Hyemin Gu

PhD student at Mathematics, University of Massachusetts Amherst.


I do research on machine learning founded by mathematics. Working with advisor Markos Katsoulakis, and Luc Rey-Bellet, Yannis Pantazis and Panagiota Birmpa, my recent research is focused on developing particle transportation based generative model which outperforms in a low training data regime. Our approach is to transport particles through gradient flows which minimize regularized f-divergences. We proposed a stable model by applying Lipschitz regularization on a discriminator (as in GANs), and then solving an ODE induced by the gradient of the discriminator. Currently we are focusing on improving the accuracy of solutions by more sophisticated optimization methods, ODE solvers, and so on.

Personally, the following quote influenced my perspective as a researcher. In this sense, I find myself close to Eros described in Symposium.

No one who is wise desires to be wise, for he is so already. Nor do the ignorant desire wisdom: ignorance is satisfied with itself, since one does not desire what he does not suppose he lacks. Those who love wisdom are intermediate between knowledge and ignorance, and Eros is of this nature. Socrates’ speech in Symposium by Pluto


Sep 5, 2022 Initiated a role as a TWIGS coordinator.
Jan 12, 2022 Initiated a role as a research assistant, advised by Markos Katsoulakis.

selected publications

  1. GPA
    Lipschitz regularized gradient flows and latent generative particles
    Hyemin Gu, Panagiota Birmpa, Yannis Pantazis, Luc Rey-Bellet, and Markos A. Katsoulakis