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We consider a class of convex optimization problems modelling temporal mass transport and mass change between two given mass distributions (the so-called dynamic formulation of unbalanced transport), where we focus on those models for which transport costs are proportional to transport distance.
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Unbalanced optimal transport: Geometry and Kantorovich formulation
L. Chizat, G. Peyré, B. Schmitzer, and F.-X. Vialard · 2015
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