View of the Old Well on the campus of the University of North Carolina at Chapel Hill on July 10, 2018. (Johnny Andrews/UNC-Chapel Hill)

We are interested in developing numerical methods for nonlinear and high-dimensional data analysis. Our focus lies on algorithms that preserve geometric structures, and our work includes optimal transport problems, classification tasks in machine learning, linear and nonlinear approximation, and applications in biology and cancer research.


Caroline Moosmueller
Shiying Li
Aaron Jacobson
Kwatcho Mahinanda


Computational optimal transport
Approximation theory
Biology and cancer research

  • Data Science Networking Event @ UNC
    Happening on April 20, 11:30 am – 1:30 pm at Wilson Library. Caroline will give a 3-minutes flash talk, see here for details.
  • New paper
    Preprint of our new paper “Linearized Wasserstein dimensionality reduction with approximation guarantees” is available on the arXiv. This is joint work with Alex Cloninger, Keaton Hamm, and Varun Khurana.
    Caroline, Shira Faigenbaum (Duke) and Sorin Mitran (UNC Chapel Hill) are organizing a mini-symposium on “Non-linear stochastic data assimilation – theory and applications” at this year’s SIAM SEAS. The meeting will be held at Virginia Tech, March 25-26, 2023.