4 papers
Fast Computation of Free-Support Wasserstein Medians
Kisung You, Mauro Giuffré, Dennis Shung
The Wasserstein median is a robust alternative to the Wasserstein barycenter for averaging probability measures, but exact empirical computation can be expensive. A natural metric-…
Quotient-Based Posterior Analysis for Euclidean Latent Space Models
Kisung You, Mauro Giuffrè
Latent space models are widely used in statistical network analysis and are often fit by Markov chain Monte Carlo. However, posterior summaries of latent coordinates are not canoni…
On the Wasserstein median of probability measures
Kisung You, Dennis Shung, Mauro Giuffrè
The primary choice to summarize a finite collection of random objects is by using measures of central tendency, such as mean and median. In the field of optimal transport, the Wass…
Learning over von Mises-Fisher Distributions via a Wasserstein-like Geometry
Kisung You, Dennis Shung, Mauro Giuffrè
We introduce a novel, geometry-aware distance metric for the family of von Mises-Fisher (vMF) distributions, which are fundamental models for directional data on the unit hypersphe…