A Variational Approach to the Design of Multivariable Discrete-Time Supertwisting-Like Algorithms

Authors: Miranda-Villatoro, F.A.

Source: IEEE Transactions on Automatic Control IEEE Trans. Automat. Contr. Automatic Control, IEEE Transactions on. 70(4):2495-2506 Apr, 2025

On the Metric Resolvent: Nonexpansiveness, Convergence Rates and Applications

Authors: Xue, Feng^{Aff1, IDs40305023005189_cor1}

Source: Journal of the Operations Research Society of China. 13(4):966-988

Improving DCE-MRI through Unfolded Low-Rank + Sparse Optimisation

Authors: Mokry, Ondrej, Vitous, Jiri, Rajmic, Pavel, Jirik, Radovan

Source: 2024 IEEE International Symposium on Biomedical Imaging (ISBI) Biomedical Imaging (ISBI), 2024 IEEE International Symposium on. :1-5 May, 2024

Relation: 2024 IEEE International Symposium on Biomedical Imaging (ISBI)

Solution of Mismatched Monotone+Lipschitz Inclusion Problems: Solution of mismatched monotone+Lipschitz inclusion problems

Authors: Chouzenoux, Emilie, Pesquet, Jean-Christophe, Roldán, Fernando

Contributors: Chouzenoux, Emilie

Source: SIAM Journal on Optimization

Subject Terms: Convex programming, fixed point theory, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], convex optimisation, convergence analysis, Splitting algorithms, Iterative procedures involving nonlinear operators, Numerical mathematical programming methods, Optimization and Control (math.OC), splitting algorithms, adjoint mismatch, FOS: Mathematics, Variational and other types of inclusions, Monotone operators and generalizations, Mathematics - Optimization and Control, convex optimiza- tion, 47H05, 47H10, 65K05, 90C25

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2310.06402
https://zbmath.org/7939058
https://doi.org/10.1137/23m1609166

Computing Wasserstein Barycenters via Operator Splitting: The Method of Averaged Marginals

Authors: Daniel W. Mimouni, Paul Malisani, Jiamin Zhu, Welington de Oliveira

Contributors: de Oliveira, Welington, IFP Energies nouvelles (IFPEN), Mines Paris - PSL (École nationale supérieure des mines de Paris), Université Paris Sciences et Lettres (PSL), Centre de Mathématiques Appliquées (CMA), Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL), Université Nice Sophia Antipolis UNS : EA3159

Source: SIAM Journal on Mathematics of Data Science. 6:1000-1026

Subject Terms: MSC : 46N10, Wasserstein Barycenter, 90C05, Splitting Algorithms, Douglas–Rachford method, 90C08, Optimal Transport, Wassertein Barycenters, 46N10, MSC codes : 46N10, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], [MATH] Mathematics [math], 90C25, Douglas-Rachford Method, optimal transport, [STAT.ML]Statistics [stat]/Machine Learning [stat.ML], Douglas-Rachford method, Optimization and Control (math.OC), Optimal transport, FOS: Mathematics, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [MATH]Mathematics [math], Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2309.05315
https://hal.science/hal-04300012v1

Forward-reflected-backward and shadow-Douglas–Rachford with partial inverse for solving monotone inclusions

Authors: Roldán, Fernando^{Aff1, IDs00186024008789_cor1}

Source: Mathematical Methods of Operations Research. 100(3):723-752

A quantum lattice algorithm with fourth-order accuracy for the one-dimensional Dirac equation

Authors: Dellar, Paul J.

Source: In Journal of Computational Physics 15 July 2025 533

An inertial projective splitting method for the sum of two maximal monotone operators

Authors: Pentón Machado, Majela^{Aff1, IDs40314024030416_cor1}

Source: Computational and Applied Mathematics. 44(2)

Analysis of ${\textit{d}}$ -ary tree algorithms with successive interference cancellation

Authors: Quirin Vogel, Yash Deshpande, Cedomir Stefanović, Wolfgang Kellerer

Source: Vogel, Q, Deshpande, Y, Stefanović, C & Kellerer, W 2024, 'Analysis of d-ary tree algorithms with successive interference cancellation', Journal of Applied Probability, vol. 61, no. 3, pp. 1075-1105. https://doi.org/10.1017/jpr.2023.107

Subject Terms: Networking and Internet Architecture (cs.NI), FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT), Probability (math.PR), 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, Random access, ddc, 68W40, 60J85 (Primary), 68W20, 60K20 (Secondary), Computer Science - Networking and Internet Architecture, asymptotic analysis, splitting algorithms, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, functional equation, Mathematics - Probability

File Description: application/pdf

Access URL: http://arxiv.org/abs/2302.08145
https://vbn.aau.dk/da/publications/c2901fde-8fcc-4803-85be-b334830b2c50
https://vbn.aau.dk/ws/files/766076337/analysis-of-dollartextitddollar-ary-tree-algorithms-with-successive-interference-cancellation.pdf
https://doi.org/10.1017/jpr.2023.107
http://www.scopus.com/inward/record.url?scp=85186102334&partnerID=8YFLogxK
https://mediatum.ub.tum.de/1737742

Linear Convergence Rate of Splitting Algorithms for Multi-Block Constrained Convex Minimizations

Authors: Deng, X., Liu, F., Huang, F.

Source: IEEE Access Access, IEEE. 8:120694-120700 2020

Training of extreme learning machine network based on novel generalized inertial forward-reflected-backward splitting algorithm

Authors: Tiexiang Li, Lateef O. Jolaoso, Muideen Adegoke, Yekini Shehu, Jen-Chih Yao

Subject Terms: Space Science, Biological Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, Information Systems not elsewhere classified, Splitting algorithms, inertial method, monotone inclusion, extreme learning machine, neural network, 68Q25, 68T05, 92B20, 90C25, 90C30

Availability: https://doi.org/10.6084/m9.figshare.29413834.v1
https://figshare.com/articles/journal_contribution/Training_of_extreme_learning_machine_network_based_on_novel_generalized_inertial_forward-reflected-backward_splitting_algorithm/29413834

Infimal post-composition approach for composite convex optimization applied to image restoration

Authors: Briceño-Arias, Luis M. ^a, Pustelnik, Nelly ^{b, ⁎}

Source: In Signal Processing October 2024 223

Unfolded Low-rank + Sparse Reconstruction for MRI

Authors: Mokrý, Ondřej, Vitouš, Jiří

Source: Proceedings II of the 28st Conference STUDENT EEICT 2022: Selected papers.. :271-275

Subject Terms: 03 medical and health sciences, 0302 clinical medicine, DCE-MRI, proximal splitting algorithms, deep unfolding, L+S model, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

File Description: text; application/pdf

Access URL: http://hdl.handle.net/11012/208650

A Projective Splitting Method for Monotone Inclusions: Iteration-Complexity and Application to Composite Optimization

Authors: Pentón Machado, Majela^{Aff1, IDs10957023022143_cor1}, Sicre, Mauricio Romero

Source: Journal of Optimization Theory and Applications. 198(2):552-587

Insider Threats and Cryptographic Techniques in Secure Information Management

Authors: Ogiela, L., Ogiela, M.R.

Source: IEEE Systems Journal Systems Journal, IEEE. 11(2):405-414 Jun, 2017

Cognitive information systems in secure information management and personalized cryptography

Authors: Ogiela, Lidia, Ogiela, Marek R., Ogiela, Urszula

Source: 2014 Joint 7th International Conference on Soft Computing and Intelligent Systems (SCIS) and 15th International Symposium on Advanced Intelligent Systems (ISIS) Soft Computing and Intelligent Systems (SCIS), 2014 Joint 7th International Conference on and Advanced Intelligent Systems (ISIS), 15th International Symposium on. :1152-1157 Dec, 2014

Relation: 2014 Joint 7th International Conference on Soft Computing and Intelligent Systems (SCIS) and 15th International Symposium on Advanced Intelligent Systems (ISIS)

Group-sparse matrix recovery

Authors: Zeng, Xiangrong, Figueiredo, Mario A. T.

Source: 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on. :7153-7157 May, 2014

Relation: ICASSP 2014 - 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

Fast iterative regularization by reusing data

Authors: Vega, Cristian, Molinari, Cesare, Rosasco, Lorenzo, Villa, Silvia

Source: Journal of Inverse and Ill-posed Problems

Subject Terms: early stopping, iterative regularization, Landweber method, Primal-dual splitting algorithms, stability and convergence analysis, Optimization and Control (math.OC), 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 02 engineering and technology, 0101 mathematics, Mathematics - Optimization and Control, 01 natural sciences, 90C25, 65K10, 49M29

File Description: application/pdf

Access URL: http://arxiv.org/abs/2204.10131

Online robust portfolio risk management using total least-squares and parallel splitting algorithms

Authors: Slavakis, Konstantinos, Leus, Geert, Giannakis, Georgios B.

Source: 2013 IEEE International Conference on Acoustics, Speech and Signal Processing Acoustics, Speech and Signal Processing (ICASSP), 2013 IEEE International Conference on. :5686-5690 May, 2013

Relation: ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

The Proximal Alternating Direction Method of Multipliers in the Nonconvex Setting: Convergence Analysis and Rates: Convergence analysis and rates

Authors: Radu Ioan Boţ, Dang-Khoa Nguyen

Source: Mathematics of Operations Research. 45:682-712

Subject Terms: 101016 Optimisation, NONSMOOTH, 0211 other engineering and technologies, Convergence rates, 02 engineering and technology, proximal splitting algorithms, convergence analysis, SPLITTING ALGORITHM, 47H05, 65K05, 90C26, Convergence analysis, Kurdyka-Lojasiewicz property, FOS: Mathematics, Mathematics - Numerical Analysis, Lojasiewicz exponent, Mathematics - Optimization and Control, Proximal splitting algorithms, SUM, alternating direction method of multipliers, Variable metric, Numerical Analysis (math.NA), Kurdyka-Łojasiewicz property, Łojasiewicz exponent, Alternating direction method of multipliers, nonconvex complexly structured optimization problems, variable metric, Optimization and Control (math.OC), convergence rates, MINIMIZATION, POINTS, 101016 Optimierung, Nonconvex complexly structured optimization problems

Access URL: http://arxiv.org/pdf/1801.01994
http://arxiv.org/abs/1801.01994
https://ucrisportal.univie.ac.at/de/publications/e526ce94-59b7-48e9-9406-221df3dcb56a
https://doi.org/10.1287/moor.2019.1008
https://pubsonline.informs.org/doi/10.1287/moor.2019.1008
https://dblp.uni-trier.de/db/journals/mor/mor45.html#BotN20
https://ideas.repec.org/a/inm/ormoor/v45y2020i2p682-712.html
http://ui.adsabs.harvard.edu/abs/2018arXiv180101994I/abstract