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

As of 19 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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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

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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

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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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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

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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

Reference 19

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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

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

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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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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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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 ac725acf-62f2-4e54-8ba8-3402e1f5f81f · outbound

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Observation 2544f9bf-47ad-4d28-a963-a32143f26286 · outbound

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Observation fa3709e2-6af5-4766-bfc3-203443a46126 · outbound

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Observation 32fe8460-839d-40d6-b830-85cb88d63a5a · outbound

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Observation 2d29a7a5-042b-4197-ac6c-cc34ddf161b0 · outbound

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Observation b57d0dd7-8143-411c-a7f1-1d7c6af9b00c · outbound

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

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Observation e4ba5c5b-fe2c-4e40-b2b7-249a06e0a45e · outbound

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Observation 82d03a59-3b5d-4b41-bbf5-762c71f47da0 · outbound

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Observation f92875b1-abfb-47e3-a922-5472d663c8fc · outbound

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Observation 0af3ebc6-9feb-4e96-9f92-416e63c3511f · outbound

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

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Observation e2d67893-4d38-468c-a4b8-b2d43687ea2e · outbound

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

Reference 70

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Observation f438cc78-577d-4e54-a4f9-0faa68343bfe · outbound

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

Reference 71

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Observation 644c0834-339b-4850-8809-55e5db4b740f · outbound

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

Reference 72

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