Boruvka meets nearest neighbors
Computing the minimum spanning tree (MST) is a common task in the pattern recognition and the computer vision fields. However, little work has been done on efficient general methods for solving the problem on large datasets where graphs are complete and edge weights are given implicitly by a distanc...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03029743_v8259LNCS_nPART2_p560_Tepper |
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paperaa:paper_03029743_v8259LNCS_nPART2_p560_Tepper2023-06-12T16:47:25Z Boruvka meets nearest neighbors Lect. Notes Comput. Sci. 2013;8259 LNCS(PART 2):560-567 Tepper, M. Musé, P. Almansa, A. Mejail, M. General method Generic algorithm Large datasets Memory consumption Minimum spanning trees Nearest neighbors Orders of magnitude Search structures Algorithms Computer programming Pattern recognition Computing the minimum spanning tree (MST) is a common task in the pattern recognition and the computer vision fields. However, little work has been done on efficient general methods for solving the problem on large datasets where graphs are complete and edge weights are given implicitly by a distance between vertex attributes. In this work we propose a generic algorithm that extends the classical Boruvka's algorithm by using nearest neighbors search structures to significantly reduce time and memory consumption. The algorithm can also compute in a straightforward way approximate MSTs thus further improving speed. Experiments show that the proposed method outperforms classical algorithms on large low-dimensional datasets by several orders of magnitude. © Springer-Verlag 2013. Fil:Tepper, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mejail, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03029743_v8259LNCS_nPART2_p560_Tepper |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
language |
Inglés |
orig_language_str_mv |
eng |
topic |
General method Generic algorithm Large datasets Memory consumption Minimum spanning trees Nearest neighbors Orders of magnitude Search structures Algorithms Computer programming Pattern recognition |
spellingShingle |
General method Generic algorithm Large datasets Memory consumption Minimum spanning trees Nearest neighbors Orders of magnitude Search structures Algorithms Computer programming Pattern recognition Tepper, M. Musé, P. Almansa, A. Mejail, M. Boruvka meets nearest neighbors |
topic_facet |
General method Generic algorithm Large datasets Memory consumption Minimum spanning trees Nearest neighbors Orders of magnitude Search structures Algorithms Computer programming Pattern recognition |
description |
Computing the minimum spanning tree (MST) is a common task in the pattern recognition and the computer vision fields. However, little work has been done on efficient general methods for solving the problem on large datasets where graphs are complete and edge weights are given implicitly by a distance between vertex attributes. In this work we propose a generic algorithm that extends the classical Boruvka's algorithm by using nearest neighbors search structures to significantly reduce time and memory consumption. The algorithm can also compute in a straightforward way approximate MSTs thus further improving speed. Experiments show that the proposed method outperforms classical algorithms on large low-dimensional datasets by several orders of magnitude. © Springer-Verlag 2013. |
format |
Artículo Artículo publishedVersion |
author |
Tepper, M. Musé, P. Almansa, A. Mejail, M. |
author_facet |
Tepper, M. Musé, P. Almansa, A. Mejail, M. |
author_sort |
Tepper, M. |
title |
Boruvka meets nearest neighbors |
title_short |
Boruvka meets nearest neighbors |
title_full |
Boruvka meets nearest neighbors |
title_fullStr |
Boruvka meets nearest neighbors |
title_full_unstemmed |
Boruvka meets nearest neighbors |
title_sort |
boruvka meets nearest neighbors |
publishDate |
2013 |
url |
http://hdl.handle.net/20.500.12110/paper_03029743_v8259LNCS_nPART2_p560_Tepper |
work_keys_str_mv |
AT tepperm boruvkameetsnearestneighbors AT musep boruvkameetsnearestneighbors AT almansaa boruvkameetsnearestneighbors AT mejailm boruvkameetsnearestneighbors |
_version_ |
1769810181955256320 |