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math.MG2026
On the Differential-Geometric Equivalence of Hellinger-Kantorovich and Cone-Wasserstein Spaces
Tristan Luca Saidi, Gonzalo Mena, Florian Gunsilius
The Hellinger-Kantorovich (HK) space provides a natural geometry for nonnegative measures with varying total mass, but its differential-geometric structure is less well understood…
stat.ML2026
Wasserstein Parallel Transport for Predicting the Dynamics of Statistical Systems
Tristan Luca Saidi, Gonzalo Mena, Larry Wasserman +1
Many scientific systems, such as cellular populations or economic cohorts, are naturally described by probability distributions that evolve over time. Predicting how such a system…