About

Department of Mathematics
University of Houston
Houston, TX 77204
Office: PGH 636

Research Interests

My research interests include Scientific Machine Learning (PINN, PIGP, etc.), Inverse Problems, Image/Signal Recovery, Numerical ODE/PDE, Modeling and Simulation. In particular, I develop and analyze scientific machine learning algorithms for making scientific discoveries from observation data. These algorithms are shown to be convergent, efficient (able to able to handle big data, with roughly linear run time), and effective (application to a wide range of situations).

  1. Physics Informed Machine Learning for solving and learning various PDEs (Talk1 on YouTube, Talk2 on YouTube)
  2. Learning Self Organization from Observations (See the 2022 AMS Gibbs Lecture on Self Organization)
  3. Numerical PDEs, especially central schemes for hyperbolic conservation laws
  4. Computation of Optimal Transport Plan
  5. Geometric Numerical Integrators
  6. Parallel and GPU Computing (MPI, openMP, CUDA)

Short Bio

Before moving to University of Houston, I was a tenure-track assistant Professor in Applied Mathematics at Illinois Tech, working on problems related to the Mathematical Foundation of Data Science. Before IIT, I was an assistant research scientist in the Texas A&M Institute of Data Science working with Prof. U. Braga-Neto, Prof. S. Foucart, and Prof. L. Wang on the algorithmic and theoretic development and applications of Scientific Machine Learning. Earlier than my position at TAMU, I was a postdoc fellow at Johns Hopkins University working with Prof. M. Maggioni on various projects which combine machine learning and dynamical systems together to study collective behaviors (clustering, flocking, milling, etc.) from observation data. I obtained my Ph.D. in Applied Mathematics, under the guidance of Prof. E. Tadmor.

I received the Ralph E. Powe Junior Faculty Enhancement Awards for new data-driven models for social science for FY2024.

PhD Students and Postdocs

I’m looking for PhD students interested in working on the math foundation of data science (either theoretical or computational) for making scientific discoveries from observation (mainly centering around the AI for Sciences theme), if you’re interested and currently at UH, feel free to email me. I am also looking for a postdoc work with me on AI for sciences, send me an email with CV if you are interested in the position.