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Paper detail

A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation

We present a general convex relaxation approach to study a wide class of Unbalanced Optimal Transport problems for finite non-negative measures with possibly different masses. These are obtained as the lower semicontinuous and convex envelope of a cost for non-negative Dirac masses. New general primal-dual formulations, optimality conditions, and metric-topological properties are carefully studied and discussed.

preprint2023arXivOpen access
Giuseppe SavaréGiacomo Enrico Sodini
math.OCmath.FA
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Giuseppe SavaréGiacomo Enrico Sodini

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