Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics (Q2182123)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics |
scientific article |
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Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics (English)
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21 May 2020
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For a compact geodesic metric space, the authors provide rates of convergence for empirical (generalised) barycenters, using empirical processestechniques. They study the validity of variance inequalities in spaces of non-positive and non-negative Aleksandrov curvature. They also relate variance inequalities to strong geodesic convexity.
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geodesic metric space
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empirical processes
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barycenter
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convexity
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