My general interests in research lies in applied math and scientific computing. Currently, I am working on (1) intrinsic complexity of models and data sets; (2) imaging with transport/diffusion models rising from biomedical imaging; (3) scientific computing of radiative transfer ; (4) PDE learning and neural networks. Here is a selection of past projects I have worked on in the past years.
Current Research
- PDE learning and neural networks
- Intrinsic complexity of models and data sets
- Imaging with transport/diffusion models
- Computations of radiative transport equation
- Implicit boundary integration
My research interests mainly focus on applied mathematics and scientific computing. In particular, I am currently interested in data-driven modeling, the intrinsic complexity of datasets, inverse problems, fast algorithms, multiphysics modeling, etc.
Research Areas: Applied Mathematics