Cover Image

Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Fabiani, Gianluca
Format:	Preprint
Published:	2024
Subjects:	Machine Learning Numerical Analysis 41A25, 41A30, 41A46, 41A50, 41A52, 65D15, 65Y20, 68W20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Optimality Conditions for Rational Minimax Approximations: Bridging Ruttan's Criteria to Dual-Based Methods
by: Zhang, Lei-Hong
Published: (2026)

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

Optimal approximation of infinite-dimensional holomorphic functions II: recovery from i.i.d. pointwise samples
by: Adcock, Ben, et al.
Published: (2023)

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

Interpolation constrained rational minimax approximation with barycentric representation
by: Zhang, Lei-Hong, et al.
Published: (2025)

A convergence analysis of Lawson's iteration for computing polynomial and rational minimax approximations
by: Zhang, Lei-Hong, et al.
Published: (2024)

Rational minimax approximation of matrix-valued functions
by: Zhang, Lei-Hong, et al.
Published: (2025)

A study on $\mr{F}$-simultaneous approximative $τ$-compactness property in Banach spaces
by: Das, Syamantak, et al.
Published: (2025)

Christoffel Adaptive Sampling for Sparse Random Feature Expansions
by: Adcock, Ben, et al.
Published: (2026)

Characterizations of some rotundity properties in terms of farthest points
by: C, Arunachala Prasath, et al.
Published: (2024)

High-dimensional sparse trigonometric approximation in the uniform norm and consequences for sampling recovery
by: Moeller, Moritz, et al.
Published: (2024)

The error of Chebyshev approximations on shrinking domains
by: Jawecki, Tobias
Published: (2024)

Deep ReLU networks and high-order finite element methods II: Chebyshev emulation
by: Opschoor, Joost A. A., et al.
Published: (2023)

Multivariate Interpolation in Unisolvent Nodes -- Lifting the Curse of Dimensionality
by: Hecht, Michael, et al.
Published: (2020)

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

Error Guarantees for Least Squares Approximation with Noisy Samples in Domain Adaptation
by: Bartel, Felix
Published: (2022)

Best Approximations on Quasi-Cone Metric Spaces
by: Zakiyudin, Ahmad Hisbu, et al.
Published: (2025)

Function values are enough for $L_2$-approximation: Part II
by: Krieg, David, et al.
Published: (2020)

Weighted approximate sampling recovery and integration based on B-spline interpolation and quasi-interpolation
by: Dũng, Dinh
Published: (2025)

RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators
by: Fabiani, Gianluca, et al.
Published: (2024)

Approximation Error and Complexity Bounds for ReLU Networks on Low-Regular Function Spaces
by: Davis, Owen, et al.
Published: (2024)

Taylor-Accelerated Neural Network Interpolation Operators on Irregular Grids with Higher Order Approximation
by: Saini, Sachin
Published: (2026)

A study on various generalizations of Generalized centers $\bm{(GC)}$ in Banach spaces
by: Das, Syamantak, et al.
Published: (2023)

Neural Network Operator-Based Fractal Approximation: Smoothness Preservation and Convergence Analysis
by: Bhat, Aaqib Ayoub, et al.
Published: (2025)

Sampling and entropy numbers in the uniform norm
by: Ullrich, Mario
Published: (2025)

Approximation by quadrilateral finite elements
by: Arnold, Douglas N., et al.
Published: (2000)

Twenty-five years of greedy bases
by: Albiac, Fernando, et al.
Published: (2024)

Explicit Construction of Approximate Kolmogorov Superpositions with C2 Smoothness
by: Song, Lunji, et al.
Published: (2025)

Quasi-interpolation for high-dimensional function approximation
by: Gao, Wenwu, et al.
Published: (2024)

Doubling the rate -- improved error bounds for orthogonal projection with application to interpolation
by: Sloan, Ian H., et al.
Published: (2023)

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

A Universal Approximation Theorem for Neural Networks with Outputs in Locally Convex Spaces
by: Saini, Sachin
Published: (2026)

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

Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexity
by: Führer, Thomas, et al.
Published: (2026)

Error autocorrection in rational approximation and interval estimates
by: Litvinov, Grigori L.
Published: (2002)

A convex dual problem for the rational minimax approximation and Lawson's iteration
by: Zhang, Lei-Hong, et al.
Published: (2023)

Time-Frequency Analysis for Neural Networks
by: Abdeljawad, Ahmed, et al.
Published: (2025)

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

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

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