Copertina

Randomized Radial Basis Function Neural Network for Solving Multiscale Elliptic Equations

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Wu, Yuhang, Liu, Ziyuan, Sun, Wenjun, Qian, Xu
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Numerical Analysis 65N30, 41A46
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Exact inequalities and optimal recovery by inaccurate information
di: Osipenko, K. Yu.
Pubblicazione: (2025)

Optimal recovery of linear operators from information of random functions
di: Osipenko, K. Yu.
Pubblicazione: (2024)

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems
di: Engwer, Christian, et al.
Pubblicazione: (2025)

A theoretical analysis on the inversion of matrices via Neural Networks designed with Strassen algorithm
di: Romera, Gonzalo, et al.
Pubblicazione: (2025)

Preconditioning and Numerical Stability in Neural Network Training for Parametric PDEs
di: Bachmayr, Markus, et al.
Pubblicazione: (2026)

Entropy-based convergence rates of greedy algorithms
di: Li, Yuwen, et al.
Pubblicazione: (2023)

Discontinuous piecewise polynomial approximation on non-Lipschitz domains
di: Hewett, D P
Pubblicazione: (2025)

Tree-Adaptive Multiscale Kernel Lasso in Samplet Coordinates
di: Avesani, Sara, et al.
Pubblicazione: (2026)

An iterative method for the solution of Laplace-like equations in high and very high space dimensions
di: Yserentant, Harry
Pubblicazione: (2024)

$p$-Robust Trace Liftings for Discrete Harmonic Extensions and Boundary-Preserving $hp$ Interpolation on Tetrahedral Meshes
di: Li, Situan, et al.
Pubblicazione: (2026)

Compositional maps for registration in complex geometries
di: Taddei, Tommaso
Pubblicazione: (2023)

Exponential Expressivity of ReLU$^k$ Neural Networks on Gevrey Classes with Point Singularities
di: Opschoor, Joost A. A., et al.
Pubblicazione: (2024)

Simultaneous spatial-parametric collocation approximation for parametric PDEs with log-normal random inputs
di: Dũng, Dinh
Pubblicazione: (2025)

Adaptive Randomized Neural Networks with Locally Activation Function: Theory and Algorithm for Solving PDEs
di: Bi, Ran, et al.
Pubblicazione: (2026)

Randomized Greedy Algorithms for Neural Network Optimization
di: Xu, Jinchao, et al.
Pubblicazione: (2024)

A Construction of $C^{r}$ Conforming Finite Elements on the Alfeld Split in Any Dimension
di: Lin, Ting, et al.
Pubblicazione: (2026)

Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications
di: Fabiani, Gianluca
Pubblicazione: (2024)

Trace-Preserving hp Interpolation and Polynomial Liftings on Conforming Hexahedral Meshes
di: Li, Situan, et al.
Pubblicazione: (2026)

Optimal Transport-inspired Deep Learning Framework for Slow-Decaying Kolmogorov n-width Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel
di: Khamlich, Moaad, et al.
Pubblicazione: (2023)

Optimal convergence of local discontinuous Galerkin methods for convection-diffusion equations
di: Liu, Wenjie, et al.
Pubblicazione: (2026)

A Low Rank Neural Representation of Entropy Solutions
di: Rim, Donsub, et al.
Pubblicazione: (2024)

Adaptive methods for PDE's: wavelets or mesh refinement?
di: Cohen, Albert
Pubblicazione: (2002)

Sampling recovery in Bochner spaces and applications to parametric PDEs
di: Bartel, Felix, et al.
Pubblicazione: (2024)

A discontinuous Galerkin method for elliptic-hyperbolic equations
di: Perinati, Chiara, et al.
Pubblicazione: (2026)

Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems
di: Imbert-Gérard, Lise-Marie, et al.
Pubblicazione: (2024)

Superconvergence of differential structure for finite element methods on perturbed surface meshes
di: Dong, Guozhi, et al.
Pubblicazione: (2019)

First Order System Least Squares Neural Networks
di: Opschoor, Joost A. A., et al.
Pubblicazione: (2024)

Fast Operator-Splitting Methods for Nonlinear Elliptic Equations
di: Yang, Jingyu, et al.
Pubblicazione: (2025)

Adaptive Computation of Elliptic Eigenvalue Topology Optimization with a Phase-Field Approach
di: Li, Jing, et al.
Pubblicazione: (2023)

Newton's method in adaptive iteratively linearized FEM
di: Bringmann, Philipp, et al.
Pubblicazione: (2025)

Multigoal-oriented adaptive finite element method with convergence rates
di: Becker, Roland, et al.
Pubblicazione: (2026)

On full linear convergence and optimal complexity of adaptive FEM with inexact solver
di: Bringmann, Philipp, et al.
Pubblicazione: (2023)

Quasi-optimal complexity of iterative Galerkin methods driven by an elliptic reconstruction error estimator
di: Brunner, Maximilian, et al.
Pubblicazione: (2026)

Iterative solvers in adaptive FEM
di: Bringmann, Philipp, et al.
Pubblicazione: (2024)

Sparse and low-rank approximations of parametric elliptic PDEs: the best of both worlds
di: Bachmayr, Markus, et al.
Pubblicazione: (2025)

Neural empirical interpolation method for nonlinear model reduction
di: Hirsch, Max, et al.
Pubblicazione: (2024)

Structure-Preserving Reconstruction of Convex Lipschitz Functionals on Hilbert Spaces from Finite Samples
di: Kratsios, Anastasis
Pubblicazione: (2026)

A monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equation
di: Jeong, SeongHee, et al.
Pubblicazione: (2025)

Inverse Electromagnetic Scattering for Doubly-Connected Cylinders using Convolutional Neural Networks
di: Mindrinos, Leonidas, et al.
Pubblicazione: (2025)

An unfitted HDG discretization for a model problem in shape optimization
di: Henríquez, Esteban, et al.
Pubblicazione: (2025)