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25 April 2024
 
  » arxiv » nlin.PS/0202058

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Nonparametric modeling and spatiotemporal dynamical systems
M. Abel ;
Date 26 Feb 2002
Subject Pattern Formation and Solitons; Chaotic Dynamics | nlin.PS nlin.CD
AbstractIn this article, it is described how to use statistical data analysis to obtain models directly from data. The focus is put on finding nonlinearities within a generalized additive model. These models are found by the means of backfitting algorithms or more general versions, like the alternating conditional expectation value method. The method is illustrated by numerically generated data. As an application the example of vortex ripple dynamics, a highly complex fluid-granular system is treated.
Source arXiv, nlin.PS/0202058
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