5 papers
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…
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…
Exploring Uniform Finite Sample Stickiness
Susanne Ulmer, Do Tran Van, Stephan F. Huckemann
It is well known, that Fréchet means on non-Euclidean spaces may exhibit nonstandard asymptotic rates depending on curvature. Even for distributions featuring standard asymptotic r…
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…
The stabilizer group of adjoint-invariant forms
Do Tran Van
In this note we define the stabilizer group of any adjoint-invariant -form on a complex simple Lie algebra. This result partially extend a previous result by Kable.