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arXiv · 1705.09383

Uniqueness of optimal solutions for semi-discrete transport with p-norm cost functions

J. D. Walsh III
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Abstract

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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J. D. Walsh III. 2017-05-23. Uniqueness of optimal solutions for semi-discrete transport with p-norm cost functions. https://arxiv.org/abs/1705.09383

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