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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,…