从递归图快速重建原始连续序列。

Fast reconstruction of an original continuous series from a recurrence plot.

作者信息

Hirata Yoshito, Kitanishi Yuki, Sugishita Hiroki, Gotoh Yukiko

机构信息

Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan.

Graduate School of Pharmaceutical Sciences, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0032, Japan.

出版信息

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

DOI:10.1063/5.0073899

PMID:34972333

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.

摘要

我们提出了一种算法，用于在给定递归图（也称为接触图）的情况下细化原始时间序列的重建。细化过程基于每个点在前一分辨率下与邻居的杰卡德系数计算局部距离，并使用局部距离对其进行加权平均。我们通过两个例子展示了我们方法的实用性。