Welcome!

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.

People

Caroline Moosmueller
Shiying Li
Amartya Banerjee
Aaron Jacobson
Kwatcho Mahinanda

Research

Computational optimal transport
Approximation theory
Biology and cancer research

Contact us
  • Paper on stochastic slicing and matching
    A preprint of Shiying’s and Caroline’s paper “Measure transfer via stochastic slicing and matching” is available on the arXiv. In this paper we discuss an iterative slicing-and-matching procedure which can be used for measure approximation. This scheme has first been introduced by Pitié et. al.; we show a convergence proof of a stochastic version.
  • Data science seed grant
    Caroline, together with Shahar Kovalsky, Martin Styner, and Guorong Wu received a seed grant from the School of Data Science and Society at UNC. Our award on “Spatio-temporal analysis of brain functional connectome” will run until June 2024. Official announcement Abstract: We will develop mathematical models and algorithms for the analysis and statistical characterization of … Read more
  • 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.
  • SIAM SEAS
    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.