I am a fourth-year PhD student in the Department of Mathematics, University of Wisconsin-Madison. My advisor is Qin Li.
I work on applied and computational mathematics. More specifically, I use PDE analysis tools for analyzing machine learning algorithms, such as Bayesian sampling and over-parameterized neural networks. The PDE tools, including gradient flow equation, and mean-field analysis, are helpful in formulating the machine (deep) learning algorithms into certain mathematical descriptions that are easier to handle. This, in return, provides convergence analysis to the algorithms.
Office: 616 Van Vleck