The last decade has witnessed a number of important and exciting developments that had been achieved for improving recurrence plot based data analysis and to widen its application potential. We will give a brief overview about important and innovative developments, such as computational improvements, alternative recurrence definitions (event-like, multiscale, heterogeneous, and spatio-temporal recurrences) and ideas for parameter selection, theoretical considerations of recurrence quantification measures, new recurrence quantifiers (e.g., for transition detection and causality detection), and correction schemes. New perspectives have recently been opened by combining recurrence plots with machine learning. We finally show open questions and perspectives for futures directions of methodical research.
Time-Lagged Recurrence: a data-driven method to estimate the predictability of dynamical systems
College of Design and Engineering（设计与工程学院）；National University of Singapore（新加坡国立大学）；LSCE, Université Paris-Saclay（法国气候与环境科学实验室，巴黎萨克雷大学）；London Mathematical Laboratory（伦敦数学实验室）；IPSL, École Normale Supérieure（地球物理研究所，巴黎高等师范学院）；Department of Earth Sciences（地球科学系）；University of Cambridge（剑桥大学）；Istituto Nazionale di Geofisica e Vulcanologia（意大利国家地球物理与火山学研究所）；School of Computing and Mathematical Sciences（计算与数学科学学院）；University of Leicester（莱斯特大学）
Deep learning for classifying dynamical states from time series via recurrence plots
Indian Institute of Science Education and Research (IISER), Pune（印度科学教育研究所（IISER），浦那）；Indian Institute of Science Education and Research (IISER), Thiruvananthapuram（印度科学教育研究所（IISER），特里凡得琅）
Deconstructing Recurrence, Attention, and Gating: Investigating the transferability of Transformers and Gated Recurrent Neural Networks in forecasting of dynamical systems
School of Engineering and Applied Sciences, Harvard University（哈佛大学工程与应用科学学院）；Institute of Structural Engineering, ETH Zurich（苏黎世联邦理工学院结构工程研究所）
Institute of Meteorology, CEN, University of Hamburg（汉堡大学气象研究所）；Department of Mathematics and Statistics, University of Reading（雷丁大学数学与统计系）；LSCE, CEA CNRS UMR 8212（法国原子能和替代能源委员会/国家科学研究中心联合实验室）；Centro de Matemática da Universidade do Porto（波尔图大学数学中心）；Faculdade de Economia da Universidade do Porto（波尔图大学经济学院）；School of Engineering, Computer Science & Mathematics, University of Exeter（埃克塞特大学工程、计算机科学与数学学院）；Department of Mathematics, University of Houston（休斯顿大学数学系）；Mathematical Institute, University of St. Andrews（圣安德鲁斯大学数学研究所）；Aix Marseille Université, CNRS, CPT, UMR 7332（艾克斯-马赛大学/国家科学研究中心计算物理中心）；Université de Toulon, CNRS, CPT, UMR 7332（土伦大学/国家科学研究中心计算物理中心）
