An efficient Wasserstein-distance approach for reconstructing jump-diffusion processes using parameterized neural networks

M Xia, X Li, Q Shen, T Chou - arXiv preprint arXiv:2406.01653, 2024 - arxiv.org
We analyze the Wasserstein distance ($ W $-distance) between two probability distributions
associated with two multidimensional jump-diffusion processes. Specifically, we analyze a …

A local squared Wasserstein-2 method for efficient reconstruction of models with uncertainty

M Xia, Q Shen - arXiv preprint arXiv:2406.06825, 2024 - arxiv.org
In this paper, we propose a local squared Wasserstein-2 (W_2) method to solve the inverse
problem of reconstructing models with uncertain latent variables or parameters. A key …