Benno Kuckuck

According to our database, Benno Kuckuck authored at least 13 papers between 2018 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

An Overview on Machine Learning Methods for Partial Differential Equations: from Physics Informed Neural Networks to Deep Operator Learning.

Lukas Gonon, Arnulf Jentzen, Benno Kuckuck, Siyu Liang, Adrian Riekert, Philippe von Wurstemberger

CoRR, 2024

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.

Julia Ackermann, Arnulf Jentzen, Benno Kuckuck, Joshua Lee Padgett

CoRR, 2024

2023

Mathematical Introduction to Deep Learning: Methods, Implementations, and Theory.

Arnulf Jentzen, Benno Kuckuck, Philippe von Wurstemberger

CoRR, 2023

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 L^p-sense.

Julia Ackermann, Arnulf Jentzen, Thomas Kruse, Benno Kuckuck, Joshua Lee Padgett

CoRR, 2023

2022

Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions.

Victor Boussange, Sebastian Becker, Arnulf Jentzen, Benno Kuckuck, Loïc Pellissier

CoRR, 2022

2021

Deep neural network approximation theory for high-dimensional functions.

Pierfrancesco Beneventano, Patrick Cheridito, Robin Graeber, Arnulf Jentzen, Benno Kuckuck

CoRR, 2021

Strong L^p-error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations.

Martin Hutzenthaler, Arnulf Jentzen, Benno Kuckuck, Joshua Lee Padgett

CoRR, 2021

2020

An overview on deep learning-based approximation methods for partial differential equations.

Christian Beck, Martin Hutzenthaler, Arnulf Jentzen, Benno Kuckuck

CoRR, 2020

2019

Full error analysis for the training of deep neural networks.

Christian Beck, Arnulf Jentzen, Benno Kuckuck

CoRR, 2019

Duplication monotonicity in the allocation of indivisible goods.

Benno Kuckuck, Jörg Rothe

AI Commun., 2019

Refugee Allocation in the Setting of Hedonic Games.

Benno Kuckuck, Jörg Rothe, Anke Weißenfeld

Proceedings of the Algorithmic Decision Theory - 6th International Conference, 2019

2018

Sequential Allocation Rules are Separable: Refuting a Conjecture on Scoring-Based Allocation of Indivisible Goods.

Benno Kuckuck, Jörg Rothe

Proceedings of the 17th International Conference on Autonomous Agents and MultiAgent Systems, 2018

Monotonicity, Duplication Monotonicity, and Pareto Optimality in the Scoring-Based Allocation of Indivisible Goods.

Benno Kuckuck, Jörg Rothe

Proceedings of the Agreement Technologies - 6th International Conference, 2018