简化递推分析算法。

Rémi Delage,Toshihiko Nakata
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引用次数: 0

摘要

递推分析的应用受到几个问题的阻碍,包括关键参数的选择、噪声敏感性、计算复杂性或对非稳态系统的分析。虽然在解决这些问题方面取得了巨大进步,但由于所产生的技术往往带有附加参数,且缺乏共识,因此仍阻碍了非专业人员的使用。我们提出了一种基于紧凑型递推图的简化递推分析程序,该程序具有自动参数选择和更强的噪声鲁棒性,适合分析复杂的非稳态系统。这种方法旨在支持将递推分析扩展到目前具有挑战性或未来的应用领域,如大型系统、现场研究或使用机器学习。该方法在合成数据和真实数据上都进行了演示,显示出良好的效果。
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An algorithm for simplified recurrence analysis.
Recurrence analysis applications are hindered by several issues including the selection of critical parameters, noise sensitivity, computational complexity, or the analysis of non-stationary systems. Great progresses have been made by the community to address these issues individually, yet the diversity of resulting techniques with often additional parameters as well as a lack of consensus still impedes its use by nonspecialists. We present a procedure for simplified recurrence analysis based on compact recurrence plots with automatized parameter selection and enhanced noise robustness, and that are suited to the analysis of complex non-stationary systems. This approach aims at supporting the expansion of recurrence analysis for currently challenging or future applications such as for large systems, on-site studies, or using machine learning. The method is demonstrated on both synthetic and real data showing promising results.
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