Quasi-Monte Carlo Integration for Affine-Parametric, Elliptic PDEs: Local Supports and Product Weights. - Robert N. Gantner; Lukas Herrmann; Christoph Schwab (SIAM J. Numer. Anal., 2018)

Development of a Dynamic Electronic Speed Controller for Multicopters. - Lukas Herrmann; Tobias Bruckmann; Markus Bröcker; Dieter Schramm (ECC, 2019)

Uncertainty Quantification for Spectral Fractional Diffusion: Sparsity Analysis of Parametric Solutions. - Lukas Herrmann; Christoph Schwab; Jakob Zech (SIAM/ASA J. Uncertain. Quantification, 2019)

QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights. - Lukas Herrmann; Christoph Schwab (Numerische Mathematik, 2019)

Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions. - Philipp Grohs; Lukas Herrmann (CoRR, 2020)

Deep neural network approximation for high-dimensional parabolic Hamilton-Jacobi-Bellman equations. - Philipp Grohs; Lukas Herrmann (CoRR, 2021)

Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems. - Lukas Herrmann; Magdalena Keller; Christoph Schwab (Math. Comput., 2021)

Neural and gpc operator surrogates: construction and expression rate bounds. - Lukas Herrmann; Christoph Schwab; Jakob Zech (CoRR, 2022)

Constructive Deep ReLU Neural Network Approximation. - Lukas Herrmann; Joost A. A. Opschoor; Christoph Schwab (J. Sci. Comput., 2022)

Simulation-Based Comparison of Novel Automated Construction Systems. - Lukas Herrmann; Roland Boumann; Mario Lehmann; Samuel Müller 004; Tobias Bruckmann (Robotics, 2022)

FakET: Simulating Cryo-Electron Tomograms with Neural Style Transfer. - Pavol Harár; Lukas Herrmann; Philipp Grohs; David Haselbach (CoRR, 2023)

Coherent Integration of Optical Flow for Track-Before-Detect Radar Detection. - Lukas Herrmann; Edmund Førland Brekke; Egil Eide (FUSION, 2024)

Analysis of RHC for Stabilization of Nonautonomous Parabolic Equations Under Uncertainty. - Behzad Azmi; Lukas Herrmann; Karl Kunisch (SIAM J. Control. Optim., 2024)

The fast reduced QMC matrix-vector product. - Josef Dick; Adrian Ebert; Lukas Herrmann; Peter Kritzer; Marcello Longo (J. Comput. Appl. Math., 2024)

Neural and spectral operator surrogates: unified construction and expression rate bounds. - Lukas Herrmann; Christoph Schwab; Jakob Zech (Adv. Comput. Math., 2024)

Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction. - Helmut Harbrecht; Lukas Herrmann; Kristin Kirchner; Christoph Schwab (Adv. Comput. Math., 2024)