Uniqueness of optimal solutions for semi-discrete transport with p-norm cost functions
classification
🧮 math.OC
cs.NAmath.NA
keywords
semi-discretetransportalwaysshift-characterizedsolutioncharacterizedclasscontinuous
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Semi-discrete transport can be characterized in terms of real-valued shifts. Often, but not always, the solution to the shift-characterized problem partitions the continuous region. This paper gives examples of when partitioning fails, and offers a large class of semi-discrete transport problems where the shift-characterized solution is always a partition.
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