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ISCIS
2009
Springer
14 years 2 months ago
Calculating the VC-dimension of decision trees
—We propose an exhaustive search algorithm that calculates the VC-dimension of univariate decision trees with binary features. The VC-dimension of the univariate decision tree wi...
Ozlem Asian, Olcay Taner Yildiz, Ethem Alpaydin
DAGSTUHL
2007
13 years 11 months ago
Smoothed Analysis of Binary Search Trees and Quicksort Under Additive Noise
Binary search trees are a fundamental data structure and their height plays a key role in the analysis of divide-and-conquer algorithms like quicksort. Their worst-case height is l...
Bodo Manthey, Till Tantau
FSTTCS
2004
Springer
14 years 3 months ago
Approximate Range Searching Using Binary Space Partitions
We show how any BSP tree TP for the endpoints of a set of n disjoint segments in the plane can be used to obtain a BSP tree of size O(n · depth(TP )) for the segments themselves, ...
Mark de Berg, Micha Streppel
DMTCS
2002
108views Mathematics» more  DMTCS 2002»
13 years 9 months ago
The height of q-Binary Search Trees
Abstract. q
Michael Drmota, Helmut Prodinger
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
13 years 9 months ago
Limit Laws for Sums of Functions of Subtrees of Random Binary Search Trees
We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recur...
Luc Devroye