Mataigne, S., Absil, P.-A., Miolane, N.
Abstract
We present a method to compute an approximate Riemannian barycenter of a collection of points lying on a Riemannian manifold. Our approach relies on the use of theoretically proven under- and overapproximations of the Riemannian distance function. We compare it to the exact computation of the Riemannian barycenter and to an approach that approximates the Riemannian logarithm using lifting maps. Experiments are conducted on the Stiefel manifold.
Citation
Mataigne, S., Absil, P-A., and Miolane, N. "On the approximation of the Riemannian barycenter." Geometric Science of Information (2025).
BibTeX
@misc{mataigne2025approximation,
title={On the approximation of the Riemannian barycenter},
author={Simon Mataigne and P. -A. Absil and Nina Miolane},
year={2025},
conference={Geometric Science of Information}
}
