3 citations · 7 across the 14 of their papers we have counts for
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math.AP2021★ 1 cited
Continuous limits of residual neural networks in case of large input data
M. Herty, A. Thuenen, T. Trimborn +1
Residual deep neural networks (ResNets) are mathematically described as interacting particle systems. In the case of infinitely many layers the ResNet leads to a system of coupled…
math.NA2021
Mean-field control variate methods for kinetic equations with uncertainties and applications to socio-economic sciences
Lorenzo Pareschi, Torsten Trimborn, Mattia Zanella
In this paper, we extend a recently introduced multi-fidelity control variate for the uncertainty quantification of the Boltzmann equation to the case of kinetic models arising in…