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optimal transport 2cat(kappa) spaces 1convex order 1fixed-point algorithms 1generic transport costs 1martingale transport 1metric geometry 1numerical methods 1wasserstein barycenters 1

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20242026
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math.NA2026

Computing Barycentres of Measures for Generic Transport Costs

Eloi Tanguy, Julie Delon, Nathaël Gozlan

The paper proposes and analyzes a fixed‑point algorithm for computing barycentres of probability measures under general transport costs, providing convergence guarantees and numeri…