Assistant Professor

Hudson 127

Department of Mathematics and Statistics, SUNY Albany

xye2(at)albany.edu

About

My research interest is the intersection of Machine Learning and Dynamical Systems. In particular, my research is directed toward data-driven model reduction methods in the context of stochastic dynamical systems.

Previously, I was a Postdoctoral Fellow at Johns Hopkins University. I received a PhD in applied math from the University of Washington, advised by Hong Qian. Here is my latest CV and Google Scholar.

Publications and Preprints

• Diffuse Everything: Multimodal Diffusion Models on Arbitrary State Spaces, Kevin Rojas, Yuchen Zhu, Sichen Zhu, Felix X-F. Ye, and Molei Tao, ICML 2025.

• Robust First and Second-Order Differentiation for Regularized Optimal Transport, Xingjie Li, Fei Lu, Molei Tao and Felix X.-F. Ye, SIAM Journal on Scientific Computing, 47 (3), C630-C654, 2025. arXiv:2407.02015.

• NySALT: Nyström-type inference-based schemes adaptive to large time-stepping, Xingjie Li, Fei Lu, Molei Tao and Felix X.-F. Ye, Journal of Computational Physics, 477, 111952, 2024. arXiv:2207.06012.

• Estimate exponential memory decay in Hidden Markov Model and its applications, Felix X.-F. Ye, Yi-an Ma and Hong Qian, Physica D: Nonlinear Phenomena, 460, 134053, 2024, arXiv:1710.06078.

• Nonparametric nonlinear model reduction for slow-fast SDEs near manifolds, Felix X.-F. Ye, Sichen Yang and Mauro Maggioni, J Nonlinear Sci 34, 22 (2024). Arxiv preprint arXiv:2104.02120.

• ISALT: Inference-based schemes adaptive to large time-stepping for locally Lipschitz ergodic systems, Xingjie Li, Fei Lu and Felix X.-F. Ye, Discrete & Continuous Dynamical Systems - S, 15(4):747-771, 2022, arXiv:2102.12669.

• Quantifying information accumulation encoded in the dynamics of biochemical signaling, Ying Tang, Adewunmi Adelaja, Felix X.-F. Ye, Eric J. Deeds, Roy Wollman and Alexander Hoffman, Nature Communication 12(1), 1-10, 2021.

• Synchronization in discrete-time, discrete-state random dynamical systems, Wen Huang, Hong Qian, Shirou Wang, Felix X.-F. Ye and Yingfei Yi, SIAM Journal on Applied Dynamical Systems, 19(1): 233-251, 2020, arXiv:1910.11988.

• Stochastic Dynamics II: Finite Random Dynamical Systems, Linear Representation, and Entropy Production, Felix X.-F. Ye and Hong Qian, Discrete & Continuous Dynamical Systems - B 24(8), 4311-4366, 2019, arXiv:1804.08174.

• Time Dependent Saddle Node Bifurcation: Breaking Time and the Point of No Return in a Non-Autonomous Model of Critical Transitions, Jeremiah H. Li, Felix X.-F. Ye, Hong Qian and Sui Huang, Physica D: Nonlinear Phenomena, 395, 7-14, 2019, arXiv:1611.09542.

• Dynamic Looping of a Free-Draining Polymer, Felix X.-F. Ye, Panos Stinis, and Hong Qian, SIAM Journal on Applied Mathematics, 78 (1), 104-123, 2018, arXiv:1704.04361.

• Stochastic dynamics: Models for intrinsic and extrinsic noises and their applications, Yi-an Ma, Hong Qian and Felix X.-F.Ye, SCIENTIA SINICA Mathematica 47 (12), 1693-1702, 2017.

• Stochastic Dynamics: Markov Chains and Random Transformations, Felix X.-F. Ye, Yue Wang and Hong Qian, Discrete & Continuous Dynamical Systems - B, 21 (7), 2337-2361, 2016.

• Evolution of recombination rates in a multi-locus, haploid-selection, symmetric-viability model, J.R.Chasnov and Felix X.-F. Ye, Theoretical population biology, 21, 155-165, 2013.

Teaching

In Fall 2025, I am teaching Machine Learning (AMAT592). In Spring 2026, I am teaching Practical Machine Learning (AMAT 593).

Miscellaneous

This is an article I wrote after I graduate from University of Washington.

I am a mentor for Prison Mathematics Project.