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Algorithms and Complexity for a Statistical Problem. Minimum Median Residual Fitting

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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
InternetMediaType
application/pdf
Extent
11 p.
Note (type = special display note)
Technical report DCS-TR-149
Name (type = corporate); (authority = RutgersOrg-School)
NamePart
School of Arts and Sciences (SAS) (New Brunswick)
Name (type = corporate); (authority = RutgersOrg-Department)
NamePart
Computer Science (New Brunswick)
TypeOfResource
Text
TitleInfo
Title
Algorithms and Complexity for a Statistical Problem. Minimum Median Residual Fitting
Abstract (type = abstract)
Given n points f'xi,yi)} in the plane we study the problem of fitting the minimum median squared residual (MM2 R) line. This involves the study of the function fia,g) = median(Jyj - (a + Oxfl); it is piecewise linear and can have a quadratic number of local minima. Several algorithms that locate a minimizer of f are presented. The best of these has time complexity 0(n3) in the worst case. Our most practical algorithm appears to be one which has worst case behavior of only 0(n3 log(n)), but which we conjecture to have expected time complexity 0((n log(n))2 ). Generalizations to k dimensions are mentioned.
Name (type = personal)
NamePart (type = family)
Steiger
NamePart (type = given)
William L.
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (type = text); (authority = marcrt)
author
Name (type = personal)
NamePart (type = family)
Steele
NamePart (type = given)
J. Michael
Affiliation
Princeton University
Role
RoleTerm (type = text); (authority = marcrt)
author
OriginInfo
DateCreated (encoding = w3cdtf); (qualifier = exact); (keyDate = yes)
1984-11
RelatedItem (type = host)
TitleInfo
Title
Computer Science (New Brunswick)
Identifier (type = local)
rucore21032500001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T3V98CJQ
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Open
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Technical

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Document
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