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researcher

P. Grohs

62 papers hereh-index 353.9k citations137 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • first author28
  • middle author18
  • last author12

Across the 60 of 62 papers where every author was matched, so the position is known.

fields
  • math.FA26
  • cs.LG15
  • math.NA12
  • math.DG2
  • physics.comp-ph2
  • cs.IT1

identity via Semantic Scholar / OpenAlex

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

collaborators
Showing 2021 · math.FAShow all

4 papers · 2 filters

math.FA2021★ 30 cited

On foundational discretization barriers in STFT phase retrieval

Philipp Grohs, Lukas Liehr

We prove that there exists no window function g∈L2(R) and no lattice L⊂R2 such that every f∈L2(R) is determined up to…

math.FA2021

Sobolev-type embeddings for neural network approximation spaces

Philipp Grohs, Felix Voigtlaender

We consider neural network approximation spaces that classify functions according to the rate at which they can be approximated (with error measured in Lp) by ReLU neural networ…

math.FA2021★ 9 cited

Stable Gabor phase retrieval in Gaussian shift-invariant spaces via biorthogonality

Philipp Grohs, Lukas Liehr

We study the phase reconstruction of signals f belonging to complex Gaussian shift-invariant spaces V∞(φ) from spectrogram measurements ∣Gf(X)∣ where $\mathc…

math.FA2021★ 1 cited

L2-stability analysis for Gabor phase retrieval

Philipp Grohs, Martin Rathmair

We consider the problem of reconstructing the missing phase information from spectrogram data ∣Gf∣, with $$ \mathcal{G}f(x,y)=\int_\mathbb{R} f(t) e^{-π(t-x)^2}e^{-2πi…

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