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Approximate nearest neighbor search using multiple random projection trees

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dc.date.accessioned 2015-11-30T12:28:33Z und
dc.date.accessioned 2017-10-24T12:21:52Z
dc.date.available 2015-11-30T12:28:33Z und
dc.date.available 2017-10-24T12:21:52Z
dc.date.issued 2015-11-30T12:28:33Z
dc.identifier.uri http://radr.hulib.helsinki.fi/handle/10138.1/5170 und
dc.identifier.uri http://hdl.handle.net/10138.1/5170
dc.title Approximate nearest neighbor search using multiple random projection trees en
ethesis.discipline Statistics en
ethesis.discipline Tilastotiede fi
ethesis.discipline Statistik sv
ethesis.discipline.URI http://data.hulib.helsinki.fi/id/670ef0b6-2f9e-4e98-91af-a292298fb670
ethesis.department.URI http://data.hulib.helsinki.fi/id/61364eb4-647a-40e2-8539-11c5c0af8dc2
ethesis.department Institutionen för matematik och statistik sv
ethesis.department Department of Mathematics and Statistics en
ethesis.department Matematiikan ja tilastotieteen laitos fi
ethesis.faculty Matematisk-naturvetenskapliga fakulteten sv
ethesis.faculty Matemaattis-luonnontieteellinen tiedekunta fi
ethesis.faculty Faculty of Science en
ethesis.faculty.URI http://data.hulib.helsinki.fi/id/8d59209f-6614-4edd-9744-1ebdaf1d13ca
ethesis.university.URI http://data.hulib.helsinki.fi/id/50ae46d8-7ba9-4821-877c-c994c78b0d97
ethesis.university Helsingfors universitet sv
ethesis.university University of Helsinki en
ethesis.university Helsingin yliopisto fi
dct.creator Hyvönen, Ville
dct.issued 2015
dct.language.ISO639-2 eng
dct.abstract Efficient nearest neighbor search in high dimensional spaces is a problem that has numerous practical applications in the fields of statistics and machine learning, for example in robotics, computer vision, and natural language processing. In this thesis a multiple random projection trees (MRPT) algorithm for fast approximate nearest neighbor search is proposed. It is based on a variant of space partitioning trees called random projection trees (RP-trees). Both the pseudocode of the algorithm and the actual R and C++ implementations are presented. The space and time complexity of the algorithm are analyzed. The efficiency of the algorithm is demonstrated experimentally by comparing both to the basic linear search, and to another approach of using RP-tree in approximate nearest neighbor search with moderately high-dimensional image and word frequency data sets. Different split criteria are compared experimentally, and the optimal choice of tuning parameters of the algorithm is discussed both in theory, and demonstrated in practice with benchmark data sets. en
dct.language en
ethesis.language.URI http://data.hulib.helsinki.fi/id/languages/eng
ethesis.language English en
ethesis.language englanti fi
ethesis.language engelska sv
ethesis.thesistype pro gradu-avhandlingar sv
ethesis.thesistype pro gradu -tutkielmat fi
ethesis.thesistype master's thesis en
ethesis.thesistype.URI http://data.hulib.helsinki.fi/id/thesistypes/mastersthesis
dct.identifier.urn URN:NBN:fi-fe2017112251666
dc.type.dcmitype Text

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