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ISCIS
2009
Springer
15 years 6 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
15 years 2 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
15 years 6 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»
15 years 1 months ago
The height of q-Binary Search Trees
Abstract. q
Michael Drmota, Helmut Prodinger
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
15 years 1 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