Sobolev-type embeddings for neural network approximation spaces

DOI10.1007/s00365-022-09598-xzbMath1529.41029arXiv2110.15304MaRDI QIDQ6381577

Philipp Grohs, Felix Voigtlaender

Publication date: 28 October 2021

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Numerical interpolation (65D05) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

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