15 citations · 22 across the 5 of their papers we have counts for
7 papers
Blow up phenomena for gradient descent optimization methods in the training of artificial neural networks
Davide Gallon, Arnulf Jentzen, Felix Lindner
In this article we investigate blow up phenomena for gradient descent optimization methods in the training of artificial neural networks (ANNs). Our theoretical analysis is focused…
Stochastic aspects of crack deflection and crack path prediction in short fiber reinforced polymer matrix composites
Andreas Ricoeur, Felix Lindner, Konstantin Zarjov
Owing to the production process, short fiber reinforced composites exhibit a pronounced anisotropy of both elastic properties and crack growth resistance. In particular the latter…
Strong convergence rates on the whole probability space for space-time discrete numerical approximation schemes for stochastic Burgers equations
Martin Hutzenthaler, Arnulf Jentzen, Felix Lindner +1
The main result of this article establishes strong convergence rates on the whole probability space for explicit space-time discrete numerical approximations for a class of stochas…
Malliavin regularity and weak approximation of semilinear SPDE with Lévy noise
Adam Andersson, Felix Lindner
We investigate the weak order of convergence for space-time discrete approximations of semilinear parabolic stochastic evolution equations driven by additive square-integrable Lévy…
Strong convergence of a half-explicit Euler scheme for constrained stochastic mechanical systems
Felix Lindner, Holger Stroot
This paper is concerned with the numerical approximation of stochastic mechanical systems with nonlinear holonomic constraints. Such systems are described by second order stochasti…
Poisson Malliavin calculus in Hilbert space with an application to SPDE
Adam Andersson, Felix Lindner
In this paper we introduce a Hilbert space-valued Malliavin calculus for Poisson random measures. It is solely based on elementary principles from the theory of point processes and…