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14 years 1 months ago
Data Structures and Algorithms for Nearest Neighbor Search in General Metric Spaces
We consider the computational problem of finding nearest neighbors in general metric spaces. Of particular interest are spaces that may not be conveniently embedded or approximate...
Peter N. Yianilos
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
14 years 4 months ago
Searching dynamic point sets in spaces with bounded doubling dimension
We present a new data structure that facilitates approximate nearest neighbor searches on a dynamic set of points in a metric space that has a bounded doubling dimension. Our data...
Richard Cole, Lee-Ad Gottlieb
STOC
2002
ACM
140views Algorithms» more  STOC 2002»
14 years 4 months ago
Finding nearest neighbors in growth-restricted metrics
Most research on nearest neighbor algorithms in the literature has been focused on the Euclidean case. In many practical search problems however, the underlying metric is non-Eucl...
David R. Karger, Matthias Ruhl
ESA
2008
Springer
126views Algorithms» more  ESA 2008»
13 years 6 months ago
Space-Time Tradeoffs for Proximity Searching in Doubling Spaces
Abstract. We consider approximate nearest neighbor searching in metric spaces of constant doubling dimension. More formally, we are given a set S of n points and an error bound &g...
Sunil Arya, David M. Mount, Antoine Vigneron, Jian...
ICDE
2000
IEEE
168views Database» more  ICDE 2000»
14 years 5 months ago
PAC Nearest Neighbor Queries: Approximate and Controlled Search in High-Dimensional and Metric Spaces
In high-dimensional and complex metric spaces, determining the nearest neighbor (NN) of a query object ? can be a very expensive task, because of the poor partitioning operated by...
Paolo Ciaccia, Marco Patella