2 problems

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MTW-type control conjecture for convergence rates of Wasserstein polymeans
Let $P$ be a distribution and let the polymean in the $k$ -skeleton be viewed in Wasserstein space. For i.i.d. samples with distribution $P$ , the conditions governing the convergenc…
Conjectureopenoptimal-transport statistical-asymptotics wasserstein-geometryarXiv posted 2 days ago
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Detection-boundary conjecture for location families with tail-decaying base distributions
Detection-boundary conjecture. For a similar class of models, namely a location family with a tail-decaying base distribution, the detection boundary $\rho^*(\beta)$ is attained pr…
Conjectureopenanomaly-detection sparse-mixtures statistical-asymptoticsarXiv posted 2 days ago

MTW-type control conjecture for convergence rates of Wasserstein polymeans