84 citations · 277 across the 25 of their papers we have counts for
28 papers
An -Variational Formula on Wiener Space
David Criens, Carsten Hartmann, Michael Kupper
We establish a stochastic control representation for -norms on Wiener space. For every and every non-negative universally measurable functional , we show that $$\|φ…
Scaling law for the size dependence of a finite-range quantum gas
Luigi Delle Site, Carsten Hartmann
In a recent work [Reible et al., Phys. Rev. Res. 5, 023156, 2023], it has been shown that the mean particle-particle interaction across an ideal surface that divides a system into…
Transgressing the boundaries: towards a rigorous understanding of deep learning and its (non-)robustness
Carsten Hartmann, Lorenz Richter
The recent advances in machine learning in various fields of applications can be largely attributed to the rise of deep learning (DL) methods and architectures. Despite being a key…
Long Short-Term Memory Neural Network for Temperature Prediction in Laser Powder Bed Additive Manufacturing
Ashkan Mansouri Yarahmadi, Michael Breuß, Carsten Hartmann
In context of laser powder bed fusion (L-PBF), it is known that the properties of the final fabricated product highly depend on the temperature distribution and its gradient over t…
Two-sided Bogoliubov inequality to estimate finite size effects in quantum molecular simulations
Benedikt Reible, Carsten Hartmann, Luigi Delle Site
We generalise the two-sided Bogoliubov inequality for classical particles from [L. Delle Site et al., J.Stat.Mech.Th.Exp. 083201 (2017)] to systems of quantum particles. As in the…
-Hypergeometric Uncertain Volatility Models and their Connection to 2BSDEs
Zaineb Mezdoud, Carsten Hartmann, Mohamed Riad Remita +1
In this article we propose a -hypergeometric model with uncertain volatility (UV) where we derive a worst-case scenario for option pricing. The approach is based on the connexio…