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math.ST2025
Two-Sample Tests for Optimal Lifts, Manifold Stability and Reverse Labeling Reflection Shap
Do Tran Van, Susovan Pal, Benjamin Eltzner +1
We consider a quotient of a complete Riemannian manifold modulo an isometrically and properly acting Lie group and lifts of the quotient to the manifolds in optimal position to a r…
math.ST2023
Sticky Flavors
Lars Lammers, Do Tran Van, Stephan F. Huckemann
The Fréchet mean, a generalization to a metric space of the expectation of a random variable in a vector space, can exhibit unexpected behavior for a wide class of random variables…
math.ST2023
Types of Stickiness in BHV Phylogenetic Tree Spaces and Their Degree
Lars Lammers, Do Tran Van, Tom M. W. Nye +1
It has been observed that the sample mean of certain probability distributions in Billera-Holmes-Vogtmann (BHV) phylogenetic spaces is confined to a lower-dimensional subspace for…