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math.FA2026
Maximally Spread Out Measures and Implications for Phase Transitions in Approximation Theory
Hannes Matt, Erwin Riegler, Felix Voigtlaender
We establish the existence of a "maximally spread out" Borel probability measure on a totally bounded subset $\SC$ of a (…
math.FA2023★ 1 cited
Universal approximation with complex-valued deep narrow neural networks
Paul Geuchen, Thomas Jahn, Hannes Matt
We study the universality of complex-valued neural networks with bounded widths and arbitrary depths. Under mild assumptions, we give a full description of those activation functio…