All Near Neighbor GraphWithout Searching

Given a collection of n objects equipped with a distance function d(·, ·), the Nearest Neighbor Graph (NNG) consists in finding the nearest neighbor of each object in the collection. Without an index the total cost of NNG is quadratic. Using an index the cost would be sub-quadratic if the search for...

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Autores principales: Chávez, Edgar, Ludueña, Verónica, Reyes, Nora Susana, Kasián, Fernando
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/66742
http://journal.info.unlp.edu.ar/JCST/article/view/695/225
Aporte de:
id I19-R120-10915-66742
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Informáticas
near neighbor graph
proximity search
clustering
metric indexing
spellingShingle Ciencias Informáticas
near neighbor graph
proximity search
clustering
metric indexing
Chávez, Edgar
Ludueña, Verónica
Reyes, Nora Susana
Kasián, Fernando
All Near Neighbor GraphWithout Searching
topic_facet Ciencias Informáticas
near neighbor graph
proximity search
clustering
metric indexing
description Given a collection of n objects equipped with a distance function d(·, ·), the Nearest Neighbor Graph (NNG) consists in finding the nearest neighbor of each object in the collection. Without an index the total cost of NNG is quadratic. Using an index the cost would be sub-quadratic if the search for individual items is sublinear. Unfortunately, due to the so called curse of dimensionality the indexed and the brute force methods are almost equally inefficient. In this paper we present an efficient algorithm to build the Near Neighbor Graph (nNG), that is an approximation of NNG, using only the index construction, without actually searching for objects.
format Articulo
Articulo
author Chávez, Edgar
Ludueña, Verónica
Reyes, Nora Susana
Kasián, Fernando
author_facet Chávez, Edgar
Ludueña, Verónica
Reyes, Nora Susana
Kasián, Fernando
author_sort Chávez, Edgar
title All Near Neighbor GraphWithout Searching
title_short All Near Neighbor GraphWithout Searching
title_full All Near Neighbor GraphWithout Searching
title_fullStr All Near Neighbor GraphWithout Searching
title_full_unstemmed All Near Neighbor GraphWithout Searching
title_sort all near neighbor graphwithout searching
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/66742
http://journal.info.unlp.edu.ar/JCST/article/view/695/225
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