Forward-Backward Algorithms Devised by Graphs.

Authors: Aragón-Artacho, Francisco J.¹ (AUTHOR) francisco.aragon@ua.es, Campoy, Rubén¹ (AUTHOR) ruben.campoy@ua.es, López-Pastor, César¹ (AUTHOR) cesar.lopez@ua.es

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

Analysis of Tseng algorithm with inertial extrapolation step for stochastic variational inequality problem.

Authors: Oyewole, Olawale K.¹ (AUTHOR) OyewoleOK@tut.ac.za, Moshokoa, Seithuti P.¹ (AUTHOR) MoshokoaSP@tut.ac.za, Salisu, Sani² (AUTHOR) sani.salisu@slu.edu.ng, Shehu, Yekini^1,3 (AUTHOR) yekini.shehu@zjnu.edu.cn

Source: Applied Numerical Mathematics. Nov2025, Vol. 217, p199-215. 17p.

Subject Terms: *FORWARD-backward algorithm, *ALGORITHMS, *EXTRAPOLATION, *COMPUTER simulation, *STOCHASTIC programming

Hidden Markov Models and the Bayes Filter in Categorical Probability

Authors: Fritz, T., Klingler, A., McNeely, D., Shah Mohammed, A., Wang, Y.

Source: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 71(9):7052-7075 Sep, 2025

A projective double inertial forward-backward splitting algorithm for variational inclusion problems application to data classification.

Authors: Puttharak, Phopgao¹ (AUTHOR) phopgao.bu@up.ac.th, Nabheerong, Pennipat² (AUTHOR) pennipat.na@up.ac.th, Cholamjiak, Watcharaporn³ (AUTHOR) watcharaporn.ch@up.ac.th

Source: Mathematical Foundations of Computing. Aug2025, Vol. 8 Issue 4, p1-13. 13p.

Subject Terms: *EXTREME learning machines, *FORWARD-backward algorithm, *HILBERT space, *BREAST cancer, *RADIOGRAPHS

Splitting algorithms for solving state-dependent maximal monotone inclusion problems.

Authors: Li, Xiaoxiao¹ (AUTHOR), Dong, Qiao-Li¹ (AUTHOR), Gibali, Aviv^2,3 (AUTHOR) avivg@braude.ac.il

Source: Optimization. Aug2025, Vol. 74 Issue 9, p2113-2136. 24p.

Subject Terms: *ALGORITHMS, *FORWARD-backward algorithm, *SIMULATION methods & models, *MONOTONE operators, *OPTIMIZATION algorithms

Forward-backward-half forward splitting algorithm with deviations.

Authors: Qin, Liqian¹ (AUTHOR), Dong, Qiao-Li¹ (AUTHOR), Zhang, Yaxuan¹ (AUTHOR), Sahu, D. R.² (AUTHOR) drsahudr@gmail.com

Source: Optimization. Aug2025, Vol. 74 Issue 9, p2137-2158. 22p.

Subject Terms: *FORWARD-backward algorithm, *MONOTONE operators, *LIPSCHITZ continuity, *MATHEMATICAL analysis, *OPERATOR functions, *ALGORITHMS, *EMPIRICAL research, *STANDARD deviations

A RESOLVENT COMPUTATIONAL-FREE ALGORITHM FOR SOLVING MONOTONE INCLUSION PROBLEMS WITH APPLICATIONS.

Authors: ADAMU, ABUBAKAR^1,2,3 aadamu@aust.edu.ng, POOM KUMAM petcharaporn.40@mail.kmutt.ac.th, DUANGKAMON KITKUAN⁴ duangkamon@hotmail.com, PETCHARAPORN YODJAI³, KANOKWAN SITTHITHAKERNGKIET^5,6 kanokwan.s@sci.kmutnb.ac.th

Source: Fixed Point Theory. 2025, Vol. 26 Issue 2, p323-341. 19p.

Subject Terms: *FORWARD-backward algorithm, *IMAGE reconstruction, *HILBERT space, *CLASSICAL literature, *MATHEMATICS, *MONOTONE operators

隐半马尔可夫模型提高水下采油井口疲劳寿命预测速度.

Alternate Title: Improving the prediction speed of fatigue life of subsea christmas trees by using Hidden Semi-Markov Models.

Authors: 郑文培¹ zhengwp@cup.edu.cn, 李凯欣¹ 2022211074@student.cup.edu.cn, 曹思雨¹, 周涛涛¹

Source: Oil Drilling & Production Technology / Shiyou Zuancai Gongyi. 2025, Vol. 47 Issue 1, p93-104. 12p.

Subject Terms: *IMPULSE response, FORWARD-backward algorithm, FATIGUE life, VITERBI decoding, CHRISTMAS trees

Enhanced proximal gradient methods with multi inertial terms for minimization problem

Authors: Kankam, Kunrada, Cholamjiak, Watcharaporn, Cholamjiak, Prasit^{Aff2, IDs12190025026100_cor1}, Yao, Jen-Chih^{Aff3, Aff4}

Source: Journal of Applied Mathematics and Computing. 71(6):9089-9127

Distributed forward-backward methods for ring networks

Authors: Aragon-Artacho, Francisco J., Malitskyi, Yurii, Tam, Matthew K., Torregrosa-Belen, David

Source: Computational optimization and applications. 86(3):845-870

Subject Terms: Monotone operator, Monotone inclusion, Splitting algorithm, Forward-backward algorithm, Distributed optimisation

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-187854
https://liu.diva-portal.org/smash/get/diva2:1691600/FULLTEXT01.pdf

On the forward–backward method with nonmonotone linesearch for infinite-dimensional nonsmooth nonconvex problems

Authors: Azmi, Behzad, Bernreuther, Marco

Source: Computational Optimization and Applications. 91:1263-1308

Subject Terms: ddc:510, Infinite-dimensional problems, Forward–backward algorithm, PDE-constrained optimization, Nonsmooth nonconvex optimization, Quadratic growth, Nonmonotone linesearch

File Description: application/pdf

Access URL: https://hdl.handle.net/10419/323337

4. Bayesian learning

Source: Machine Learning and Visual Perception. Dec 09, 2024

Mixed space coupled hidden Markov model.

Authors: Kroumbi, Hafssa¹ (AUTHOR) kroumbihafssa@gmail.com, Nasroallah, Abdelaziz¹ (AUTHOR) nasroallah@uca.ma

Source: Monte Carlo Methods & Applications. Mar2025, Vol. 31 Issue 1, p29-42. 14p.

Subject Terms: *HIDDEN Markov models, *FORWARD-backward algorithm, *VITERBI decoding, *DISTRIBUTION (Probability theory), *INTERRACIAL couples

Convergence analysis of the generalized viscosity explicit method for solving variational inclusion problems in Banach spaces with applications.

Authors: Kowan, T.¹ (AUTHOR), Suwansoontorn, S.¹ (AUTHOR), Jitpeera, T.² (AUTHOR), Mongkolkeha, C.¹ (AUTHOR) faascsm@ku.ac.th

Source: Optimization. Feb2025, Vol. 74 Issue 2, p391-425. 35p.

Subject Terms: *BANACH spaces, *FORWARD-backward algorithm, *VISCOSITY, *ALGORITHMS

Accelerated forward-backward algorithms with subgradient corrections

Authors: He, Xin, Fang, Yaping^{Aff2, IDs10589025007193_cor1}

Source: Computational Optimization and Applications: An International Journal. :1-36

Audio signal analysis using a modified forward–forward algorithm with enhanced segmentation for soil pest detection

Authors: Dash, Tusar Kanti, Raj, Anurag, Mahapatra, Satyajit^{Aff3, IDs41598025157707_cor1}, Panda, Ganapati

Source: Scientific Reports. 15(1)

Inertial Stochastic Reflected Forward Backward Method with Applications to Traffic Network Problems

Authors: Izuchukwu, Chinedu, Alakoya, Timilehin Opeyemi, Moutari, Salissou, Zeng, Shengda^{Aff3, IDs10957025027791_cor1}

Source: Journal of Optimization Theory and Applications. 207(2)

SIMPLIFIED PRIMAL-DUAL FORWARD-BACKWARD SPLITTING ALGORITHM FOR SOLVING STRUCTURED MONOTONE INCLUSION WITH APPLICATIONS.

Authors: HUANG, WENLI, LI, HAIYANG, PENG, JIGEN, TANG, YUCHAO, HE, HUIMIN

Source: Journal of Nonlinear & Variational Analysis; 2025, Vol. 9 Issue 6, p927-945, 19p

Subject Terms: IMAGE processing, SIGNAL processing, FORWARD-backward algorithm, OPTIMIZATION algorithms, CONVEX programming, MONOTONE operators

A New Version of Forward-Backward-Forward Splitting Algorithm For Monotone Inclusions.

Authors: Ogwo, Grace Nnennaya, Izuchukwu, Chinedu, Shehu, Yekini, Zhao, Xiaopeng

Source: Computational & Applied Mathematics; Oct2025, Vol. 44 Issue 7, p1-21, 21p

Subject Terms: HILBERT space, FORWARD-backward algorithm, MONOTONIC functions, SIMULATION methods & models

Enhance the Voltage Profile and Minimize Power Loss of Radial Power System

Authors: Bhengra, Ivan Carol, Rai, J.N.

Source: 2023 10th IEEE Uttar Pradesh Section International Conference on Electrical, Electronics and Computer Engineering (UPCON) Electrical, Electronics and Computer Engineering (UPCON), 2023 10th IEEE Uttar Pradesh Section International Conference on. 10:1453-1458 Dec, 2023

Relation: 2023 10th IEEE Uttar Pradesh Section International Conference on Electrical, Electronics and Computer Engineering (UPCON)