Search Results - Proximal majorization-minimization algorithm

Majorization-Minimization Bregman Proximal Gradient Algorithms for NMF with the Kullback–Leibler Divergence

Authors: Shota Takahashi Mirai Tanaka Shiro Ikeda

Source: Journal of Optimization Theory and Applications. 208

Subject Terms: 90C26, 49M37, 15A23, Optimization and Control (math.OC), Optimization and Control, FOS: Mathematics

Access URL: http://arxiv.org/abs/2405.11185

An inexact proximal majorization-minimization algorithm for remote sensing image stripe noise removal

Authors: Wang, Chengjing Zhao, Xile Wang, Qingsong et al.

Source: Numerical Algorithms. 97:1119-1139

Subject Terms: 65K05, 90C26, 90C90, Image and Video Processing (eess.IV), FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Electrical Engineering and Systems Science - Image and Video Processing

Access URL: http://arxiv.org/abs/2308.08866

A Proximal-Proximal Majorization-Minimization Algorithm for Nonconvex Rank Regression Problems

Authors: Peipei Tang Chengjing Wang Bo Jiang

Source: IEEE Transactions on Signal Processing. 71:3502-3517

An inexact proximal majorization-minimization Algorithm for remote sensing image stripe noise removal

Authors: Wang, Chengjing Zhao, Xile Wang, Qingsong et al.

Index Terms: Mathematics - Numerical Analysis, Electrical Engineering and Systems Science - Image and Video Processing, 65K05, 90C26, 90C90, text

URL: http://arxiv.org/abs/2308.08866

A proximal-proximal majorization-minimization algorithm for nonconvex tuning-free robust regression problems

Authors: Tang, Peipei Wang, Chengjing Jiang, Bo

Index Terms: Mathematics - Optimization and Control, Computer Science - Machine Learning, Mathematics - Numerical Analysis, Statistics - Computation, Statistics - Machine Learning, text

URL: http://arxiv.org/abs/2106.13683

A sparse semismooth Newton based proximal majorization-minimization algorithm for nonconvex square-root-loss regression problems

Authors: Tang, P Wang, C Sun, D et al.

Contributors: Tang, P Wang, C Sun, D et al.

Subject Terms: Semismooth Newton method, FOS: Computer and information sciences, Computer Science - Machine Learning, 0211 other engineering and technologies, Machine Learning (stat.ML), 02 engineering and technology, Numerical Analysis (math.NA), Statistics - Computation, 01 natural sciences, Machine Learning (cs.LG), Nonconvex square-root regression problems, Statistics - Machine Learning, Optimization and Control (math.OC), FOS: Mathematics, Proximal majorization-minimization, Mathematics - Numerical Analysis, 0101 mathematics, Mathematics - Optimization and Control, Computation (stat.CO)

Access URL: http://arxiv.org/abs/1903.11460

Variable Bregman Majorization-Minimization Algorithm and its Application to Dirichlet Maximum Likelihood Estimation

Authors: Martin, Ségolène Pesquet, Jean-Christophe Steidl, Gabriele et al.

Index Terms: Computer Science - Machine Learning, Mathematics - Optimization and Control, text

URL: http://arxiv.org/abs/2501.07306

A sparse semismooth Newton based proximal majorization-minimization algorithm for nonconvex square-root-loss regression problems

Authors: Tang, P Wang, C Sun, D et al.

Contributors: Tang, P Wang, C Sun, D et al.

Subject Terms: Nonconvex square-root regression problems, Proximal majorization-minimization, Semismooth Newton method

Relation: http://hdl.handle.net/10397/98518; 38; 21; 226

Availability: http://hdl.handle.net/10397/98518

Majorization-Minimization Bregman Proximal Gradient Algorithms for NMF with the Kullback–Leibler Divergence.

Authors: Takahashi, Shota Tanaka, Mirai Ikeda, Shiro

Source: Journal of Optimization Theory & Applications; Jan2026, Vol. 208 Issue 1, p1-34, 34p

A sparse semismooth Newton based proximal majorization-minimization algorithm for nonconvex square-root-loss regression problems

Authors: Tang, Peipei Wang, Chengjing Sun, Defeng et al.

Index Terms: Mathematics - Optimization and Control, Computer Science - Machine Learning, Mathematics - Numerical Analysis, Statistics - Computation, Statistics - Machine Learning, text

URL: http://arxiv.org/abs/1903.11460

A Sparse Semismooth Newton Based Proximal Majorization-Minimization Algorithm for Nonconvex Square-Root-Loss Regression Problems.

Authors: Peipei Tang Chengjing Wang Defeng Sun et al.

Source: Journal of Machine Learning Research. 2020, Vol. 20, p1-38. 38p.

Subject Terms: *PROBLEM solving, *ALGORITHMS, *NEWTON-Raphson method

Robust Tensor Completion: Equivalent Surrogates, Error Bounds, and Algorithms

Authors: Zhao, X Bai, M Sun, D et al.

Contributors: Zhao, X Bai, M Sun, D et al.

Source: SIAM Journal on Imaging Sciences. 15:625-669

Subject Terms: Impulse noise, Error bounds, 0211 other engineering and technologies, Proximal majorization-minimization, 02 engineering and technology, Robust low-rank tensor completion, 0101 mathematics, 01 natural sciences, DC equivalent surrogates

BLOCK MAJORIZATION-MINIMIZATION WITH DIMINISHING RADIUS FOR CONSTRAINED NONSMOOTH NONCONVEX ΟΡΤΙΜΙΖATION*.

Authors: LYUT, HANBAEK LI, YUCHEN

Source: SIAM Journal on Optimization. 2025, Vol. 35 Issue 2, p842-871. 30p.

Subject Terms: *CONSTRAINED optimization, *OPTIMIZATION algorithms, *APPROXIMATION theory, *MATHEMATICAL optimization, *ITERATIVE methods (Mathematics), *ASYMPTOTIC analysis

An inexact proximal majorization–minimization method for a class of image reconstruction models

Authors: Bujin Li Shaohua Pan Tieyong Zeng

Source: Inverse Problems. 41:065004

A Systematic Approach to General Higher-Order Majorization-Minimization Algorithms for (Non)convex Optimization.

Authors: Necoara, Ion Lupu, Daniela

Source: SIAM Journal on Optimization; 2025, Vol. 35 Issue 4, p2372-2401, 30p

Subject Terms: MATHEMATICAL optimization, OPTIMIZATION algorithms, APPROXIMATION theory, LIPSCHITZ continuity, NONCONVEX programming, SURROGATE-based optimization

proximal distance algorithm for likelihood-based sparse covariance estimation.

Authors: Xu, Jason Lange, Kenneth

Source: Biometrika. Dec2022, Vol. 109 Issue 4, p1047-1066. 20p.

Subject Terms: *CELL communication, *ALGORITHMS, *COVARIANCE matrices, *EMIGRATION & immigration

Smoothing randomized block-coordinate proximal gradient algorithms for nonsmooth nonconvex composite optimization.

Authors: Li, Xue Bian, Wei

Source: Numerical Algorithms; Sep2025, Vol. 100 Issue 1, p395-424, 30p

Subject Terms: NONSMOOTH optimization, OPTIMIZATION algorithms, EMPIRICAL research, ASYMPTOTIC analysis, DISCONTINUOUS functions, STATISTICAL smoothing

MM optimization: Proximal distance algorithms, path following, and trust regions.

Authors: Landeros, Alfonso Xu, Jason Lange, Kenneth

Source: Proceedings of the National Academy of Sciences of the United States of America. 7/4/2023, Vol. 120 Issue 27, p1-12. 12p.

Subject Terms: *OPTIMIZATION algorithms, *TRUST, *MATRIX decomposition, *ALGORITHMS, *CONSTRAINED optimization

Stochastic Regularized Majorization-Minimization with weakly convex and multi-convex surrogates.

Authors: Hanbaek Lyu¹ HLYU@MATH.WISC.EDU

Source: Journal of Machine Learning Research. Jan-Dec2024, Vol. 25, p1-83. 83p.

Subject Terms: *OPTIMIZATION algorithms, *STOCHASTIC convergence, *DEEP learning, *ONLINE education, *FACTORIZATION

Optimization Methods for Signal Processing

Authors: Chouzenoux, Emilie Pesquet, Jean-Christophe C.Jutten, L.T. Duarte, S. Moussaoui

Contributors: Chouzenoux, Emilie Pesquet, Jean-Christophe C.Jutten, L.T. Duarte, S. Moussaoui

Subject Terms: Optimization, Convex analysis, Splitting techniques, Primal- dual algorithms, Half-Quadratic strategies, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Proximal algorithms, Block coor- dinate minimization, Majorization-Minimization, Interior point algorithms

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Access URL: https://inria.hal.science/hal-04250055v1