Fabian Hornung

Statistics

Publications

Citations

240

H-Index

Active since

2020

Affiliations

Karlsruhe Institute of Technology(Current)

ETH Zurich

University of Münster

Shenzhen Research Institute of Big Data

Chinese University of Hong Kong, Shenzhen

Fabian Hornung is an author at Karlsruhe Institute of Technology specializing in machine learning, neural networks (machine learning), and value function approximation.

ORCID

Top concepts

EngineeringDeep LearningMachine LearningNumerical AnalysisApproximation TheoryValue Function ApproximationNeural Networks (Machine Learning)Social SciencesComputer ScienceMultiphysics Modeling

Publications per year

2020–2024

Publications

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 et al. · Memoirs of the American Mathematical Society · 2023 · 149 citations · Full text

Numerical Analysis, Engineering, Machine Learning +16

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 et al. · Journal of Numerical Mathematics · 2020 · 45 citations · Full text

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

Philipp Grohs, Fabian Hornung, Arnulf Jentzen et al. · Advances in Computational Mathematics · 2023 · 34 citations · Full text

Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations

Fabian Hornung, Arnulf Jentzen and Diyora Salimova · Journal of Computational Mathematics · 2024 · 12 citations · Full text

Numerical Analysis, Engineering, Machine Learning +16

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