An overview on deep learning-based approximation methods for partial differential equations C Beck, M Hutzenthaler, A Jentzen, B Kuckuck
arXiv preprint arXiv:2012.12348, 2020
192 2020 Full error analysis for the training of deep neural networks C Beck, A Jentzen, B Kuckuck
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2150020, 2022
63 2022 Strong error analysis for stochastic gradient descent optimization algorithms A Jentzen, B Kuckuck, A Neufeld, P von Wurstemberger
IMA Journal of Numerical Analysis 41 (1), 455-492, 2021
62 2021 Subdirect products of groups and the n-(n+1)-(n+2) conjecture B Kuckuck
The Quarterly Journal of Mathematics 65 (4), 1293-1318, 2014
26 2014 Mathematical Introduction to Deep Learning: Methods, Implementations, and Theory A Jentzen, B Kuckuck, P von Wurstemberger
arXiv preprint arXiv:2310.20360, 2023
24 2023 Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions V Boussange, S Becker, A Jentzen, B Kuckuck, L Pellissier
arXiv preprint arXiv:2205.03672, 2022
17 2022 Strong M Hutzenthaler, A Jentzen, B Kuckuck, JL Padgett
arXiv preprint arXiv:2110.08297, 2021
12 2021 Deep neural network approximation theory for high-dimensional functions P Beneventano, P Cheridito, R Graeber, A Jentzen, B Kuckuck
arXiv preprint arXiv:2112.14523, 2021
11 2021 Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz … J Ackermann, A Jentzen, T Kruse, B Kuckuck, JL Padgett
arXiv preprint arXiv:2309.13722, 2023
9 2023 The Magnus property for direct products B Klopsch, B Kuckuck
Archiv der Mathematik 107 (4), 379-388, 2016
6 2016 Duplication monotonicity in the allocation of indivisible goods B Kuckuck, J Rothe
AI Communications 32 (4), 253-270, 2019
5 2019 Refugee Allocation in the Setting of Hedonic Games B Kuckuck, J Rothe, A Weißenfeld
International Conference on Algorithmic DecisionTheory, 65-80, 2019
3 2019 Sequential Allocation Rules are Separable: Refuting a Conjecture on Scoring-Based Allocation of Indivisible Goods. B Kuckuck, J Rothe
AAMAS, 650-658, 2018
3 2018 Finiteness properties of fibre products B Kuckuck
University of Oxford, 2012
3 2012 On the strong regularity of degenerate additive noise driven stochastic differential equations with respect to their initial values A Jentzen, B Kuckuck, T Müller-Gronbach, L Yaroslavtseva
Journal of Mathematical Analysis and Applications 502 (2), 125240, 2021
2 2021 Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven SDEs with smooth drift coefficient functions with at … A Jentzen, B Kuckuck, T Müller-Gronbach, L Yaroslavtseva
arXiv preprint arXiv:2001.03472, 2020
2 2020 Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven stochastic differential equations with smooth drift … A Jentzen, B Kuckuck, T Müller-Gronbach, L Yaroslavtseva
Discrete & Continuous Dynamical Systems-B, 2021
2021 Monotonicity, Duplication Monotonicity, and Pareto Optimality in the Scoring-Based Allocation of Indivisible Goods B Kuckuck, J Rothe
International Conference on Agreement Technologies, 173-189, 2018
2018 Zusammenhangseigenschaften von Operationen nicht-endlich erzeugter Gruppen auf CAT(0)-Räumen B Kuckuck
Johann Wolfgang Goethe-Universität, Frankfurt am Main, 2007
2007 
Arnulf JentzenThe Chinese University of Hong Kong, Shenzhen (CUHK-Shenzhen) & University of MünsterEmail verificata su uni-muenster.de