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Nearest neighbor queries.

by Nick Roussopoulos , Stephen Kelley , Fr Ed , Eric Vincent - ACM SIGMOD Record, , 1995
"... Abstract A frequently encountered type of query in Geographic Information Systems is to nd the k nearest neighbor objects to a given point in space. Processing such queries requires substantially di erent search algorithms than those for location or range queries. In this paper we present a n e cie ..."
Abstract - Cited by 592 (1 self) - Add to MetaCart
Abstract A frequently encountered type of query in Geographic Information Systems is to nd the k nearest neighbor objects to a given point in space. Processing such queries requires substantially di erent search algorithms than those for location or range queries. In this paper we present a n e

Cover trees for nearest neighbor

by Alina Beygelzimer, Sham Kakade, John Langford - In Proceedings of the 23rd international conference on Machine learning , 2006
"... ABSTRACT. We present a tree data structure for fast nearest neighbor operations in general-point metric spaces. The data structure requires space regardless of the metric’s structure. If the point set has an expansion constant � in the sense of Karger and Ruhl [KR02], the data structure can be const ..."
Abstract - Cited by 218 (0 self) - Add to MetaCart
ABSTRACT. We present a tree data structure for fast nearest neighbor operations in general-point metric spaces. The data structure requires space regardless of the metric’s structure. If the point set has an expansion constant � in the sense of Karger and Ruhl [KR02], the data structure can

nearest-neighbors

by A. Enciso, F. Finkel, A. González-lópez, M. A. Rodríguez , 704
"... novel quasi-exactly solvable spin chain with ..."
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novel quasi-exactly solvable spin chain with

nearest-neighbor

by Adam Roberts, Leonard Mcmillan, Wei Wang, Joel Parker, Ivan Rusyn, David Threadgill
"... Vol. 23 ISMB/ECCB 2007, pages i401–i407 ..."
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Vol. 23 ISMB/ECCB 2007, pages i401–i407

Continuous Nearest Neighbor Search

by Yufei Tao, Dimitris Papadias, Qiongmao Shen , 2002
"... A continuous nearest neighbor query retrieves the nearest neighbor (NN) of every point on a line segment (e.g., "find all my nearest gas stations during my route from point s to point e"). The result contains a set of <point, interval> tuples, such that point is the NN of all po ..."
Abstract - Cited by 160 (10 self) - Add to MetaCart
A continuous nearest neighbor query retrieves the nearest neighbor (NN) of every point on a line segment (e.g., "find all my nearest gas stations during my route from point s to point e"). The result contains a set of <point, interval> tuples, such that point is the NN of all

Discriminant adaptive nearest neighbor classification,

by Rrrevor Hastie , Robert Tibshirani , 1995
"... Abstract Nearest neighbor classification expects the class conditional probabilities to be locally constant, and suffers from bias in high dimensions We propose a locally adaptive form of nearest neighbor classification to try to finesse this curse of dimensionality. We use a local linear discrimin ..."
Abstract - Cited by 321 (1 self) - Add to MetaCart
Abstract Nearest neighbor classification expects the class conditional probabilities to be locally constant, and suffers from bias in high dimensions We propose a locally adaptive form of nearest neighbor classification to try to finesse this curse of dimensionality. We use a local linear

Fast approximate nearest neighbors with automatic algorithm configuration

by Marius Muja, David G. Lowe - In VISAPP International Conference on Computer Vision Theory and Applications , 2009
"... nearest-neighbors search, randomized kd-trees, hierarchical k-means tree, clustering. For many computer vision problems, the most time consuming component consists of nearest neighbor matching in high-dimensional spaces. There are no known exact algorithms for solving these high-dimensional problems ..."
Abstract - Cited by 455 (2 self) - Add to MetaCart
nearest-neighbors search, randomized kd-trees, hierarchical k-means tree, clustering. For many computer vision problems, the most time consuming component consists of nearest neighbor matching in high-dimensional spaces. There are no known exact algorithms for solving these high

Constrained Nearest Neighbor Queries

by H. Ferhatosmanoglu, I. Stanoi, D. Agrawal, A. El Abbadi - in SSTD , 2001
"... In this paper we introduce the notion of constrained nearest neighbor queries (CNN) and propose a series of methods to answer them. This class of queries can be thought of as nearest neighbor queries with range constraints. Although both nearest neighbor and range queries have been analyzed exten ..."
Abstract - Cited by 43 (4 self) - Add to MetaCart
In this paper we introduce the notion of constrained nearest neighbor queries (CNN) and propose a series of methods to answer them. This class of queries can be thought of as nearest neighbor queries with range constraints. Although both nearest neighbor and range queries have been analyzed

Approximate Nearest Neighbors: Towards Removing the Curse of Dimensionality

by Piotr Indyk , Rajeev Motwani , 1999
"... ..."
Abstract - Cited by 1033 (33 self) - Add to MetaCart
Abstract not found

An Optimal Algorithm for Approximate Nearest Neighbor Searching in Fixed Dimensions

by Sunil Arya, David M. Mount, Nathan S. Netanyahu, Ruth Silverman, Angela Y. Wu - ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS , 1994
"... Consider a set S of n data points in real d-dimensional space, R d , where distances are measured using any Minkowski metric. In nearest neighbor searching we preprocess S into a data structure, so that given any query point q 2 R d , the closest point of S to q can be reported quickly. Given any po ..."
Abstract - Cited by 984 (32 self) - Add to MetaCart
Consider a set S of n data points in real d-dimensional space, R d , where distances are measured using any Minkowski metric. In nearest neighbor searching we preprocess S into a data structure, so that given any query point q 2 R d , the closest point of S to q can be reported quickly. Given any
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