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» Regression Depth and Center Points
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DCG
2000
59views more  DCG 2000»
13 years 5 months ago
Regression Depth and Center Points
Nina Amenta, Marshall W. Bern, David Eppstein, Sha...
DCG
2008
86views more  DCG 2008»
13 years 5 months ago
Efficient Algorithms for Maximum Regression Depth
We investigate algorithmic questions that arise in the statistical problem of computing lines or hyperplanes of maximum regression depth among a set of n points. We work primarily...
Marc J. van Kreveld, Joseph S. B. Mitchell, Peter ...
COMPGEOM
2000
ACM
13 years 9 months ago
Multivariate regression depth
The regression depth of a hyperplane with respect to a set of n points in Rd is the minimum number of points the hyperplane must pass through in a rotation to vertical. We general...
Marshall W. Bern, David Eppstein
SODA
2001
ACM
94views Algorithms» more  SODA 2001»
13 years 6 months ago
Computing the depth of a flat
We compute the regression depth of a k-flat in a set of n points in Rd, in time O(nd-2 + n log n) for 1 k d - 2. This contrasts with a bound of O(nd-1 + n log n) when k = 0 or
Marshall W. Bern
FSTTCS
2006
Springer
13 years 9 months ago
Computing a Center-Transversal Line
A center-transversal line for two finite point sets in R3 is a line with the property that any closed halfspace that contains it also contains at least one third of each point set...
Pankaj K. Agarwal, Sergio Cabello, Joan Antoni Sel...