A. Szepessy

activity

20062026

most citedComputable error estimates for finite element approximations of elliptic partial differential equations with rough stochastic data

4 citations · 12 across the 14 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NA2020

Smaller generalization error derived for a deep residual neural network compared to shallow networks

Aku Kammonen, Jonas Kiessling, Petr Plecháč +3

Estimates of the generalization error are proved for a residual neural network with $L$ random Fourier features layers $\bar z_{\ell+1}=\bar z_\ell + \mathrm{Re}\sum_{k=1}^K\bar b_…

math.NA2020

Adaptive random Fourier features with Metropolis sampling

Aku Kammonen, Jonas Kiessling, Petr Plecháč +2

The supervised learning problem to determine a neural network approximation $R^{d} ∋ x \mapsto \sum_{k = 1}^{K} β^_{k} e^{i ω_{k} \cdot x}$ with one hidden layer is studied…