A pseudo-basis using a recurrence plot
Human Informatics Interaction Research Institute, National Institute of Advanced Industrial Science and Technology, Tsukuba, Japan
2 Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Japan
Accepted: 27 September 2022
Published online: 21 October 2022
We examine how much of columns of a recurrence plot can be represented by bit operations of a subset of the columns, which is here called a pseudo-basis. Such bit operations include AND, OR, and NOT. We find that the ratio of the columns that cannot be represented by such bit operations decreases exponentially when one increases the number of columns included in the subset. Our results would be a fundamental reasoning on how one can express a time series generated from a nonlinear system.
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