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» Colourful Simplicial Depth
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DCG
2006
69views more  DCG 2006»
13 years 5 months ago
Colourful Simplicial Depth
Inspired by B
Antoine Deza, Sui Huang, Tamon Stephen, Tamá...
DCG
2011
13 years 5 days ago
More Colourful Simplices
We show that any point in the convex hull of each of (d +1) sets of (d +1) points in general position in Rd is contained in at least (d + 1)2/2 simplices with one vertex from each ...
Antoine Deza, Tamon Stephen, Feng Xie
JCO
2008
153views more  JCO 2008»
13 years 5 months ago
A quadratic lower bound for colourful simplicial depth
We show that any point in the convex hull of each of (d + 1) sets of (d + 1) points in Rd is contained in at least (d + 2)2 /4 simplices with one vertex from each set.
Tamon Stephen, Hugh Thomas
MA
2010
Springer
127views Communications» more  MA 2010»
13 years 3 months ago
Depth notions for orthogonal regression
Global depth, tangent depth and simplicial depths for classical and orthogonal regression are compared in examles and properies that are usefull for calculations are derived. Algo...
Robin Wellmann, Christine H. Müller
CSDA
2007
105views more  CSDA 2007»
13 years 5 months ago
Calculation of simplicial depth estimators for polynomial regression with applications
A fast algorithm for calculating the simplicial depth of a single parameter vector of a polynomial regression model is derived. Additionally, an algorithm for calculating the para...
R. Wellmann, S. Katina, Ch. H. Müller