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

62 papers

math.FA2023★ 3 cited

Phase retrieval in Fock space and perturbation of Liouville sets

Philipp Grohs, Lukas Liehr, Martin Rathmair

We study the determination of functions in Fock space from samples of their absolute value, known as the phase retrieval problem in Fock space. An important finding in this researc…

physics.chem-ph2023★ 1 cited

Variational Monte Carlo on a Budget -- Fine-tuning pre-trained Neural Wavefunctions

Michael Scherbela, Leon Gerard, Philipp Grohs

Obtaining accurate solutions to the Schrödinger equation is the key challenge in computational quantum chemistry. Deep-learning-based Variational Monte Carlo (DL-VMC) has recently…

cs.LG2023★ 7 cited

FakET: Simulating Cryo-Electron Tomograms with Neural Style Transfer

Pavol Harar, Lukas Herrmann, Philipp Grohs +1

In cryo-electron microscopy, accurate particle localization and classification are imperative. Recent deep learning solutions, though successful, require extensive training data se…

physics.comp-ph2023★ 3 cited

Towards a Foundation Model for Neural Network Wavefunctions

Michael Scherbela, Leon Gerard, Philipp Grohs

Deep neural networks have become a highly accurate and powerful wavefunction ansatz in combination with variational Monte Carlo methods for solving the electronic Schrödinger equat…

math.FA2022★ 5 cited

From completeness of discrete translates to phaseless sampling of the short-time Fourier transform

Philipp Grohs, Lukas Liehr, Irina Shafkulovska

We study the uniqueness problem in short-time Fourier transform phase retrieval by exploring a connection to the completeness problem of discrete translates. Specifically, we prove…

math.FA2022★ 4 cited

Phaseless sampling on square-root lattices

Philipp Grohs, Lukas Liehr

Due to its appearance in a remarkably wide field of applications, such as audio processing and coherent diffraction imaging, the short-time Fourier transform (STFT) phase retrieval…