David Eppstein – Publications

Computing the depth of a flat.
M. Bern and D. Eppstein.
arXiv:cs.CG/0009024.
12th ACM-SIAM Symp. Discrete Algorithms, Washington, 2001, pp. 700–701.

We compute the regression depth of a k-flat in a set of n d-dimensional points, in time O(nd-2), an order of magnitude faster than the best known algorithms for computing the depth of a point or of a hyperplane. The results from this conference paper have been merged into the full version of "Multivariate Regression Depth".

(SODA'01 depth slidesSODA'01 depth paper)