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An Optimal Linear Time Algorithm for Quasi-Monotonic Segmentation

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CONTRIBUTORS:
  Author Lemire, Daniel (Université du Québec à Montréal (UQAM))
  Author Brooks, Martin
  Author Yan, Yuhong
PROCEEDINGS TITLE:
  IEEE Data Mining 2005 (ICDM-05)
YEAR: 2005
PUB TYPE: Conference Paper in Proceedings
PAGES: n/a - n/a
SUBJECT(S): Piecewise Quasi-Monotone Functions, Segmentation, ECG, Spline
DISCIPLINE: Computer Science
HTTP: http://www.daniel-lemire.com/fr/abstracts/ICDM05.html
LANGUAGE: English
PUB ID: 103-419-650 (Last edited on 2005/09/06 10:27:50 GMT-6)
SPONSOR(S):
 
ABSTRACT:
Monotonicity is a simple yet significant qualitative characteristic. We consider the problem of segmenting an array in up to K segments. We want segments to be as monotonic as possible and to alternate signs. We propose a quality metric for this problem, present an optimal linear time algorithm based on novel formalism, and compare experimentally its performance to a linear time top-down regression algorithm. We show that our algorithm is faster and more accurate. Applications include pattern recognition and qualitative modeling.
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