Herrmann, Lukas
- Neural and spectral operator surrogates: unified construction and expression rate bounds
2022/07/11 by Lukas Herrmann, Herrmann, Lukas, Christoph Schwab +3 · 3 citations
Computer Science · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Applications #Numerical Analysis (math.NA)
- Deep neural network approximation for high-dimensional parabolic Hamilton-Jacobi-Bellman equations
2021/03/09 by Philipp Grohs, Lukas Herrmann, Grohs, Philipp +1 · 2 citations
Physics and Astronomy · Computer Science · Economics, Econometrics and Finance · #Model Reduction and Neural Networks #Reinforcement Learning in Robotics #Stochastic processes and financial applications
- Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions
2020/07/10 by Grohs, Philipp, Herrmann, Lukas · 1 citation
#60H30 #65C99 #65M99 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA)
- Multilevel approximation of Gaussian random fields: Covariance compression, estimation and spatial prediction
2021/03/07 by Harbrecht, Helmut, Herrmann, Lukas, Kirchner, Kristin +1 · 1 citation
#62M20 #65C05 (Secondary) #65C60 (Primary) 62M09 #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR) #Statistics Theory (math.ST)
- Analysis of RHC for stabilization of nonautonomous parabolic equations under uncertainty
2023/02/01 by Azmi, Behzad, Herrmann, Lukas, Kunisch, Karl · 1 citation
#FOS: Mathematics #Optimization and Control (math.OC)