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math.AP2023
The Total Variation-Wasserstein Problem
Antonin Chambolle, Vincent Duval, Joao Miguel Machado
In this work we analyze the Total Variation-Wasserstein minimization problem. We propose an alternative form of deriving optimality conditions from the approach of Calier\&Poon'18,…
math.AP2023
One-dimensional approximation of measures in Wasserstein distances
Antonin Chambolle, Vincent Duval, Joao Miguel Machado
We propose a variational approach to approximate measures with measures uniformly distributed over a 1 dimentional set. The problem consists in minimizing a Wasserstein distance as…