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» Regression Depth and Center Points
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DCG
2000
59views more  DCG 2000»
14 years 10 months ago
Regression Depth and Center Points
Nina Amenta, Marshall W. Bern, David Eppstein, Sha...
88
Voted
DCG
2008
86views more  DCG 2008»
14 years 10 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 ...
98
Voted
COMPGEOM
2000
ACM
15 years 2 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»
14 years 11 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
83
Voted
FSTTCS
2006
Springer
15 years 1 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...