Follow
Benno Kuckuck
Benno Kuckuck
Postdoc in Mathematics, Westfälische Wilhelms-Universität Münster
Verified email at wwu.de - Homepage
Title
Cited by
Cited by
Year
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
1552020
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
582022
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
522021
Subdirect products of groups and the n-(n+1)-(n+2) conjecture
B Kuckuck
The Quarterly Journal of Mathematics 65 (4), 1293-1318, 2014
252014
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
142022
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
102021
Strong -error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations
M Hutzenthaler, A Jentzen, B Kuckuck, JL Padgett
arXiv preprint arXiv:2110.08297, 2021
92021
Mathematical Introduction to Deep Learning: Methods, Implementations, and Theory
A Jentzen, B Kuckuck, P von Wurstemberger
arXiv preprint arXiv:2310.20360, 2023
82023
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
72023
Duplication monotonicity in the allocation of indivisible goods
B Kuckuck, J Rothe
AI Communications 32 (4), 253-270, 2019
52019
The Magnus property for direct products
B Klopsch, B Kuckuck
Archiv der Mathematik 107 (4), 379-388, 2016
52016
Sequential Allocation Rules are Separable: Refuting a Conjecture on Scoring-Based Allocation of Indivisible Goods.
B Kuckuck, J Rothe
AAMAS, 650-658, 2018
32018
Finiteness properties of fibre products
B Kuckuck
University of Oxford, 2012
32012
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
22021
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
22020
Refugee Allocation in the Setting of Hedonic Games
B Kuckuck, J Rothe, A Weißenfeld
International Conference on Algorithmic DecisionTheory, 65-80, 2019
12019
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
The system can't perform the operation now. Try again later.
Articles 1–19