4 papers
Identifiability and Exact Reconstruction of the Optimal Transport Cost on Finite Spaces
Alberto González-Sanz, Alberto González-Sanz, Michel Groppe +1
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…
Optimal Transport Based Testing in Factorial Designs
Michel Groppe, Linus Niemöller, Linus Niemöller +6
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…
Lower Complexity Adaptation for Empirical Entropic Optimal Transport
Michel Groppe, Shayan Hundrieser
Entropic optimal transport (EOT) presents an effective and computationally viable alternative to unregularized optimal transport (OT), offering diverse applications for large-scale…
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,…