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I am a fourth-year PhD student in the Department of Mathematics, University of Wisconsin-Madison. My advisor is Qin Li.
Research interest:
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.