EFFICIENT NEIGHBOR SEARCHING IN NONLINEAR TIME SERIES ANALYSIS

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Abstract
We want to encourage the use of fast algorithms to find nearest neighbors in k-dimensional space. We review methods which are particularly useful for the study of time-series data from chaotic systems. As an example, a simple box-assisted method and possible refinements are described in some detail. The efficiency of the method is compared to the naive approach and to a multidimensional tree for some exemplary data sets.

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