Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:C2L-C
Session:
Number:C2L-C1
Estimating a generating partition from distances
Yoshito Hirata, Kazuyuki Aihara,
pp.653-656
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
Using a partition to convert a time series into a symbolic sequence is a common method to simplify the underlying dynamics. When the underlying dynamics is deterministic, there is a nice partition called generating, using which one can establish one-to-one correspondence between an orbit and an infinite symbolic sequence generated by the partition. In this talk, we extend the work of Hirata, Judd, and Kilminster, Phys. Rev. E 70, 016215 (2004) so that one can estimate a generating partition given distances between a pair of times. By using artificial and real datasets, we demonstrate that the extended method can estimate generating partitions relatively accurately.