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Computing the Depth of a Flat

Marshall Bern·David Eppstein
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Abstract

We give algorithms for computing the regression depth of a k-flat for a set of n points in R^d. The running time is O(n^(d-2) + n log n) when 0 < k < d-1, faster than the best time bound for hyperplane regression or for data depth.

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Marshall Bern, David Eppstein. 2000-09-25. Computing the Depth of a Flat. https://arxiv.org/abs/cs/0009024

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