Výsledky vyhledávání - "Numerical optimization and variational techniques"

Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes: Second-order flows for approaching stationary points of a class of nonconvex energies via convex-splitting schemes

Autoři: Haifan Chen Guozhi Dong José A. Iglesias a další

Zdroj: SIAM Journal on Scientific Computing. 47:A1604-A1627

Témata: Numerical optimization and variational techniques, convergence, stationary point, Numerical Analysis (math.NA), convex-splitting scheme, nonconvex functional, Error bounds for initial value and initial-boundary value problems involving PDEs, Mathematics - Analysis of PDEs, Second-order semilinear hyperbolic equations, Optimization and Control (math.OC), 35Q90, 35L71, 65M15, 65K10, FOS: Mathematics, dissipative hyperbolic equation, Mathematics - Numerical Analysis, PDEs in connection with mathematical programming, second-order flow, Mathematics - Optimization and Control, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2402.12173

The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold: The ultimate upper bound on the injectivity radius of the Stiefel manifold

Autoři: P.-A. Absil Simon Mataigne UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique

Přispěvatelé: P.-A. Absil Simon Mataigne UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique

Zdroj: SIAM Journal on Matrix Analysis and Applications, Vol. 46, no.2, p. 1145-1167 (2025)

Témata: Mathematics - Differential Geometry, Numerical optimization and variational techniques, Stiefel manifold, canonical metric, geodesic loops, Geodesics in global differential geometry, conjugate points, Applications of differential geometry to sciences and engineering, Differential geometry of homogeneous manifolds, Differential Geometry (math.DG), Optimization and Control (math.OC), FOS: Mathematics, Euclidean metric, Orthogonal matrices, Hermitian, skew-Hermitian, and related matrices, geodesicloops, Mathematics - Optimization and Control, injectivity radius

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2403.02079
https://hdl.handle.net/2078.1/300690

Matrix Completion and Decomposition in Phase-Bounded Cones: Matrix completion and decomposition in phase-bounded cones

Autoři: Ding Zhang Axel Ringh Li Qiu

Zdroj: SIAM Journal on Matrix Analysis and Applications. 46:837-857

Témata: Numerical optimization and variational techniques, decomposition, Rings and Algebras, numerical range, Matrix completion problems, Systems and Control (eess.SY), chordal graph, Optimization and Control (math.OC), Rings and Algebras (math.RA), Optimization and Control, Numerical range, numerical radius, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Norms of matrices, numerical range, applications of functional analysis to matrix theory, phases, completion, Systems and Control

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2409.10282

An Efficient Algorithm for the Riemannian Logarithm on the Stiefel Manifold for a Family of Riemannian Metrics: An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics

Autoři: Simon Mataigne Ralf Zimmermann Nina Miolane a další

Přispěvatelé: Simon Mataigne Ralf Zimmermann Nina Miolane a další

Zdroj: SIAM Journal on Matrix Analysis and Applications, Vol. 46, no.2, p. 879-905 (2025)

Témata: Mathematics - Differential Geometry, Numerical optimization and variational techniques, Stiefel manifold, Methods of global Riemannian geometry, including PDE methods, curvature restrictions, Numerical Analysis (math.NA), Geodesics in global differential geometry, Riemannian logarithm, Differential Geometry (math.DG), Riemannian metric, Numerical aspects of computer graphics, image analysis, and computational geometry, Computer graphics, computational geometry (digital and algorithmic aspects), FOS: Mathematics, Mathematics - Numerical Analysis, Differential geometric aspects of statistical manifolds and information geometry, 15B10, 15B57, 53Z50, 65B99, 15A16, geodesic distance

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2403.11730
https://hdl.handle.net/2078.1/300362
https://portal.findresearcher.sdu.dk/da/publications/5b3a47d2-29da-4b02-9e3e-17d86cbedbbe
https://doi.org/10.1137/24M1647801

Medical Image Registration Using Optimal Control of a Linear Hyperbolic Transport Equation with a DG Discretization: Medical image registration using optimal control of a linear hyperbolic transport equation with a DG discretization

Autoři: Bastian Zapf Johannes Haubner Lukas Baumgärtner a další

Zdroj: SIAM Journal on Scientific Computing. 47:B253-B279

Témata: Numerical optimization and variational techniques, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Computing methodologies for image processing, image registration, image transport, meshing, Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Numerical Analysis, hyperbolic PDEs, 35D30, 35L02, 35Q49, 35Q93, 35R30, 49M05, 49M41, 49N45, 65D18, 65K10, 65M32, 65M50, 68T99, optimization, Mathematics - Optimization and Control, discontinuous Galerkin

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2305.03020
https://zbmath.org/8005983
https://doi.org/10.1137/23m1570727

An inverse problem of determining the parameters in diffusion equations by using fractional physics-informed neural networks

Autoři: M. Srati A. Oulmelk L. Afraites a další

Zdroj: Applied Numerical Mathematics. 208:189-213

Témata: time-fractional diffusion equations, Numerical optimization and variational techniques, Inverse problems for PDEs, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, Nonconvex programming, global optimization, Fractional partial differential equations, alternating direction multiplier method, inverse parameter problem, Fractional derivatives and integrals, physics-informed neural network method, Initial-boundary value problems for higher-order parabolic equations, DeepONets method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, gradient descent method, Artificial neural networks and deep learning

Popis souboru: application/xml

Optimal Design of Equilibrium Solutions of the Vlasov–Poisson System by an External Electric Field: Optimal design of equilibrium solutions of the Vlasov-Poisson system by an external electric field

Autoři: Borzì, A. Infante, G. Mascali, G.

Zdroj: SIAM Journal on Applied Mathematics. 85:143-163

Témata: Numerical optimization and variational techniques, optimal control theory, nonlinear Poisson--Boltzmann equation, Vlasov equation, 49J15, 49J20, 49K15, 49M05, 65K10, Existence theories for optimal control problems involving partial differential equations, Optimality conditions for problems involving ordinary differential equations, nonlinear Poisson-Boltzmann equation, Numerical methods based on necessary conditions, Vlasov equation, Mathematics - Analysis of PDEs, Existence theories for optimal control problems involving ordinary differential equations, Mathematics - Classical Analysis and ODEs, Optimization and Control (math.OC), Classical Analysis and ODEs (math.CA), FOS: Mathematics, optimal control theory, Mathematics - Optimization and Control, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2402.09306
https://zbmath.org/7973200
https://doi.org/10.1137/24m1643177
https://hdl.handle.net/20.500.11770/380503
https://doi.org/10.1137/24m1643177

A new two-parameter iteration method for solving absolute value equations

Autoři: Xiao-Yong Xiao Miao Zhang

Zdroj: Japan Journal of Industrial and Applied Mathematics. 42:631-652

Témata: Iterative numerical methods for linear systems, Numerical optimization and variational techniques, Numerical computation of solutions to systems of equations, iteration method, absolute value equations, linear complementarity problem, convergence analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8037186
https://doi.org/10.1007/s13160-024-00687-x

Stability Properties for Parametric Linear Programs under Data Ambiguities: Stability properties for parametric linear programs under data ambiguities

Autoři: Thai Doan Chuong Cao Thanh Tinh

Zdroj: SIAM Journal on Optimization. 35:92-115

Témata: Numerical optimization and variational techniques, parametric linear program, solution map, uncertain optimization, semi-infinite programming, Optimality conditions and duality in mathematical programming, stability, Multi-objective and goal programming

Popis souboru: application/xml; Print-Electronic

Přístupová URL adresa: https://zbmath.org/7966995
https://doi.org/10.1137/23m1618156
https://bura.brunel.ac.uk/handle/2438/30813

Inexact proximal point method with a Bregman regularization for quasiconvex multiobjective optimization problems via limiting subdifferentials

Autoři: Balendu Bhooshan Upadhyay Subham Poddar Jen-Chih Yao a další

Zdroj: Annals of Operations Research. 345:417-466

Témata: generalized convexity, Numerical optimization and variational techniques, Numerical methods based on nonlinear programming, Mordukhovich subdifferential, multiobjective optimization, Nonconvex programming, global optimization, sparse optimization, proximal point method, Bregman distance

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7985174
https://doi.org/10.1007/s10479-024-06461-z

Finding Similarity of Orbits Between Two Discrete Dynamical Systems via Optimal Principle: Finding similarity of orbits between two discrete dynamical systems via optimal principle

Autoři: Chen, Yuting Li, Yong

Zdroj: Communications in Computational Physics. 37:521-546

Témata: 0301 basic medicine, Numerical optimization and variational techniques, discrete dynamical system, homotopy, 02 engineering and technology, Dynamical Systems (math.DS), Optimality conditions for problems involving ordinary differential equations, 03 medical and health sciences, chaotic attractor, Dynamical systems in optimization and economics, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, optimal principle, Mathematics - Dynamical Systems, similarity

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2212.14564
https://zbmath.org/8033885
https://doi.org/10.4208/cicp.oa-2022-0318

Hyper-differential sensitivity analysis with respect to model discrepancy: Posterior optimal solution sampling: Hyper-differential sensitivity analysis with respect to model discrepancy: posterior optimal solution sampling

Autoři: Hart, Joseph Waanders, Bart van Bloemen

Zdroj: Foundations of Data Science. 7:99-133

Témata: Numerical optimization and variational techniques, post-optimality sensitivity analysis, Numerical methods for mathematical programming, optimization and variational techniques, Bayesian analysis, FOS: Mathematics, PDE-constrained optimization, model discrepancy, Probabilistic methods, stochastic differential equations, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, hyper-differential sensitivity analysis, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2402.10957
https://zbmath.org/7985324
https://doi.org/10.3934/fods.2024027

WAN Discretization of PDEs: Best Approximation, Stabilization, and Essential Boundary Conditions: WAN discretization of PDEs: best approximation, stabilization, and essential boundary conditions

Autoři: Silvia Bertoluzza Erik Burman Cuiyu He

Zdroj: SIAM Journal on Scientific Computing. 46:C688-C715

Témata: Cea's Lemma, pseudotime XNODE, Numerical optimization and variational techniques, Systems of nonlinear higher-order PDEs, Pseudo-time XNODE, Cea's lemma, Stability and convergence of numerical methods for boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, PDEs on manifolds, weak adversarial network, Numerical PDE, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Weak solutions to PDEs, Weak Adversarial Network, Artificial neural networks and deep learning

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/7964724
https://doi.org/10.1137/23m1588196

Gradient-Type Subspace Iteration Methods for the Symmetric Eigenvalue Problem: Gradient-type subspace iteration methods for the symmetric eigenvalue problem

Autoři: Foivos Alimisis Yousef Saad Bart Vandereycken

Zdroj: SIAM Journal on Matrix Analysis and Applications. 45:2360-2386

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical optimization and variational techniques, Eigenvalues, singular values, and eigenvectors, eigenspaces, trace optimization, 15A69, 15A18, Methods of reduced gradient type, Diagonalization, Jordan forms, partial diagonalization, Numerical Analysis (math.NA), Grassmann manifolds, Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Numerical Analysis, invariant subspaces, Mathematics - Optimization and Control, gradient descent

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2306.10379

The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach: The ADMM-PINNs algorithmic framework for nonsmooth PDE-constrained optimization: a deep learning approach

Autoři: Yongcun Song Xiaoming Yuan Hangrui Yue

Zdroj: SIAM Journal on Scientific Computing. 46:C659-C687

Témata: PDEs in connection with control and optimization, FOS: Computer and information sciences, Numerical optimization and variational techniques, Inverse problems for PDEs, Computer Science - Machine Learning, Control/observation systems governed by partial differential equations, Numerical methods based on nonlinear programming, Smoothness and regularity of solutions to PDEs, Nonsmooth analysis, deep learning, PDE constrained optimization (numerical aspects), 01 natural sciences, nonsmooth optimization, Machine Learning (cs.LG), physics-informed neural networks, Optimization and Control (math.OC), FOS: Mathematics, PDE-constrained optimization, 0101 mathematics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, ADMM, Mathematics - Optimization and Control, Artificial neural networks and deep learning

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2302.08309
https://zbmath.org/7955192
https://doi.org/10.1137/23m1566935

A sparse optimization approach to infinite infimal convolution regularization

Autoři: Kristian Bredies Marcello Carioni Martin Holler a další

Zdroj: Bredies, K, Carioni, M, Holler, M, Korolev, Y & Schönlieb, C-B 2025, 'A sparse optimization approach to infinite infimal convolution regularization', Numerische Mathematik, vol. 157, no. 1, pp. 41-96. https://doi.org/10.1007/s00211-024-01439-2
arxiv

Témata: 65J20, 35R11, Numerical optimization and variational techniques, 65K10, Methods involving semicontinuity and convergence, relaxation, Optimization and Control (math.OC), FOS: Mathematics, 49J45, name=Applied Mathematics, 0101 mathematics, name=Computational Mathematics, Mathematics - Optimization and Control, 01 natural sciences

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2304.08628
https://purehost.bath.ac.uk/ws/files/350497029/2304.08628v1.pdf

Conformal structure-preserving SVM methods for the nonlinear Schrödinger equation with weakly linear damping term

Autoři: Xin Li Luming Zhang

Zdroj: Applied Numerical Mathematics. 205:120-136

Témata: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical optimization and variational techniques, damped nonlinear Schrödinger equation, high-order accuracy, NLS equations (nonlinear Schrödinger equations), conformal properties, supplementary variable method, Time-dependent Schrödinger equations and Dirac equations, optimization model, Spectral, collocation and related methods for boundary value problems involving PDEs, PDE constrained optimization (numerical aspects), Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7901899
https://doi.org/10.1016/j.apnum.2024.06.024

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

Expected Residual Minimization Formulation for Stochastic Absolute Value Equations: Expected residual minimization formulation for stochastic absolute value equations

Autoři: Tang, Jingyong Zhou, Jinchuan

Zdroj: Journal of Optimization Theory and Applications. 203:651-675

Témata: Numerical optimization and variational techniques, Monte Carlo approximation, stochastic absolute value equations, smoothing gradient method, expected residual minimization formulation, Stochastic programming, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7942684
https://doi.org/10.1007/s10957-024-02527-x

A least-change secant algorithm for solving generalized complementarity problem

Autoři: Vivas, H. Pérez, R. Arias, C.

Zdroj: Numerical Algorithms. 99:75-100

Témata: least-change secant methods, Numerical optimization and variational techniques, nonlinear complementarity, generalized Jacobian, 0211 other engineering and technologies, 02 engineering and technology, generalized complementarity, 0101 mathematics, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), 01 natural sciences, \(q\)-superlinear convergence

Popis souboru: application/xml