Linear time isotonic and unimodal regression in the L 1 and L ∞ norms

We consider L 1 -isotonic regression and L ∞ isotonic and unimodal regression. For L 1 -isotonic regression, we present a linear time algorithm when the number of outputs are bounded. We extend the algorithm to construct an approximate isotonic regression in linear time when the output range is boun...

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Bibliographic Details
Published in:Journal of discrete algorithms (Amsterdam, Netherlands) Vol. 4; no. 4; pp. 676 - 691
Main Authors: Boyarshinov, Victor, Magdon-Ismail, Malik
Format: Journal Article
Language:English
Published: Elsevier B.V 01.12.2006
Subjects:
Approximation
Median
Monotonic
Output sensitive algorithm
Shape constrained
Output sensitive algorithm
Median
Approximation
Monotonic
Shape constrained
ISSN:1570-8667, 1570-8675
Online Access:Get full text
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Summary:We consider L 1 -isotonic regression and L ∞ isotonic and unimodal regression. For L 1 -isotonic regression, we present a linear time algorithm when the number of outputs are bounded. We extend the algorithm to construct an approximate isotonic regression in linear time when the output range is bounded. We present linear time algorithms for L ∞ isotonic and unimodal regression.
ISSN:1570-8667
1570-8675
DOI:10.1016/j.jda.2005.07.001