3 papers
cs.LG2025
One model to solve them all: 2BSDE families via neural operators
Takashi Furuya, Anastasis Kratsios, Dylan Possamaï +1
We introduce a mild generative variant of the classical neural operator model, which leverages Kolmogorov--Arnold networks to solve infinite families of second-order backward stoch…
math.PR2025
Mind the jumps: when 2BSDEs meet semi-martingales
Dylan Possamaï, Marco Rodrigues, Alexandros Saplaouras
We construct an aggregated version of the value processes associated with stochastic control problems, where the criterion to optimise is given by solutions to semi-martingale back…
math.PR2024
Reflections on BSDEs
Dylan Possamaï, Marco Rodrigues
We prove well-posedness results for backward stochastic differential equations (BSDEs) and reflected BSDEs with an optional obstacle process in the case of appropriately weighted $…