Fast reconstruction of an original continuous series from a recurrence plot

Yoshito Hirata; Yuki Kitanishi; Hiroki Sugishita; Yukiko Gotoh

doi:10.1063/5.0073899

Fast reconstruction of an original continuous series from a recurrence plot

Chaos. 2021 Dec;31(12):121101. doi: 10.1063/5.0073899.

Authors

Yoshito Hirata¹, Yuki Kitanishi², Hiroki Sugishita³, Yukiko Gotoh²

Affiliations

¹ Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan.
² Graduate School of Pharmaceutical Sciences, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0032, Japan.
³ International Research Center for Neurointelligence (WPI-IRCN), The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0032, Japan.

PMID: 34972333
DOI: 10.1063/5.0073899

Abstract

We propose an algorithm to refine the reconstruction of an original time series given a recurrence plot, which is also referred to as a contact map. The refinement process calculates the local distances based on the Jaccard coefficients with the neighbors in the previous resolution for each point and takes their weighted average using local distances. We demonstrate the utility of our method using two examples.