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finsler manifolds 1geodesic computation 1numerical algorithms 1quadratic convergence 1riemannian manifolds 1

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stat.ML2025

Simultaneous Optimization of Geodesics and Fréchet Means

Frederik Möbius Rygaard, Søren Hauberg, Steen Markvorsen

A central part of geometric statistics is to compute the Fréchet mean. This is a well-known intrinsic mean on a Riemannian manifold that minimizes the sum of squared Riemannian di…