Submitted Paper
Inserted: 29 jul 2019
Last Updated: 13 aug 2019
Year: 2019
Abstract:
In this paper we characterize the extremal points of the unit ball of a coercive version of the Benamou-Brenier energy proving that they consist of pairs of measures concentrated on absolutely continuous curves. Then, we apply this result to provide a representation formula for sparse solutions of dynamic inverse problems with finite dimensional data and optimal-transport based regularization.
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