4 papers
Unfolding with a Wasserstein Loss
Katy Craig, Benjamin Faktor, Benjamin Nachman
Data unfolding -- the removal of noise or artifacts from measurements -- is a fundamental task across the experimental sciences. Of particular interest are applications in physics,…
Multi-scale Optimal Transport for Complete Collider Events
Tianji Cai, Nathaniel Craig, Katy Craig +1
Building upon the success of optimal transport metrics defined for single collinear jets, we develop a multi-scale framework that models entire collider events as distributions on…
Vector valued optimal transport: from dynamic to static formulations
Katy Craig, Nicolás GarcÃa Trillos, ÄorÄe NikoliÄ
Motivated by applications in classification of vector valued measures and multispecies PDE, we develop a theory that unifies existing notions of vector valued optimal transport, fr…
Wavelet s-Wasserstein distances for 0 < s <= 1
Katy Craig, Haoqing Yu
Motivated by classical harmonic analysis results characterizing Hölder spaces in terms of the decay of their wavelet coefficients, we consider wavelet methods for computing s-Wass…