P. Grohs

activity

20092023

most citedA proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations

153 citations · 899 across the 45 of their papers we have counts for

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Showing 2020 · math.FAShow all

2 papers · 2 filters

math.FA2020

Phase Transitions in Rate Distortion Theory and Deep Learning

Philipp Grohs, Andreas Klotz, Felix Voigtlaender

Rate distortion theory is concerned with optimally encoding a given signal class $S$ using a budget of $R$ bits, as $R \to \infty$ . We say that $S$ can be compres…

math.FA2020★ 29 cited

Injectivity of Gabor phase retrieval from lattice measurements

Philipp Grohs, Lukas Liehr

We establish novel uniqueness results for the Gabor phase retrieval problem: if $G : L^{2} (R) \to L^{2} (R^{2})$ denotes the Gabor transform then every $f \in…