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» The Minimum Volume Ellipsoid Metric
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SAC
2002
ACM
13 years 7 months ago
Location adjustment for the minimum volume ellipsoid estimator
Estimating multivariate location and scatter with both affine equivariance and positive breakdown has always been difficult. A well-known estimator which satisfies both properties...
Christophe Croux, Gentiane Haesbroeck, Peter J. Ro...
ADC
2009
Springer
98views Database» more  ADC 2009»
14 years 1 months ago
Elliptic Indexing of Multidimensional Databases
In this work an R-tree variant, which uses minimum volume covering ellipsoids instead of usual minimum bounding rectangles, is presented. The most significant aspects, which dete...
Ondrej Danko, Tomás Skopal
DAM
2007
177views more  DAM 2007»
13 years 7 months ago
On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids
Given A := {a1, . . . , am} ⊂ Rd whose affine hull is Rd, we study the problems of computing an approximate rounding of the convex hull of A and an approximation to the minimum ...
Michael J. Todd, E. Alper Yildirim
CCCG
1998
13 years 8 months ago
Quantile approximation for robust statistical estimation
Given a set P of n points in Rd, a fundamental problem in computational geometry is concerned with finding the smallest shape of some type that encloses all the points of P. Well-...
David M. Mount, Nathan S. Netanyahu, Christine D. ...
ICPR
2006
IEEE
14 years 8 months ago
Domain Based LDA and QDA
We propose an alternative to probability density classifiers based on normal distributions LDA and QDA. Instead of estimating covariance matrices using the standard maximum likeli...
David M. J. Tax, Piotr Juszczak, Robert P. W. Duin...