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On Algorithms for Simplicial Depth

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Language
LanguageTerm (authority = ISO 639-3:2007); (type = text)
English
Genre (authority = RULIB-FS)
Other
Genre (authority = marcgt)
technical report
PhysicalDescription
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application/pdf
Extent
6 p.
Note (type = special display note)
Technical report DCS-TR-368
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School of Arts and Sciences (SAS) (New Brunswick)
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Computer Science (New Brunswick)
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Text
TitleInfo
Title
On Algorithms for Simplicial Depth
Abstract (type = abstract)
Simplicial depth is a way to measure how deep a point is among a set of points. Efficient algorithms to compute it are important to the usefulness of its applications, such as in multivariate analysis in statistics. A straightforward method takes O(nd+1) time when the points are in d-dimensional space. We discuss an algorithm that takes O(n2) time when the points are in three-dimensional space, and we generalize it to four-dimensional space with a time complexity of O(n4). For spaces higher than four-dimensional, there are no known algorithms faster than the straightforward method.
Name (type = personal)
NamePart (type = family)
Ouyang
NamePart (type = given)
Ming
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (type = text); (authority = marcrt)
author
Name (type = personal)
NamePart (type = family)
Cheng
NamePart (type = given)
Andrew Y.
Affiliation
Industrial Engineering, Rutgers University
Role
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author
OriginInfo
DateCreated (encoding = w3cdtf); (qualifier = exact); (keyDate = yes)
2001-08
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TitleInfo
Title
Computer Science (New Brunswick)
Identifier (type = local)
rucore21032500001
Location
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NjNbRU
Identifier (type = doi)
doi:10.7282/T3FF3WZ2
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This Item is protected by copyright and/or related rights.You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use.For other uses you need to obtain permission from the rights-holder(s).
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Open
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Technical

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Document
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1.4
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GPL Ghostscript 9.07
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2018-06-06T12:28:37
DateCreated (point = start); (encoding = w3cdtf); (qualifier = exact)
2018-06-06T12:28:37
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