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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Vydáno v:Journal of discrete algorithms (Amsterdam, Netherlands) Ročník 4; číslo 4; s. 676 - 691
Hlavní autoři: Boyarshinov, Victor, Magdon-Ismail, Malik
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.12.2006
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ISSN:1570-8667, 1570-8675
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Abstract 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.
AbstractList 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.
Author Boyarshinov, Victor
Magdon-Ismail, Malik
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10.1007/PL00009258
10.1214/aoms/1177728423
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10.1016/0021-9045(74)90075-6
10.2307/2347399
10.1016/0893-9659(95)00013-G
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Median
Monotonic
Output sensitive algorithm
Shape constrained
Title Linear time isotonic and unimodal regression in the L 1 and L ∞ norms
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