Yubin Lu

Education

Ph.D. - Huazhong University of Science and Technology

M.S. -  Huazhong University of Science and Technology

B.S. - Huazhong University of Science and Technology

Research Interests

Numerical methods, stochastic dynamics, data-driven modeling, probabilistic generative models

Publications

• C. Fang, Y. Lu, T. Gao and J. Duan. Reservoir Computing with Error Correction: Long-term Behaviors of Stochastic Dynamical Systems, 2023. Submitted.
• Y. Lu, Z. Wang and G. Bal. Mathematical analysis of singularities in the diffusion model under the submanifold assumption, 2023. Submitted.
• Y. Lu, Y. Li and J. Duan. Extracting stochastic governing laws by non-local Kramers–Moyal formulae. Philosophical Transactions of the Royal Society A 380 (2229), 20210195.
• C. Fang, Y. Lu, T. Gao and J. Duan. An end-to-end deep learning approach for extracting stochastic dynamical systems with α-stable Lévy noise. Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (6), 2022.
• Y. Lu, R. Maulik, T. Gao, F. Dietrich, I.G. Kevrekidis and J. Duan. Learning the temporal evolution of multivariate densities via normalizing flows. Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (3), 2022.
• Y. Li, Y. Lu and J. Duan. Extracting stochastic dynamical systems with α-stable Lévy noise from data. Journal of Statistical Mechanics: Theory and Experiment 2022 (2), 023405.
• Y. Lu and J. Duan. Discovering transition phenomena from data of stochastic dynamical systems with Lévy noise. Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (9), 2020.