Moosmueller, Caroline

$Caroline Moosmueller$

Assistant Professor
J. Burton Linker Fellow
Phillips Hall 324K
919-962-1295
cmoosm@unc.edu
Website

Research Interests

Geometric data analysis, computational optimal transport, numerical analysis and approximation theory, applications in biology and medicine

Professional Background

B.Sc in Mathematics, University of Vienna (Austria), 2010; M.Sc in Mathematics, University of Vienna (Austria), 2013; Ph.D in Technical Mathematics, Graz University of Technology (Austria), 2017; Postdoc at Johns Hopkins University, 2017-2019; Visiting Assistant Professor, University of California, San Diego, 2019-2022; Assistant Professor, University of North Carolina at Chapel Hill, since 2022

Research Synopsis

The focus of my research lies in the development of numerical methods for nonlinear and high-dimensional data analysis. I am particularly interested in algorithms that preserve geometric structure, and I work on optimal transport problems, classification tasks in machine learning, linear and nonlinear approximation, and applications in biology and cancer research.

Representative Publications

Linear optimal transport embedding: provable Wasserstein classification for certain rigid transformations and perturbations
C. Moosmueller, A. Cloninger,
Information and Inference: A Journal of the IMA, 12 (1), 363–389, 2023

Linear Optimal Transport Embedding: Provable Wasserstein classification for certain rigid transformations and perturbations
C. Moosmuller, A. Cloninger,
arXiv, arXiv:2008.09165, 2021

Molecular phenotyping using networks, diffusion, and topology: soft-tissue sarcoma
J. Mathews, M. Pouryahya, C. Moosmueller, I. G. Kevrekidis, J. Deasy, A. Tannenbaum,
Scientific Reports 9, 13982, 2019

C¹ analysis of Hermite subdivision schemes on manifolds
C. Moosmueller,
SIAM Journal on Numerical Analysis 54 (5), 3003 – 3031, 2016