Generalized Wasserstein barycenters on Riemannian manifolds are absolutely continuous when all input measures are absolutely continuous, for strictly convex cost profiles h with singularity at zero, via a geometric approximation approach.
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GKCM generalizes kernel CI testing to arbitrary regression models, provides uniform asymptotic level guarantees under stated conditions, and outperforms state-of-the-art methods in simulations when using tree-based regressors.
Characterizes subequivalence relations with dense orbits in the space for the ergodic hyperfinite p.m.p. equivalence relation, proves full group orbits are meager, and computes some Borel complexities using the uniform metric.
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Absolute continuity of generalized Wasserstein barycenters of finitely many measures
Generalized Wasserstein barycenters on Riemannian manifolds are absolutely continuous when all input measures are absolutely continuous, for strictly convex cost profiles h with singularity at zero, via a geometric approximation approach.
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The Generalised Kernel Covariance Measure
GKCM generalizes kernel CI testing to arbitrary regression models, provides uniform asymptotic level guarantees under stated conditions, and outperforms state-of-the-art methods in simulations when using tree-based regressors.
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On dense orbits in the space of subequivalence relations
Characterizes subequivalence relations with dense orbits in the space for the ergodic hyperfinite p.m.p. equivalence relation, proves full group orbits are meager, and computes some Borel complexities using the uniform metric.