Cover Image

Shallow ReLU$^s$ Networks in $L^p$-Type and Sobolev Spaces: Approximation and Path-Norm Controlled Generalization

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Li, Weizhao, Liu, Fanghui, Shi, Lei
Format:	Preprint
Published:	2026
Subjects:	Machine Learning 41A25, 41A46, 68T07, 62G08 I.2.6; G.1.2; G.3
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Covering Numbers for Deep ReLU Networks with Applications to Function Approximation and Nonparametric Regression
by: Ou, Weigutian, et al.
Published: (2024)

On the Principles of ReLU Networks with One Hidden Layer
by: Huang, Changcun
Published: (2024)

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

Compressive sensing inspired self-supervised single-pixel imaging
by: Lu, Jijun, et al.
Published: (2026)

Deep Neural Networks with General Activations: Super-Convergence in Sobolev Norms
by: Yang, Yahong, et al.
Published: (2025)

VORT: Adaptive Power-Law Memory for NLP Transformers
by: Mlaiki, Nabil
Published: (2026)

Bayesian Neural Networks vs. Mixture Density Networks: Theoretical and Empirical Insights for Uncertainty-Aware Nonlinear Modeling
by: Ghosh, Riddhi Pratim, et al.
Published: (2025)

Exact ReLU realization of tensor-product refinement iterates
by: Gantumur, Tsogtgerel
Published: (2026)

Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev and Besov Spaces
by: Siegel, Jonathan W.
Published: (2022)

Data-driven quasi-interpolant spline surfaces for point cloud approximation
by: Raffo, Andrea, et al.
Published: (2019)

ReLU neural network approximation to piecewise constant functions
by: Cai, Zhiqiang, et al.
Published: (2024)

Entropy bounds for the absolute convex hull of tensors
by: van de Geer, Sara
Published: (2024)

The Pokémon Theorem and other Fairness Impossibility Results
by: Smola, Daniel Matsui, et al.
Published: (2026)

Divergence-free Linearized Neural Networks: Integral Representation and Optimal Approximation Rates
by: He, Juncai, et al.
Published: (2026)

Understanding Two-Layer Neural Networks with Smooth Activation Functions
by: Huang, Changcun
Published: (2025)

Initialization of a Polyharmonic Cascade, Launch and Testing
by: Bakhvalov, Yuriy N.
Published: (2025)

A General Weighting Theory for Ensemble Learning: Beyond Variance Reduction via Spectral and Geometric Structure
by: Fokoué, Ernest
Published: (2025)

Constant-Target Energy Matching: A Unified Framework for Continuous and Discrete Density Estimation
by: Zeng, Zhijun, et al.
Published: (2026)

Provable Adversarial Robustness in In-Context Learning
by: Zhang, Di
Published: (2026)

From interpretability to inference: an estimation framework for universal approximators
by: Joseph, Andreas
Published: (2019)

Approximation Rates for Shallow ReLU$^k$ Neural Networks on Sobolev Spaces via the Radon Transform
by: Mao, Tong, et al.
Published: (2024)

A Unified Framework for Critical Scaling of Inverse Temperature in Self-Attention
by: Hayase, Tomohiro, et al.
Published: (2026)

Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks
by: Siegel, Jonathan W.
Published: (2023)

Support-Conditioned Flow Matching Is Kernel Smoothing
by: Smola, Daniel Matsui
Published: (2026)

Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
by: Bolorkhuu, Boldsaikhan, et al.
Published: (2026)

The Optimality of Kernel Classifiers in Sobolev Space
by: Lai, Jianfa, et al.
Published: (2024)

Polyharmonic Spline Packages: Composition, Efficient Procedures for Computation and Differentiation
by: Bakhvalov, Yuriy N.
Published: (2025)

Active Learning for Conditional Generative Compressed Sensing
by: DeLise, Alexander, et al.
Published: (2026)

Weighted Sobolev Approximation Rates for Neural Networks on Unbounded Domains
by: Abdeljawad, Ahmed, et al.
Published: (2024)

PolyKAN: A Polyhedral Analysis Framework for Provable and Approximately Optimal KAN Compression
by: Zhang, Di
Published: (2025)

Ghosts of Softmax: Complex Singularities That Limit Safe Step Sizes in Cross-Entropy
by: Sao, Piyush
Published: (2026)

On Fibonacci Ensembles: An Alternative Approach to Ensemble Learning Inspired by the Timeless Architecture of the Golden Ratio
by: Fokoué, Ernest
Published: (2025)

Machine Collaboration
by: Liu, Qingfeng, et al.
Published: (2021)

Efficient Approximation to Analytic and $L^p$ functions by Height-Augmented ReLU Networks
by: Li, ZeYu, et al.
Published: (2026)

Multi-Head Attention as Ensemble Nadaraya-Watson Estimation: Variance Reduction, Decorrelation, and Optimal Head Diversity
by: Fokoué, Ernest
Published: (2026)

Chebyshev approximation of $x^m (-\log x)^l$ in the interval $0\le x \le 1$
by: Mathar, Richard J.
Published: (2024)

The best approximation pair problem relative to two subsets in a normed space
by: Reem, Daniel, et al.
Published: (2024)

CDFlow: Building Invertible Layers with Circulant and Diagonal Matrices
by: Feng, Xuchen, et al.
Published: (2025)

Transformers Can Overcome the Curse of Dimensionality: A Theoretical Study from an Approximation Perspective
by: Jiao, Yuling, et al.
Published: (2025)

Guessing sequences of eigenvectors for LMPs defining spectrahedral relaxations of Eulerian rigidly convex sets
by: Nevado, Alejandro González
Published: (2025)