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Jonathan W. Siegel

On the expressiveness and spectral bias of KANs

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Oct 02, 2024
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Approximation Rates for Shallow ReLU$^k$ Neural Networks on Sobolev Spaces via the Radon Transform

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Aug 20, 2024
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Equivariant Frames and the Impossibility of Continuous Canonicalization

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Feb 25, 2024
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A qualitative difference between gradient flows of convex functions in finite- and infinite-dimensional Hilbert spaces

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Oct 26, 2023
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Weighted variation spaces and approximation by shallow ReLU networks

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Jul 28, 2023
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Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks

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Jul 28, 2023
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Sharp Convergence Rates for Matching Pursuit

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Jul 25, 2023
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Sharp Lower Bounds on Interpolation by Deep ReLU Neural Networks at Irregularly Spaced Data

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Feb 02, 2023
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Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev Spaces

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Nov 25, 2022
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On the Activation Function Dependence of the Spectral Bias of Neural Networks

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Aug 10, 2022
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