Nonparametric modeling and spatiotemporal dynamical systems

Details Nonparametric modeling and spatiotemporal dynamical systems Nonparametric modeling and spatiotemporal dynamical systems

2002-02-26

arxiv.org/abs/nlin/0202058v2

Nonlinear Sciences

Pattern Formation and Solitons

20 pages, 11 figures

Scientific paper

In 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.

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