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COMPGEOM
2010
ACM
15 years 4 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»
13 years 2 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
15 years 5 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
15 years 4 months 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
14 years 9 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...