Suchergebnisse - "Variational techniques"

A novel projection-based method for monotone equations with Aitken Δ2 acceleration and its application to sparse signal restoration: A novel projection-based method for monotone equations with aitken \(\Delta^2\) acceleration and its application to sparse signal restoration

Autoren: Ahmad Kamandi

Quelle: Applied Numerical Mathematics. 213:1-11

Schlagwörter: large scale systems, projection based method, signal restoration, aitken \(\Delta^2\) process, systems of monotone equations, Numerical methods for mathematical programming, optimization and variational techniques, Mathematical programming, Nonlinear algebraic or transcendental equations, normalized negative residual

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8034914
https://doi.org/10.1016/j.apnum.2025.02.013

Online Learning for Rate-Adaptive Task Offloading Under Latency Constraints in Serverless Edge Computing

Autoren: Tutuncuoglu, Feridun Josilo, Sladana Dán, György

Quelle: IEEE/ACM Transactions on Networking. 31(2):695-709

Schlagwörter: Generalized Nash equilibrium problem, online learning, resource allocation, serverless edge computing, Computation theory, Data structures, E-learning, Edge computing, Game theory, Job analysis, Learning algorithms, Variational techniques, Wireless sensor networks, Computational modelling, FAA, Generalized Nash equilibrium problems, Resources allocation, Task analysis, Wireless communications

Dateibeschreibung: print

Zugangs-URL: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-327031
https://doi.org/10.1109/TNET.2022.3197669

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

Autoren: Haifan Chen Guozhi Dong José A. Iglesias et al.

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

Schlagwörter: 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)

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Ding Zhang Axel Ringh Li Qiu

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Simon Mataigne Ralf Zimmermann Nina Miolane et al.

Weitere Verfasser: Simon Mataigne Ralf Zimmermann Nina Miolane et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

Autoren: Hart, Joseph Waanders, Bart van Bloemen

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

V‐UNet: Medical Image Segmentation Based on Variational Attention Mechanism

Autoren: Yang Zhang Qiang Yang Tian Li et al.

Quelle: CAAI Transactions on Intelligence Technology, Vol 10, Iss 5, Pp 1350-1362 (2025)

Schlagwörter: image segmentation, medical image processing, variational techniques, Computational linguistics. Natural language processing, P98-98.5, Computer software, QA76.75-76.765

Dateibeschreibung: electronic resource

Relation: https://doaj.org/toc/2468-2322

Zugangs-URL: https://doaj.org/article/90d03a58864249d597f45c5d8b16e3c1

Grid is Good. Adaptive Refinement Algorithms for Off-the-Grid Total Variation Minimization: Grid is good. Adaptive refinement algorithms for off-the-grid total variation minimization

Autoren: Flinth, Axel de Gournay, Frédéric Weiss, Pierre

Quelle: Open Journal of Mathematical Optimization. 6:1-27

Schlagwörter: Total variation, measure spaces, Beräkningsmatematik, Communication, information, 0211 other engineering and technologies, Mathematical programming, Frank-Wolfe, 02 engineering and technology, Computational Mathematics, Frank–Wolfe, total variation, Optimization and Control (math.OC), Numerical methods for mathematical programming, optimization and variational techniques, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Optimization and Control

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2301.07555
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-242250

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

Autoren: Bastian Zapf Johannes Haubner Lukas Baumgärtner et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: M. Srati A. Oulmelk L. Afraites et al.

Quelle: Applied Numerical Mathematics. 208:189-213

Schlagwörter: 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

Dateibeschreibung: 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

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

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

Schlagwörter: 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)

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Xiao-Yong Xiao Miao Zhang

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Thai Doan Chuong Cao Thanh Tinh

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

Schlagwörter: 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

Dateibeschreibung: application/xml; Print-Electronic

Zugangs-URL: 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

Autoren: Balendu Bhooshan Upadhyay Subham Poddar Jen-Chih Yao et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Chen, Yuting Li, Yong

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Autoren: Silvia Bertoluzza Erik Burman Cuiyu He

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

Schlagwörter: 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

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: 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

Autoren: Foivos Alimisis Yousef Saad Bart Vandereycken

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Yongcun Song Xiaoming Yuan Hangrui Yue

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Kristian Bredies Marcello Carioni Martin Holler et al.

Quelle: 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

Schlagwörter: 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

Dateibeschreibung: application/xml; application/pdf

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