Math @ Duke

Publications [#235524] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Phillips, JM; Sadri, B, Lipschitz unimodal and isotonic regression on paths and trees,
Lecture notes in computer science, vol. 6034 LNCS
(2010),
pp. 384396, ISSN 03029743 [doi]
(last updated on 2018/07/22)
Abstract: We describe algorithms for finding the regression of t, a sequence of values, to the closest sequence s by mean squared error, so that s is always increasing (isotonicity) and so the values of two consecutive points do not increase by too much (Lipschitz). The isotonicity constraint can be replaced with a unimodular constraint, for exactly one local maximum in s. These algorithm are generalized from sequences of values to trees of values. For each we describe nearlinear time algorithms. © 2010 SpringerVerlag.


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