J. Zech

activity

20142026

most citedDe Rham compatible Deep Neural Network FEM

12 citations · 20 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NA2021

Deep Learning in High Dimension: Neural Network Approximation of Analytic Functions in $L^{2} (R^{d}, γ_{d})$

Christoph Schwab, Jakob Zech

For artificial deep neural networks, we prove expression rates for analytic functions $f : R^{d} \to R$ in the norm of $L^{2} (R^{d}, γ_{d})$ where $d\in {\mathbb{N}}\…

math.ST2021

Sparse approximation of triangular transports. Part II: the infinite dimensional case

Jakob Zech, Youssef Marzouk

For two probability measures $ρ$ and $π$ on $[- 1, 1]^{N}$ we investigate the approximation of the triangular Knothe-Rosenblatt transport $T:[-1,1]^{\mathbb{N}}\to [-1,1]^{\…

Deep Learning in High Dimension: Neural Network Approximation of Analytic Functions in L2(Rd,γd​)

Sparse approximation of triangular transports. Part II: the infinite dimensional case

Deep Learning in High Dimension: Neural Network Approximation of Analytic Functions in $L^{2} (R^{d}, γ_{d})$