

A damped forward-backward algorithm for stochastic generalized Nash equilibrium seeking

Authors: Franci, Barbara Grammatico, Sergio

Index Terms: Mathematics - Optimization and Control, Computer Science - Computer Science and Game Theory, Electrical Engineering and Systems Science - Systems and Control, text

URL: http://arxiv.org/abs/1910.11776

ON QUASI-NEWTON FORWARD-BACKWARD SPLITTING: PROXIMAL CALCULUS AND CONVERGENCE.

Authors: BECKER, STEPHEN FADILI, JALAL OCHS, PETER

Source: SIAM Journal on Optimization; 2019, Vol. 29 Issue 4, p2445-2481, 37p

Subject Terms: CALCULUS, ALGORITHMS, QUASI-Newton methods, FORWARD-backward algorithm, SIGNAL processing, MACHINE learning, INTERIOR-point methods

A stochastic inertial forward–backward splitting algorithm for multivariate monotone inclusions.

Authors: Rosasco, Lorenzo Villa, Silvia Vũ, Băng Công

Source: Optimization; Jun2016, Vol. 65 Issue 6, p1293-1314, 22p

Subject Terms: FORWARD-backward algorithm, MONOTONE operators, ERROR analysis in mathematics, STOCHASTIC analysis, MULTIVARIATE analysis, STOCHASTIC convergence

An Inertial Semi-forward-reflected-backward Splitting and Its Application.

Authors: Zong, Chun Xiang Tang, Yu Chao Zhang, Guo Feng

Source: Acta Mathematica Sinica; Feb2022, Vol. 38 Issue 2, p443-464, 22p

Subject Terms: MATHEMATICAL optimization, MONOTONE operators, PARALLEL algorithms, ALGORITHMS

A Variable Metric Extension of the Forward–Backward–Forward Algorithm for Monotone Operators.

Authors: Vũ, BằngCông

Source: Numerical Functional Analysis & Optimization; Sep2013, Vol. 34 Issue 9, p1050-1065, 16p

Subject Terms: MATHEMATICAL variables, FORWARD-backward algorithm, MONOTONE operators, OPERATOR theory, HILBERT space, DUALITY theory (Mathematics), PROBLEM solving

A splitting algorithm for constrained optimization problems with parabolic equations.

Authors: Song, Haiming Zhang, Jiachuan Hao, Yongle

Source: Computational & Applied Mathematics; Jul2023, Vol. 42 Issue 5, p1-24, 24p

Subject Terms: DECOMPOSITION method, MATHEMATICAL optimization, EQUATIONS, PARALLEL algorithms, CONSTRAINED optimization

Metric selection in fast dual forward–backward splitting.

Authors: Giselsson, Pontus Boyd, Stephen

Source: Automatica. Dec2015, Vol. 62, p1-10. 10p.

Subject Terms: *COMPUTATIONAL complexity, *MATHEMATICAL optimization, *DATA analysis, *PREDICTIVE control systems, *EUCLIDEAN distance

Variable metric forward–backward splitting with applications to monotone inclusions in duality.

Authors: Combettes, Patrick L. Vũ, Băng C.

Source: Optimization; Sep2014, Vol. 63 Issue 9, p1289-1318, 30p

Subject Terms: MONOTONE operators, ALGORITHMS, HILBERT space, STOCHASTIC convergence, DUALITY theory (Mathematics), OPERATOR theory

Quasi-Newton Methods for Monotone Inclusions: Efficient Resolvent Calculus and Primal-Dual Algorithms.

Authors: Shida Wang Fadili, Jalal Ochs, Peter

Source: SIAM Journal on Imaging Sciences; 2025, Vol. 18 Issue 1, p308-344, 37p

Asymmetric forward-backward-adjoint splitting for solving monotone inclusions involving three operators.

Authors: Latafat, Puya Patrinos, Panagiotis

Source: Computational Optimization & Applications. Sep2017, Vol. 68 Issue 1, p57-93. 37p.

Subject Terms: CONVEX functions, MONOTONE operators, LINEAR operators, LIPSCHITZ spaces, MATHEMATICAL inequalities

An Inertial Forward-Backward Algorithm for Monotone Inclusions.

Authors: Lorenz, Dirk Pock, Thomas

Source: Journal of Mathematical Imaging & Vision; Feb2015, Vol. 51 Issue 2, p311-325, 15p

Convergence of an Inertial Shadow Douglas-Rachford Splitting Algorithm for Monotone Inclusions.

Authors: Fan, Jingjing Qin, Xiaolong Tan, Bing

Source: Numerical Functional Analysis & Optimization; 2021, Vol. 42 Issue 14, p1627-1644, 18p

Subject Terms: MONOTONE operators, HILBERT space, ALGORITHMS

Preconditioned Three-Operator Splitting Algorithm with Applications to Image Restoration.

Authors: Tang, Yuchao Wen, Meng Zeng, Tieyong

Source: Journal of Scientific Computing; Sep2022, Vol. 92 Issue 3, p1-26, 26p