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Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
by M. Arnaudon, F. Barbaresco, L. Yang

Publisher: arXiv 2011
Number of pages: 48

This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. Firstly, the existence and uniqueness results of local medians are given. In order to compute medians in practical cases, we propose a subgradient algorithm and prove its convergence.

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