Department of Mathematics and Statistics, SUNY Albany
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.
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping, Xingjie Li, Fei Lu, Molei Tao and Felix X.-F. Ye, ArXiv preprint arXiv:2207.06012.
Nonparametric nonlinear model reduction for slow-fast SDEs near manifolds, Felix X.-F. Ye, Sichen Yang and Mauro Maggioni, Submitted, 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.
Estimate exponential memory decay in Hidden Markov Model and its applications, Felix X.-F. Ye, Yi-an Ma and Hong Qian, arXiv:1710.06078.
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.
In Fall 2022, I am teaching Machine Learning (AMAT592). Here is the course git.
I am also teaching Applied Statistics for Data Science (AMAT 565). Here is the course git.
Both courses received Google Cloud Education Credits.
This is an article I wrote after I graduate from University of Washington.
I am a mentor for Prison Mathematics Project.