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» Tight lower bounds for halfspace range searching
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COMPGEOM
2010
ACM
14 years 29 days ago
Tight lower bounds for halfspace range searching
Sunil Arya, David M. Mount, Jian Xia
ML
2007
ACM
108views Machine Learning» more  ML 2007»
13 years 7 months ago
Unconditional lower bounds for learning intersections of halfspaces
We prove new lower bounds for learning intersections of halfspaces, one of the most important concept classes in computational learning theory. Our main result is that any statist...
Adam R. Klivans, Alexander A. Sherstov
COMPGEOM
2009
ACM
14 years 2 months ago
A general approach for cache-oblivious range reporting and approximate range counting
We present cache-oblivious solutions to two important variants of range searching: range reporting and approximate range counting. Our main contribution is a general approach for ...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
FOCS
2008
IEEE
14 years 2 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon
STOC
2006
ACM
92views Algorithms» more  STOC 2006»
14 years 8 months ago
On the importance of idempotence
Range searching is among the most fundamental problems in computational geometry. An n-element point set in Rd is given along with an assignment of weights to these points from so...
Sunil Arya, Theocharis Malamatos, David M. Mount