Cover Image

Neural network-based singularity detection and applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Derevianko, Nadiia, Kevrekidis, Ioannis G., Dietrich, Felix
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 30D30, 30E10, 41A20, 65D15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Computation of Zolotarev rational functions
by: Trefethen, Lloyd N., et al.
Published: (2024)

On the best convergence rates of lightning plus polynomial approximations
by: Xiang, Shuhuang, et al.
Published: (2023)

Lightning Plus Polynomial Approximation: Optimal Root-Exponential Convergence for Singular Functions in Corner Domains
by: Xiang, Shuhuang, et al.
Published: (2026)

The root-exponential convergence of lightning plus polynomial approximation on corner domains
by: Xiang, Shuhuang, et al.
Published: (2024)

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

Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters
by: Cools, Ronald, et al.
Published: (2019)

Exact convergence rates of lightning plus polynomial approximation for branch singularities with uniform exponentially clustered poles
by: Xiang, Shuhuang, et al.
Published: (2025)

A lattice algorithm with multiple shifts for function approximation in Korobov spaces
by: Cai, Mou, et al.
Published: (2025)

Nonlinear stationary subdivision schemes that reproduce trigonometric functions
by: Donat, Rosa, et al.
Published: (2018)

Compression using Quasi-Interpolation
by: Buhmann, Martin, et al.
Published: (2024)

Approximating functions on ${\mathbb R}^+$ by exponential sums
by: Kuznetsov, Alexey, et al.
Published: (2025)

On the Approximation of Singular Functions by Series of Non-integer Powers
by: Zhao, Mohan, et al.
Published: (2023)

Approximation of the Hilbert Transform on the unit circle
by: Fermo, Luisa, et al.
Published: (2024)

How sharp are error bounds? --lower bounds on quadrature worst-case errors for analytic functions
by: Goda, Takashi, et al.
Published: (2024)

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

Hyperbolic trigonometric functions as approximation kernels and their properties II: Wavelets
by: Buhmann, M., et al.
Published: (2025)

Weighted least $\ell_p$ approximation on compact Riemannian manifolds
by: Li, Jiansong, et al.
Published: (2024)

Hyperinterpolation beyond exact cubature: a spectral multiplier approach
by: Wu, Hao-Ning
Published: (2026)

Recovery of rational functions via Hankel pencil method and sensitivities of the poles
by: Derevianko, Nadiia
Published: (2024)

Convergence analysis of Hermite approximations for analytic functions
by: Wang, Haiyong, et al.
Published: (2023)

A median QMC method for unbounded integrands over $\mathbb{R}^{s}$ in weighted unanchored Sobolev spaces
by: Ye, Ziyang, et al.
Published: (2025)

Error Estimates for Gauss--Christoffel Quadrature under Reduced Regularity Conditions
by: Hamzehnejad, Mehdi, et al.
Published: (2025)

Efficient computation of the Wright function and its applications to fractional diffusion-wave equations
by: Aceto, Lidia, et al.
Published: (2022)

A Bivariate Spline Construction of Orthonormal Polynomials over Polygonal Domains and Its Applications to Quadrature
by: Lai, Ming-Jun
Published: (2026)

Trajectory-Based RBF Collocation Method for Surface Advection-Diffusion Equations
by: Li, Xiaobin, et al.
Published: (2026)

Local Regularity Estimation through Sobolev-Scale Norm Profile
by: Li, Xiaobin, et al.
Published: (2026)

Error inequalities for an optimal 3-point quadrature formula of closed type
by: Ujevic, Nenad
Published: (2003)

Quasi-interpolation using generalized Gaussian kernels
by: Gao, Wenwu, et al.
Published: (2024)

Adaptive integration of 5-convex and 5-concave functions
by: Wąsowicz, Szymon
Published: (2026)

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

Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction
by: Aumann, Quirin, et al.
Published: (2023)

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

Differential approximation of the Gaussian by short cosine sums with exponential error decay
by: Derevianko, Nadiia, et al.
Published: (2023)

Amplitude maximization in stable systems, Schur positivity, and some conjectures on polynomial interpolation
by: Ostrovskii, Dmitrii M., et al.
Published: (2025)

Parameter estimation for multivariate exponential sums via iterative rational approximation
by: Derevianko, Nadiia, et al.
Published: (2025)

Refinement of the theory and convergence of the Sinc convolution -- beyond Stenger's conjecture
by: Okayama, Tomoaki
Published: (2025)

Double-Exponential transformation: A quick review of a Japanese tradition
by: Murota, Kazuo, et al.
Published: (2023)

Error bounds for numerical differentiation using kernels of finite smoothness
by: Davydov, Oleg
Published: (2025)

Comparative study on higher order compact RBF-FD formulas with Gaussian and Multiquadric radial functions
by: Yadav, Manoj Kumar, et al.
Published: (2024)

Sectorial Paley-Wiener Theorem
by: Vagharshakyan, Armen
Published: (2022)