67 citations · 101 across the 16 of their papers we have counts for
4 papers · 1 filter
Convergence of a Deep BSDE solver with jumps
Alessandro Gnoatto, Katharina Oberpriller, Athena Picarelli
We study the error arising in the numerical approximation of FBSDEs and related PIDEs by means of a deep learning-based method. Our results focus on decoupled FBSDEs with jumps and…
A deep solver for BSDEs with jumps
Kristoffer Andersson, Alessandro Gnoatto, Marco Patacca +1
The aim of this work is to propose an extension of the deep solver by Han, Jentzen, E (2018) to the case of forward backward stochastic differential equations (FBSDEs) with jumps.…
CBI-time-changed Lévy processes
Claudio Fontana, Alessandro Gnoatto, Guillaume Szulda
We introduce and study the class of CBI-time-changed Lévy processes (CBITCL), obtained by time-changing a Lévy process with respect to an integrated continuous-state branching proc…
A change of measure formula for recursive conditional expectations
Luca Di Persio, Alessandro Gnoatto, Marco Patacca
In this paper, we derive a representation for the value process associated to the solutions of FBSDEs in a jump-diffusion setting under multiple probability measures. Motivated by…