3 papers
math.ST2025
Optimal Transport Based Testing in Factorial Designs
Michel Groppe, Linus Niemöller, Shayan Hundrieser +4
We introduce a general framework for testing statistical hypotheses in factorial designs for probability measures supported on finite spaces. The suggested methodology is based on…
math.OC2024
Identifiability and Exact Reconstruction of the Optimal Transport Cost on Finite Spaces
Alberto González-Sanz, Michel Groppe, Axel Munk
The goal of optimal transport (OT) is to find optimal assignments or matchings between data sets which minimize the total cost for a given cost function. However, sometimes the cos…
math.OC2023
Nonlinear Inverse Optimal Transport: Identifiability of the Transport Cost from its Marginals and Optimal Values
Alberto González-Sanz, Michel Groppe, Axel Munk
The inverse optimal transport problem is to find the underlying cost function from the knowledge of optimal transport plans. While this amounts to solving a linear inverse problem,…