Search Results - "forward-backward algorithm"

A Fast Forward-Backward Algorithm Using Linesearch and Inertial Techniques for Convex Bi-level Optimization Problems with Applications

Authors: Suantai, Suthep Thongsri, Piti

Source: Carpathian Journal of Mathematics, 2024 Jan 01. 40(3), 769-788.

Access URL: https://www.jstor.org/stable/27320275

Two inertial projective Mann forward-backward algorithm for variational inclusion problems and application to stroke prediction

Authors: Peeyada, Pronpat Kitisak, Ponkamon Cholamjiak, Watcharaporn et al.

Source: Carpathian Journal of Mathematics, 2024 Jan 01. 40(2), 381-398.

Access URL: https://www.jstor.org/stable/27320248

A New Accelerated Viscosity Forward-backward Algorithm with a Linesearch for Some Convex Minimization Problems and its Applications to Data Classification

Authors: Chumpungam, Dawan Sarnmeta, Panitarn Suantai, Suthep

Source: Carpathian Journal of Mathematics, 2023 Jan 01. 39(1), 125-138.

Access URL: https://www.jstor.org/stable/27178479

Inertial S-Iteration Forward-Backward Algorithm for a Family of Nonexpansive Operators with Applications to Image Restoration Problems

Authors: Bussaban, Limpapat Kaewkhao, Attapol Suantai, Suthep

Source: Filomat, 2021 Jan 01. 35(3), 771-782.

Access URL: https://www.jstor.org/stable/27386064

Stability Bounds for the Unfolded Forward–Backward Algorithm

Authors: Chouzenoux, Emilie Della Valle, Cecile Pesquet, Jean-Christophe

Contributors: Chouzenoux, Emilie Della Valle, Cecile Pesquet, Jean-Christophe

Source: Journal of Mathematical Imaging and Vision. 67

Subject Terms: [INFO.INFO-AI] Computer Science [cs]/Artificial Intelligence [cs.AI], FOS: Computer and information sciences, Artificial Intelligence (cs.AI), deep unrolling, inverse problems, Artificial Intelligence, Optimization and Control (math.OC), Optimization and Control, FOS: Mathematics, Stability analysis, forward-backward, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], neural networks

File Description: application/pdf

Access URL: http://arxiv.org/abs/2412.17888

A fast viscosity forward-backward algorithm for convex minimization problems with an application in image recovery

Authors: Jailoka, Pachara Suantai, Suthep Hanjing, Adisak

Source: Carpathian Journal of Mathematics, 2021 Jan 01. 37(3), 449-461.

Access URL: https://www.jstor.org/stable/27082238

Convergence of an asynchronous block-coordinate forward-backward algorithm for convex composite optimization

Authors: Cheik Traoré Saverio Salzo Silvia Villa

Source: Computational Optimization and Applications

Subject Terms: Large-scale problems in mathematical programming, Decomposition methods, FOS: Computer and information sciences, Convex programming, convex optimization, forward-backward algorithm, 0211 other engineering and technologies, error bounds, 02 engineering and technology, asynchronous algorithms, stochastic quasi-Fejér sequences, Numerical mathematical programming methods, Computer Science - Distributed, Parallel, and Cluster Computing, Optimization and Control (math.OC), convergence rates, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, randomized block-coordinate descent, Distributed, Parallel, and Cluster Computing (cs.DC), parallel optimization, rate of convergence, Convex optimization, Asynchronous algorithms, Randomized block-coordinate descent, Error bounds, Stochastic quasi-Fejer sequences, Forward-backward algorithm, Convergence rates, Mathematics - Optimization and Control

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2201.05498

A parallel inertial S-iteration forward-backward algorithm for regression and classification problems

Authors: Bussaban, Limpapat Suantai, Suthep Kaewkhao, Attapol

Source: Carpathian Journal of Mathematics, 2020 Jan 01. 36(1), 35-44.

Access URL: https://www.jstor.org/stable/26898780

Scaled forward-backward algorithm and the modified superiorized version for solving the split monotone variational inclusion problem

Authors: MINGXIA ZHENG YANNI GUO

Source: Optimization Eruditorum. 1:56-74

A Fast Forward-Backward Algorithm Using Linesearch and Inertial Techniques for Convex Bi-level Optimization Problems with Applications

Authors: SUTHEP SUANTAI PITI THONGSRI

Source: Carpathian Journal of Mathematics. 40:769-788

Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry

Authors: Garrigos G. Rosasco L. Villa S. et al.

Contributors: Garrigos G. Rosasco L. Villa S. et al.

Source: Mathematical Programming. 198:937-996

Subject Terms: Inverse problems, Source condition, FOS: Computer and information sciences, Forward Backward algorithm, 0211 other engineering and technologies, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Machine Learning (stat.ML), Convergence rates, 02 engineering and technology, Conditioned functions, Łojasiewicz property, 01 natural sciences, Statistics - Machine Learning, Optimization and Control (math.OC), FOS: Mathematics, 0101 mathematics, Mathematics - Optimization and Control

File Description: application/pdf

Access URL: http://arxiv.org/abs/1703.09477
https://hal.science/hal-03886199v1
https://doi.org/10.1007/s10107-022-01809-4
https://hal.science/hal-03886199v1/document
https://hdl.handle.net/11567/1092054
https://doi.org/10.1007/s10107-022-01809-4

A modified inertial projected forward–backward algorithm for convex optimization problems

Authors: Kunrada Kankam Papatsara Inkrong Prasit Cholamjiak

Source: Rendiconti del Circolo Matematico di Palermo Series 2. 74

Relaxed and inertial nonlinear Forward-Backward algorithm

Authors: Maulén, Juan José Roldán, Fernando Vega, Cristian

Subject Terms: Optimization and Control (math.OC), Optimization and Control, 47H05, 65K05, 65K15, 90C25, FOS: Mathematics

Access URL: http://arxiv.org/abs/2507.18856

Four-Operator Reflected Forward-Backward Algorithm For Solving Monotone Inclusions Involving Lipschitzan Operators

Authors: Yu Cao Yuanheng Wang Habib ur Rehman et al.

Splitting the Forward-Backward Algorithm: A Full Characterization

Authors: Åkerman, Anton Chenchene, Enis Giselsson, Pontus et al.

Subject Terms: Optimization and Control (math.OC), FOS: Mathematics, 47N10, 47H05, 47H09, 65K10, 90C25, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2504.10999

Two inertial projective Mann forward-backward algorithm for variational inclusion problems and application to stroke prediction

Authors: PRONPAT PEEYADA PONKAMON KITISAK WATCHARAPORN CHOLAMJIAK et al.

Source: Carpathian Journal of Mathematics. 40:381-398

Modified forward-backward algorithm for stochastic mixed variational inequality problems

Authors: Jiali He Zhaoli Ma Jiazheng Bao

Source: Applied Mathematical Sciences. 18:157-176

Parallel random block-coordinate forward–backward algorithm: a unified convergence analysis

Authors: Salzo S. Villa S.

Source: Mathematical Programming

Subject Terms: Optimization and Control (math.OC), Arbitrary sampling, Convergence rates, Convex optimization, Error bounds, Forward–backward algorithm, Parallel algorithms, Random block-coordinate descent, Stochastic quasi-Fejér sequences, 65K05, 90C25, 90C06, 49M27, FOS: Mathematics, 0211 other engineering and technologies, convex optimization, parallel algorithms, random block-coordinate descent, arbitrary sampling, error bounds, stochastic quasi-Fejé r sequences, forward– backward algorithm, convergence rates, 02 engineering and technology, Mathematics - Optimization and Control

File Description: application/pdf

Access URL: http://arxiv.org/pdf/1906.07392
http://arxiv.org/abs/1906.07392
https://link.springer.com/article/10.1007/s10107-020-01602-1

A two-metric variable scaled forward-backward algorithm for ℓ0 optimization problem and its applications.

Authors: Chen, Qian Shen, Zhengwei

Source: Numerical Algorithms. Sep2024, Vol. 97 Issue 1, p191-221. 31p.

Subject Terms: *FORWARD-backward algorithm, *IMAGE reconstruction, *TUMOR classification, *BREAST cancer, *ALGORITHMS

Forward-Backward Algorithms Devised by Graphs.

Authors: Aragón-Artacho, Francisco J. Campoy, Rubén López-Pastor, César

Source: SIAM Journal on Optimization. 2025, Vol. 35 Issue 4, p2423-2451. 29p.

Subject Terms: *MATHEMATICAL optimization, *QUANTITATIVE research, FORWARD-backward algorithm, GRAPH theory, OPERATOR equations, OPTIMIZATION algorithms, MONOTONE operators