Measuring complexity allows to characterize complex systems. Existing techniques are limited to simultaneously measure complexity from short length data sets, detect transitions and periodic dynamics. This paper presents an approach based on ordinal pattern positioned slopes (OPPS). It considers exclusively OPPS group occurrences to compute the complexity from OPPS (COPPS) as the average number of patterns and applies to short data series. The COPPS measure was successfully applied to simulation data for measuring complexity, detecting transition phases and regular dynamics, distinguishing between chaotic and stochastic dynamics; and to real-world data for detecting arrhythmia ECG beats.

中文翻译：

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顺序模式定位斜率的复杂性 (COPPS)

测量复杂性可以表征复杂系统。现有技术仅限于同时测量短长度数据集的复杂性、检测转变和周期性动态。本文提出了一种基于顺序模式定位斜率（OPPS）的方法。它仅考虑 OPPS 组出现，以将 OPPS (COPPS) 的复杂性计算为模式的平均数量，并适用于短数据系列。COPPS 测量已成功应用于模拟数据，用于测量复杂性、检测过渡阶段和规则动态、区分混沌动态和随机动态；以及用于检测心律失常心电图心跳的真实数据。