Výsledky vyhledávání - Numerical mathematical programming methods

A revised MRMIL Riemannian conjugate gradient method with simplified global convergence properties

Autoři: Nasiru Salihu Poom Kumam Sani Salisu a další

Zdroj: Applied Numerical Mathematics. 214:110-126

Témata: global convergence, Numerical mathematical programming methods, vector transport, Nonlinear programming, conjugate gradient method, Riemannian optimization, Riemannian Wolfe conditions, retraction

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034927
https://doi.org/10.1016/j.apnum.2025.03.007

Inexact log-domain interior-point methods for quadratic programming

Autoři: Jordan Leung Frank Permenter Ilya Kolmanovsky

Zdroj: Computational Optimization and Applications. 89:625-658

Témata: Numerical mathematical programming methods, interior-point methods, inexact Newton methods, quadratic programming, Interior-point methods, Quadratic programming, iterative methods for linear systems

Popis souboru: application/xml

Convergence of a stochastic variance reduced Levenberg–Marquardt method: Convergence of a stochastic variance reduced Levenberg-Marquardt method

Autoři: Shao, Weiyi Fan, Jinyan

Zdroj: Computational Optimization and Applications. 90:417-444

Témata: least squares problems, Numerical mathematical programming methods, Nonlinear programming, variance reduced method, Mathematical programming, stochastic Levenberg-Marquardt algorithm, empirical residual optimization problem, mini-batch estimation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8015914
https://doi.org/10.1007/s10589-024-00639-8

Accelerated gradient methods on the Grassmann and Stiefel manifolds

Autoři: Xiaojing Zhu

Zdroj: Japan Journal of Industrial and Applied Mathematics. 42:751-786

Témata: Programming in abstract spaces, Stiefel manifold, Numerical mathematical programming methods, Nonlinear programming, accelerated gradient, global rate of convergence, Riemannian optimization, Abstract computational complexity for mathematical programming problems, Nonconvex programming, global optimization, Grassmann manifold

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8037191
https://doi.org/10.1007/s13160-025-00692-8

A gradient projection method for semi-supervised even order hypergraph clustering problems

Autoři: Chang, Jingya Liu, Dongdong Xi, Min

Zdroj: Pacific Journal of Optimization. 21:51-62

Témata: Numerical mathematical programming methods, Classification and discrimination, cluster analysis (statistical aspects), manifold, semi-supervised clustering, Multilinear algebra, tensor calculus, hypergraph, Programming involving graphs or networks, Hypergraphs, tensor

Popis souboru: application/xml

On convergence of the block Lanczos method for the CDT subproblem

Autoři: Gu, Ying Guo, Yongyan

Zdroj: Journal of Applied Mathematics and Computing. 70:6443-6454

Témata: Numerical optimization and variational techniques, Numerical mathematical programming methods, Block-Lanczos method, CDT subproblem, Quadratic programming, Krylov subspace, convergence analysis

Popis souboru: application/xml

On the Extension of Dai-Liao Conjugate Gradient Method for Vector Optimization: On the extension of Dai-Liao conjugate gradient method for vector optimization

Autoři: Hu, Qingjie Li, Ruyun Zhang, Yanyan a další

Zdroj: Journal of Optimization Theory and Applications. 203:810-843

Témata: Pareto optimality, global convergence, vector optimization, Numerical mathematical programming methods, Dai-Liao conjugate gradient method, Multi-objective and goal programming

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7942689
https://doi.org/10.1007/s10957-024-02535-x

A conic regularized Barzilai–Borwein trust region method for large scale unconstrained optimization: A conic regularized Barzilai-Borwein trust region method for large scale unconstrained optimization

Autoři: Lijuan Zhao

Zdroj: Japan Journal of Industrial and Applied Mathematics. 42:553-574

Témata: Numerical mathematical programming methods, Nonlinear programming, simple conic model, regularized Barzilai-Borwein step, large scale, trust region

Popis souboru: application/xml

Improvement of Convergence of One- and Two-Step MSM Iteration Methods for Nondifferentiable Nonlinear Complementarity Problems: Improvement of convergence of one- and two-step MSM iteration methods for nondifferentiable nonlinear complementarity problems

Autoři: Gui-Lin Yan Yu-Jiang Wu Bo Deng

Zdroj: Communications on Applied Mathematics and Computation. 7:733-758

Témata: nonlinear complementarity problem (NCP), Iterative numerical methods for linear systems, convergence, Numerical mathematical programming methods, modulus-based, multisplitting, \(H_+\)-matrix, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), \(H\)-splitting

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034297
https://doi.org/10.1007/s42967-024-00378-x

A Newton-CG based barrier-augmented Lagrangian method for general nonconvex conic optimization

Autoři: Chuan He Heng Huang Zhaosong Lu

Zdroj: Computational Optimization and Applications. 89:843-894

Témata: FOS: Computer and information sciences, Computer Science - Machine Learning, 0211 other engineering and technologies, operation complexity, Machine Learning (stat.ML), Interior-point methods, 02 engineering and technology, Nonconvex programming, global optimization, 01 natural sciences, Machine Learning (cs.LG), second-order stationary point, Numerical mathematical programming methods, 49M05, 49M15, 68Q25, 90C26, 90C30, 90C60, Nonlinear programming, Statistics - Machine Learning, nonconvex conic optimization, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Mathematics - Optimization and Control, Newton-conjugate gradient method, iteration complexity, Numerical Analysis (math.NA), Methods of quasi-Newton type, Optimization and Control (math.OC), barrier method, augmented Lagrangian method

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2301.04204
https://zbmath.org/7948914
https://doi.org/10.1007/s10589-024-00603-6

On solving a revised model of the nonnegative matrix factorization problem by the modified adaptive versions of the Dai–Liao method: On solving a revised model of the nonnegative matrix factorization problem by the modified adaptive versions of the Dai-Liao method

Autoři: Babaie-Kafaki, Saman Dargahi, Fatemeh Aminifard, Zohre

Zdroj: Numerical Algorithms. 99:505-519

Témata: ellipsoid norm, Numerical mathematical programming methods, Numerical linear algebra, conjugate gradient algorithm, quasi-Newton updating formula, 0211 other engineering and technologies, unconstrained optimization, nonnegative matrix factorization, 02 engineering and technology, Methods of quasi-Newton type, 0101 mathematics, 01 natural sciences, Factorization of matrices

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8032140
https://doi.org/10.1007/s11075-024-01886-w

First-Order Penalty Methods for Bilevel Optimization: First-order penalty methods for bilevel optimization

Autoři: Zhaosong Lu Sanyou Mei

Zdroj: SIAM Journal on Optimization. 34:1937-1969

Témata: bilevel optimization, first-order methods, FOS: Computer and information sciences, Computer Science - Machine Learning, 0211 other engineering and technologies, operation complexity, Machine Learning (stat.ML), 02 engineering and technology, Numerical Analysis (math.NA), Nonconvex programming, global optimization, Minimax problems in mathematical programming, Machine Learning (cs.LG), penalty methods, Numerical mathematical programming methods, Nonlinear programming, Statistics - Machine Learning, Optimization and Control (math.OC), FOS: Mathematics, minimax optimization, Mathematics - Numerical Analysis, 90C26, 90C30, 90C47, 90C99, 65K05, Mathematics - Optimization and Control

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2301.01716

Sampling and Update Frequencies in Proximal Variance-Reduced Stochastic Gradient Methods: Sampling and update frequencies in proximal variance-reduced stochastic gradient methods

Autoři: Martin Morin Pontus Giselsson

Zdroj: Journal of Optimization Theory and Applications. 205

Témata: Large-scale problems in mathematical programming, FOS: Computer and information sciences, Convex programming, sampling, Computer Science - Machine Learning, 0211 other engineering and technologies, SAGA, L-SVRG, 02 engineering and technology, stochastic gradient, Machine Learning (cs.LG), Numerical mathematical programming methods, epoch length, Nonlinear programming, Optimization and Control (math.OC), variance-reduced, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Primary 65K05, Secondary 90C06, 90C25, 90C30, 68Q25, Mathematics - Optimization and Control

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2002.05545

New Douglas-Rashford Splitting Algorithms for Generalized DC Programming with Applications in Machine Learning: New Douglas-Rashford splitting algorithms for generalized DC programming with applications in machine learning

Autoři: Yonghong Yao Lateef O. Jolaoso Yekini Shehu a další

Zdroj: Journal of Scientific Computing. 103

Témata: machine learning, Numerical mathematical programming methods, DC programming, Nonlinear programming, Optimization and Control (math.OC), nonconvex optimization, Learning and adaptive systems in artificial intelligence, FOS: Mathematics, Nonconvex programming, global optimization, Douglas-Rachford splitting algorithm, Mathematics - Optimization and Control

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2404.14800

Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design: Design guidelines for noise-tolerant optimization with applications in robust design

Autoři: Lou, Yuchen Sun, Shigeng Nocedal, Jorge

Zdroj: SIAM Journal on Scientific Computing. 47:A1335-A1357

Témata: 0211 other engineering and technologies, Stochastic programming, 02 engineering and technology, Numerical Analysis (math.NA), stochastic optimization, nonlinear optimization, 01 natural sciences, Design techniques (robust design, computer-aided design, etc.), Numerical mathematical programming methods, Nonlinear programming, Optimization and Control (math.OC), FOS: Mathematics, 90C30, 90C15, 93B51, 65K05, noise estimation, Mathematics - Numerical Analysis, 0101 mathematics, Mathematics - Optimization and Control

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.15007

Two self-adaptive derivative-free methods with restart procedure for constrained nonlinear equations with applications

Autoři: Shuangyu Li Liping Pang Menglong Xue a další

Zdroj: Journal of Applied Mathematics and Computing. 70:6219-6243

Témata: global convergence, signal restoration, Numerical mathematical programming methods, Nonlinear programming, logistic regression, derivative-free method, Derivative-free methods and methods using generalized derivatives, constrained nonlinear equations

Popis souboru: application/xml

A Block Lanczos Method for Large-Scale Quadratic Minimization Problems with Orthogonality Constraints: A block Lanczos method for large-scale quadratic minimization problems with orthogonality constraints

Autoři: Feng, Bo Wu, Gang

Zdroj: SIAM Journal on Scientific Computing. 46:A884-A905

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Large-scale problems in mathematical programming, Iterative numerical methods for linear systems, 0211 other engineering and technologies, 02 engineering and technology, Numerical Analysis (math.NA), Quadratic programming, block Krylov subspace, Nonconvex programming, global optimization, 01 natural sciences, quadratic minimization problems with orthogonality constraints, Numerical mathematical programming methods, QMPO, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, block Lanczos

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2304.11886
https://zbmath.org/7820565
https://doi.org/10.1137/23m1568545

A diagonal quasi-Newton method based on automatic differentiation for nonlinear equations

Autoři: Huiping Cao Wugang Li

Zdroj: Calcolo. 62

Témata: Numerical mathematical programming methods, Numerical computation of solutions to systems of equations, nonlinear equations, local convergence, diagonal quasi-Newton method, Methods of quasi-Newton type, automatic differentiation, weak direct tangent condition

Popis souboru: application/xml

Distributed Dual Subgradient Methods with Averaging and Applications to Grid Optimization: Distributed dual subgradient methods with averaging and applications to grid optimization

Autoři: Haitian Liu Subhonmesh Bose Hoa Dinh Nguyen a další

Zdroj: Journal of Optimization Theory and Applications. 203:1991-2024

Témata: Convex programming, Numerical mathematical programming methods, Optimization and Control (math.OC), FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, Systems and Control (eess.SY), 02 engineering and technology, power system examples, distributed optimization, Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2107.07061

An inertial Dai-Liao conjugate method for convex constrained monotone equations that avoids the direction of maximum magnification

Autoři: Jamilu Sabi’u Sekson Sirisubtawee

Zdroj: Journal of Applied Mathematics and Computing. 70:4319-4351

Témata: inertial interpolation, direction of maximum magnification, linear convergence rate, Numerical mathematical programming methods, projection techniques, Derivative-free methods and methods using generalized derivatives, Dai-Liao CG

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8035063
https://doi.org/10.1007/s12190-024-02123-2