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SADM
2011
13 years 2 months ago
Random survival forests for high-dimensional data
: Minimal depth is a dimensionless order statistic that measures the predictiveness of a variable in a survival tree. It can be used to select variables in high-dimensional problem...
Hemant Ishwaran, Udaya B. Kogalur, Xi Chen, Andy J...
ICDM
2007
IEEE
183views Data Mining» more  ICDM 2007»
14 years 2 months ago
Depth-Based Novelty Detection and Its Application to Taxonomic Research
It is estimated that less than 10 percent of the world’s species have been described, yet species are being lost daily due to human destruction of natural habitats. The job of d...
Yixin Chen, Henry L. Bart Jr., Xin Dang, Hanxiang ...
SODA
2004
ACM
127views Algorithms» more  SODA 2004»
13 years 9 months ago
An optimal randomized algorithm for maximum Tukey depth
We present the first optimal algorithm to compute the maximum Tukey depth (also known as location or halfspace depth) for a non-degenerate point set in the plane. The algorithm is...
Timothy M. Chan
SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 5 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu
CIE
2006
Springer
13 years 11 months ago
Lower Bounds Using Kolmogorov Complexity
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
Sophie Laplante