A deep solver for BSDEs with jumps

A Gnoatto, M Patacca, A Picarelli - arXiv preprint arXiv:2211.04349, 2022 - arxiv.org
… of the Deep BSDE solver by Han, E, Jentzen (2017) to the case of FBSDEs with jumps. As in
… It is well known that FBSDEs with jumps are strongly related to PIDEs, so our solver offers in …

Deep learning numerical methods for high-dimensional fully nonlinear PIDEs and coupled FBSDEs with jumps

W Wang, J Wang, J Li, F Gao, Y Fu - arXiv preprint arXiv:2301.12895, 2023 - arxiv.org
… We propose a deep learning algorithm for solving high-… equations with jumps (FBSDEJs),
where the jump-diffusion process … -jump case, it has been shown that ϵ = 0 for the deep BSDE

[PDF][PDF] Deep Learning-Based Algorithms for Stochastic Control of Jump Diffusion in Finance

R Voskamp - 2023 - diamhomes.ewi.tudelft.nl
… This means that it is questionable whether the dBSDE-Jump method is able to solve
more complex problems. We argue that we can overcome this problem by either solving the …

Deep learning algorithms for FBSDEs with jumps: Applications to option pricing and a MFG model for smart grids

C Alasseur, Z Bensaid, R Dumitrescu… - arXiv preprint arXiv …, 2024 - arxiv.org
… Instead of solving the BSDE starting from the terminal condition… on deep learning solvers for
FBSDEs with jumps does not treat … new also in the context of decoupled FBSDEs with jumps. …

A Deep BSDE approximation of nonlinear integro-PDEs with unbounded nonlocal operators

ER Jakobsen, S Mazid - arXiv preprint arXiv:2407.09284, 2024 - arxiv.org
… 3] the authors propose extensions of the Deep BSDE solver of [21] to FBSDEs … In section
4 we propose our new Deep (multi-step) BSDE discretisation of the FBSDEs with jumps, …

A forward scheme with machine learning for forward-backward SDEs with jumps by decoupling jumps

R Kawai, R Naito, T Yamada - arXiv preprint arXiv:2410.09666, 2024 - arxiv.org
… effectiveness in the context of FBSDEs with jumps, particularly in high-dimensional … deep
BSDE solver [18], further investigated in [2, 19], has been tailored to tackle FBSDEs with jumps […

Asymptotic expansion as prior knowledge in deep learning method for high dimensional BSDEs

M Fujii, A Takahashi, M Takahashi - Asia-Pacific Financial Markets, 2019 - Springer
… of the deep BSDE solver for reflected BSDEs representing … deep learning methods to the
BSDEs with jumps remains as an important challenge. Relatively small intensity of the jumps (…

Second-order BSDEs with jumps: formulation and uniqueness

N Kazi-Tani, D Possamaï, C Zhou - 2015 - projecteuclid.org
… Since then, a lot of attention has been given to BSDEs and their … motion B, solving a BSDE
with generator f and terminal … goes deeper, and in any reasonable setting of jump uncertainty, …

Convergence analysis of the deep splitting scheme: the case of partial integro-differential equations and the associated FBSDEs with jumps

R Frey, V Köck - arXiv preprint arXiv:2206.01597, 2022 - arxiv.org
… In this paper we study deep-learning based numerical schemes for solving the following
system of forward and backward stochastic differential equations with jumps (FBSDEJ) with …

A backward differential deep learning-based algorithm for solving high-dimensional nonlinear backward stochastic differential equations

L Kapllani, L Teng - arXiv preprint arXiv:2404.08456, 2024 - arxiv.org
BSDEs: the deep learning-based methods using deep neural … The first deep learningbased
scheme called the deep BSDE (… Therefore, the method opened the door to solving BSDEs in …