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Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks

As of 17 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 0 inbound Pith citation observations for arXiv:2606.24795.

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2606.24795 v1

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measured 72 of 72 reference resolution

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Outbound references

Observation 46ee1a94-fa2b-4f65-8351-19e5411cac3f · outbound

This paper cites Adams and John J.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Adams and John J

Reference 1

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This paper cites Kalton.Topics in Banach Space Theory, volume 233 ofGraduate Texts in Mathematics.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Kalton.Topics in Banach Space Theory, volume 233 ofGraduate Texts in Mathematics

Reference 2

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This paper cites Breaking the Curse of Dimensionality with Convex Neural Net- works.Journal of Machine Learning Research, 18(19):1–53, 2017.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Breaking the Curse of Dimensionality with Convex Neural Net- works.Journal of Machine Learning Research, 18(19):1–53, 2017

Reference 3

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This paper cites On the Equivalence between Kernel Quadrature Rules and Ran- dom Feature Expansions.Journal of Machine Learning Research, 18(21):1–38, 2017.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks On the Equivalence between Kernel Quadrature Rules and Ran- dom Feature Expansions.Journal of Machine Learning Research, 18(21):1–38, 2017

Reference 4

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Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Unresolved cited work

Reference 5

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This paper cites Understanding Neural Networks with Reproducing Kernel Banach Spaces.Ap- plied and Computational Harmonic Analysis, 62:194–236, January 2023.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Understanding Neural Networks with Reproducing Kernel Banach Spaces.Ap- plied and Computational Harmonic Analysis, 62:194–236, January 2023

Reference 6

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This paper cites A Duality Framework for Analyzing Random Feature and Two-Layer Neural Networks.The Annals of Statistics, 53(3):1044–1067, June 2025.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks A Duality Framework for Analyzing Random Feature and Two-Layer Neural Networks.The Annals of Statistics, 53(3):1044–1067, June 2025

Reference 7

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This paper cites Functional Analysis and Partial Differential Equations in Spectral Barron Spaces, July 2025.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Functional Analysis and Partial Differential Equations in Spectral Barron Spaces, July 2025

Reference 8

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This paper cites Applied and Numerical Harmonic Analysis.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Applied and Numerical Harmonic Analysis

Reference 9

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Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Unresolved cited work

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This paper cites Neural Network Approx- imation.Acta Numerica, 30:327–444, May 2021.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Neural Network Approx- imation.Acta Numerica, 30:327–444, May 2021

Reference 11

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Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Unresolved cited work

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Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks DeVore, Ralph Howard, and Charles Micchelli

Reference 13

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This paper cites American Mathematical Society, Providence, Rhode Island, De- cember 2000.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks American Mathematical Society, Providence, Rhode Island, De- cember 2000

Reference 14

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This paper cites The Barron Space and the Flow-Induced Function Spaces for Neural Network Models.Constructive Approximation, 55(1):369–406, February 2022.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks The Barron Space and the Flow-Induced Function Spaces for Neural Network Models.Constructive Approximation, 55(1):369–406, February 2022

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This paper cites Friedlander and Mark S.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Friedlander and Mark S

Reference 16

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This paper cites London Mathematical Society Lecture Note Series.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks London Mathematical Society Lecture Note Series

Reference 17

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This paper cites Guillemin and S.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Guillemin and S

Reference 18

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This paper cites Divergence-free Linearized Neural Networks: Integral Representation and Optimal Approximation Rates, 2026.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Divergence-free Linearized Neural Networks: Integral Representation and Optimal Approximation Rates, 2026

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This paper cites Springer, New York, NY, 2010.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Springer, New York, NY, 2010

Reference 20

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This paper cites Existence and Approximation of Solutions of Differential Equations.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Existence and Approximation of Solutions of Differential Equations

Reference 21

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This paper cites Lagrangian Distributions and Fourier Integral Operators.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Lagrangian Distributions and Fourier Integral Operators

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This paper cites Approximation Capabilities of Multilayer Feedforward Networks.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Approximation Capabilities of Multilayer Feedforward Networks

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Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Unresolved cited work

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This paper cites Klusowski and Andrew R.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Klusowski and Andrew R

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This paper cites John Wiley & Sons, 2014.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks John Wiley & Sons, 2014

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This paper cites Springer, Berlin, Heidelberg, 1991.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Springer, Berlin, Heidelberg, 1991

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This paper cites Lin, Allan Pinkus, and Shimon Schocken.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Lin, Allan Pinkus, and Shimon Schocken

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This paper cites Pereverzev.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Pereverzev

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This paper cites Spectral Barron Space for Deep Neural Network Approximation.SIAM Journal on Mathematics of Data Science, July 2025.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Spectral Barron Space for Deep Neural Network Approximation.SIAM Journal on Mathematics of Data Science, July 2025

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Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Integral Representations of Sobolev Spaces via ReLU$^k$ Activation Function and Optimal Error Estimates for Linearized Networks

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This paper cites Deep Network Approximation for Smooth Functions.SIAM Journal on Mathematical Analysis, 53(5):5465–5506, January 2021.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Deep Network Approximation for Smooth Functions.SIAM Journal on Mathematical Analysis, 53(5):5465–5506, January 2021

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This paper cites The Radon Transform on Euclidean Space.Communications on Pure and Applied Mathematics, 19(1):49–81, 1966.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks The Radon Transform on Euclidean Space.Communications on Pure and Applied Mathematics, 19(1):49–81, 1966

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This paper cites Siegel, and Jinchao Xu.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Siegel, and Jinchao Xu

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Observation 05bde11f-c158-48a7-83d9-3ac8932f60a6 · outbound

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This paper cites Finite Neuron Method and Convergence Analysis.Communications in Computational Physics, 28(5):1707–1745, January 2020.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Finite Neuron Method and Convergence Analysis.Communications in Computational Physics, 28(5):1707–1745, January 2020

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This paper cites On the Optimal Approximation of Sobolev and Besov Functions Using Deep ReLU Neural Networks.Applied and Computational Harmonic Analysis, 79:101797, October 2025.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks On the Optimal Approximation of Sobolev and Besov Functions Using Deep ReLU Neural Networks.Applied and Computational Harmonic Analysis, 79:101797, October 2025

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This paper cites Optimal Rates of Approximation by Shal- low ReLU k Neural Networks and Applications to Nonparametric Regression.

Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain $L^p$ Ridge Integral Spaces for ReLU$^k$ Networks Optimal Rates of Approximation by Shal- low ReLU k Neural Networks and Applications to Nonparametric Regression

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