Fabian Hornung

According to our database, Fabian Hornung authored at least 4 papers between 2018 and 2023.

Collaborative distances:

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

2023

Space-time error estimates for deep neural network approximations for differential equations.

Philipp Grohs, Fabian Hornung, Arnulf Jentzen, Philipp Zimmermann

Adv. Comput. Math., February, 2023

2020

Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations.

Christian Beck, Fabian Hornung, Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse

J. Num. Math., 2020

Space-time deep neural network approximations for high-dimensional partial differential equations.

Fabian Hornung, Arnulf Jentzen, Diyora Salimova

CoRR, 2020

2018

A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations.

Philipp Grohs, Fabian Hornung, Arnulf Jentzen, Philippe von Wurstemberger

CoRR, 2018