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COMPGEOM
2010
ACM
14 years 1 months ago
A dynamic data structure for approximate range searching
In this paper, we introduce a simple, randomized dynamic data structure for storing multidimensional point sets, called a quadtreap. This data structure is a randomized, balanced ...
David M. Mount, Eunhui Park
SODA
2012
ACM
196views Algorithms» more  SODA 2012»
11 years 11 months ago
Polytope approximation and the Mahler volume
The problem of approximating convex bodies by polytopes is an important and well studied problem. Given a convex body K in Rd , the objective is to minimize the number of vertices...
Sunil Arya, Guilherme Dias da Fonseca, David M. Mo...
COMPGEOM
2004
ACM
14 years 2 months ago
Deformable spanners and applications
For a set S of points in Rd, an s-spanner is a graph on S such that any pair of points is connected via some path in the spanner whose total length is at most s times the Euclidea...
Jie Gao, Leonidas J. Guibas, An Nguyen
CIKM
2000
Springer
14 years 28 days ago
Vector Approximation based Indexing for Non-uniform High Dimensional Data Sets
With the proliferation of multimedia data, there is increasing need to support the indexing and searching of high dimensional data. Recently, a vector approximation based techniqu...
Hakan Ferhatosmanoglu, Ertem Tuncel, Divyakant Agr...
COLT
2010
Springer
13 years 6 months ago
Efficient Classification for Metric Data
Recent advances in large-margin classification of data residing in general metric spaces (rather than Hilbert spaces) enable classification under various natural metrics, such as ...
Lee-Ad Gottlieb, Leonid Kontorovich, Robert Krauth...