Kolmogorov Width Decay and Poor Approximators in Machine Learning: Shallow Neural Networks, Random Feature Models and Neural Tangent Kernels

DOI10.1007/S40687-020-00233-4arXiv2005.10807MaRDI QIDQ6341191

E. Weinan, Stephan Wojtowytsch

Publication date: 21 May 2020

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by other special function classes (41A30)

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