3 papers
math.OC2026
The Monge optimal transport barycenter problem
Andrew D. Lipnick, Esteban G. Tabak, Giulio Trigila +3
A novel methodology is developed for the solution of the data-driven Monge optimal transport barycenter problem, where the pushforward condition is formulated in terms of the stati…
stat.CO2025
Optimal transport with a density-dependent cost function
Zichu Wang, Esteban G. Tabak
A new pairwise cost function is proposed for the optimal transport barycenter problem, adopting the form of the minimal action between two points, with a Lagrangian that takes into…
stat.ME2025
The hierarchical barycenter: conditional probability simulation with structured and unobserved covariates
Esteban G. Tabak, Giulio Trigila, Wenjun Zhao
This paper presents a new method for conditional probability density simulation. The method is design to work with unstructured data set when data are not characterized by the same…