A deep solver for BSDEs with jumps
… 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 …
… 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 …
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 …
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. …
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, …
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 […
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 (…
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, …
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 …
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 …
scheme called the deep BSDE (… Therefore, the method opened the door to solving BSDEs in …