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Piecewise Linear Time Series Estimation with GRASP
Authors:Marcelo C. Medeiros  Mauricio G.C. Resende  Alvaro Veiga
Affiliation:(1) Department of Electrical Engineering, Catholic University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil;(2) Information Sciences Research, AT&T Labs Research, Florham Park, NJ, 07932, USA.;(3) Department of Electrical Engineering, Catholic University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil
Abstract:This paper describes a heuristic to build piecewise linear statistical models with multivariate thresholds, based on a Greedy Randomized Adaptive Search Procedure (GRASP). GRASP is an iterative randomized sampling technique that has been shown to quickly produce good quality solutions for a wide variety of optimization problems. In this paper we describe a GRASP to sequentially split an n-dimensional space in order to build a piecewise linear time series model.
Keywords:nonlinear time series analysis  piecewise linear models  combinatorial optimization  search heuristic  GRASP
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