arXiv Machine Learning By Ahmed Abdeljawad, Marcello Carioni, Elena Cordero

Approximation Rates for Metaplectic Neural Networks

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arXiv:2608. 08872v1 Announce Type: new Abstract: In this paper we develop quantitative approximation results for shallow neural networks constructed using a dictionary based on metaplectic operators.

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Approximation Rates for Metaplectic Neural Networks

In this paper we develop quantitative approximation results for shallow neural networks constructed using a dictionary based on metaplectic operators. First, we extend the concept of Barron spaces by considering a symplectically motivated extension of the Fourier transform, known as the metaplectic transform.