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Some geometric calculations on Wasserstein space

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arxiv math/0612562 v2 pith:P5CDKM3F submitted 2006-12-19 math.DG

classification math.DG
keywords riemannianspacewassersteincalculationscompactcomputeconnectioncurvature
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We compute the Riemannian connection and curvature for the Wasserstein space of a smooth compact Riemannian manifold.

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Cited by 1 Pith paper

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  1. Multi-scale Optimal Transport for Complete Collider Events

    hep-ph 2025-01 conditional novelty 7.0 of 10

    A hierarchical optimal transport distance, built by measuring events as distributions of jets whose shapes are measured by optimal transport, improves classification of simulated LHC events.

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