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Resolving the Optimal Metric Distortion Conjecture
[article]
2020
arXiv
pre-print
We study the following metric distortion problem: there are two finite sets of points, V and C, that lie in the same metric space, and our goal is to choose a point in C whose total distance from the points in V is as small as possible. However, rather than having access to the underlying distance metric, we only know, for each point in V, a ranking of its distances to the points in C. We propose algorithms that choose a point in C using only these rankings as input and we provide bounds on
arXiv:2004.07447v2
fatcat:gxlktxx7jrc3fn3uysp7z5dveu