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General Information
Full Name | Hyemin Gu |
Languages | English, Korean |
Education
- 2020 - Now
PhD student in Mathematics
University of Massachusetts Amherst, MA, US
- Research assistant
- Specializing in Mathematical modeling
- Advised by Markos Katsoulakis
- Current GSAC member - TWIGS coordinator
- 2018 - 2020
MSc in Mathematics
Ewha Womans University, Seoul, Republic of Korea
- Thesis title "Convolutional Neural Network for 2D Flow Estimation Problem"
- Specializing in Numerical analysis
- Advised by June-Yub Lee
- 2014 - 2018
BSc in Mathematics
Ewha Womans University, Seoul, Republic of Korea
- Major in Mathematics and Computational Science
- Minor in Statistics
Experience
- 2022 - Now
Graduate research assistant
University of Massachusetts - Amherst, Amherst, MA, US
- Developed a particle transportation algorithm and implemented the algorithm as a generative model.
- Improved the base model by autoencoders and and proved a sufficient condition for the convergence of the improved model.
- 2021
Graduate teaching assistant
University of Massachusetts - Amherst, Amherst, MA, US
- TA for M545 (Linear Algebra for Applied Math), M235 (Linear Algebra), M532H (Nonlinear Dynamics & Chaos with Applications).
- Hosted discussion sessions, delivered mini-courses for Python ODE solving tutorials, and graded weekly assignments.
- 2020
Post-master's researcher
Ewha Womans University Seoul Hospital, Seoul, Korea
- Constructed a pipeline for gene expression data analysis using R and created a documentation.
- Trained medical school graduate students to conduct statistical analysis using R.
- 2018 - 2020
Graduate research assistant
Ewha Womans University, Seoul, Korea
- Trained CNN to estimate a physical state variable from 2D flow velocity fields.
Projects
- 2022 - Now
Lipschitz regularized generative particles algorithm
- Implementation of a particle transportation algorithm through gradient flows associated with Lipschitz regularized f-divergences.
- A generative model alternative to GANs in low training data regimes.
- Mathematical interpretation of applying spectral normalization on neural network discriminators as a particle transportation speed regularization.
Academic Interests
-
PDE based machine learning
- Optimal transport, gradient flows, transport equation.
- Reaction-diffusion equations.
- Generative models
Other Interests
- Hobbies: Raising plants at home, visiting art gallaries, learning investment, yoga