论文标题
20年的顺序模式:观点和挑战
20 years of ordinal patterns: Perspectives and challenges
论文作者
论文摘要
在2002年,在一篇开创性的文章中,克里斯托夫·邦特(Christoph Bandt)和伯恩德·庞培(Bernd Pompe)提出了一种新方法,用于分析复杂时间序列,现在称为序数分析。序数方法基于符号(称为序数模式)的计算,该计算是根据时间序列中数据点的时间顺序定义的,其概率称为序数概率。使用序概率,可以计算香农熵,这是排列熵。自提出以来,该序数方法在像生物医学和气候学一样多样化的田地中发现了应用。但是,仍未完全了解序概率的某些特性,以及如何将特征提取的序数方法与机器学习技术结合在一起,以进行模型识别,时间序列分类或预测仍然是一个挑战。这篇观点文章的目的是提出一些最新进展并讨论一些开放问题。
In 2002, in a seminal article, Christoph Bandt and Bernd Pompe proposed a new methodology for the analysis of complex time series, now known as Ordinal Analysis. The ordinal methodology is based on the computation of symbols (known as ordinal patterns) which are defined in terms of the temporal ordering of data points in a time series, and whose probabilities are known as ordinal probabilities. With the ordinal probabilities, the Shannon entropy can be calculated, which is the permutation entropy. Since it was proposed, the ordinal method has found applications in fields as diverse as biomedicine and climatology. However, some properties of ordinal probabilities are still not fully understood, and how to combine the ordinal approach of feature extraction with machine learning techniques for model identification, time series classification or forecasting remains a challenge. The objective of this perspective article is to present some recent advances and to discuss some open problems.