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2020 – today
- 2024
[i9]Julia Ackermann, Arnulf Jentzen, Benno Kuckuck, Joshua Lee Padgett:
Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for space-time solutions of semilinear partial differential equations. CoRR abs/2406.10876 (2024)- [i8]Lukas Gonon, Arnulf Jentzen, Benno Kuckuck, Siyu Liang
, Adrian Riekert, Philippe von Wurstemberger:
An Overview on Machine Learning Methods for Partial Differential Equations: from Physics Informed Neural Networks to Deep Operator Learning. CoRR abs/2408.13222 (2024) - 2023
- [i7]Julia Ackermann, Arnulf Jentzen, Thomas Kruse, Benno Kuckuck, Joshua Lee Padgett:
Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz nonlinearities in the Lp-sense. CoRR abs/2309.13722 (2023) - [i6]Arnulf Jentzen, Benno Kuckuck, Philippe von Wurstemberger:
Mathematical Introduction to Deep Learning: Methods, Implementations, and Theory. CoRR abs/2310.20360 (2023) - 2022
- [i5]Victor Boussange, Sebastian Becker, Arnulf Jentzen, Benno Kuckuck, Loïc Pellissier:
Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions. CoRR abs/2205.03672 (2022) - 2021
- [i4]Martin Hutzenthaler, Arnulf Jentzen, Benno Kuckuck, Joshua Lee Padgett:
Strong Lp-error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations. CoRR abs/2110.08297 (2021) - [i3]Pierfrancesco Beneventano, Patrick Cheridito, Robin Graeber, Arnulf Jentzen, Benno Kuckuck:
Deep neural network approximation theory for high-dimensional functions. CoRR abs/2112.14523 (2021) - 2020
- [i2]Christian Beck, Martin Hutzenthaler, Arnulf Jentzen, Benno Kuckuck:
An overview on deep learning-based approximation methods for partial differential equations. CoRR abs/2012.12348 (2020)
2010 – 2019
- 2019
- [j1]Benno Kuckuck, Jörg Rothe:
Duplication monotonicity in the allocation of indivisible goods. AI Commun. 32(4): 253-270 (2019) - [c3]Benno Kuckuck, Jörg Rothe, Anke Weißenfeld:
Refugee Allocation in the Setting of Hedonic Games. ADT 2019: 65-80 - [i1]Christian Beck, Arnulf Jentzen, Benno Kuckuck:
Full error analysis for the training of deep neural networks. CoRR abs/1910.00121 (2019) - 2018
- [c2]Benno Kuckuck, Jörg Rothe:
Monotonicity, Duplication Monotonicity, and Pareto Optimality in the Scoring-Based Allocation of Indivisible Goods. AT 2018: 173-189 - [c1]Benno Kuckuck, Jörg Rothe:
Sequential Allocation Rules are Separable: Refuting a Conjecture on Scoring-Based Allocation of Indivisible Goods. AAMAS 2018: 650-658
Coauthor Index
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