On Approximating the Riemannian 1-Center

Details On Approximating the Riemannian 1-Center On Approximating the Riemannian 1-Center

2011-01-25

arxiv.org/abs/1101.4718v3

Computer Science

Computational Geometry

23 pages

Scientific paper

In this paper, we generalize the simple Euclidean 1-center approximation
algorithm of Badoiu and Clarkson (2003) to Riemannian geometries and study
accordingly the convergence rate. We then show how to instantiate this generic
algorithm to two particular cases: (1) hyperbolic geometry, and (2) Riemannian
manifold of symmetric positive definite matrices.

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