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A new approach to automatically generate optimal Poincaré plane from discrete time series

机译:从离散时间序列自动生成最佳庞加莱平面的新方法

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In biologic systems, it is not possible to access the whole system information directly and system dynamics usually need to be predicted from their time series. One approach to analyze these dynamics is to embed time series and extract samples by Poincaré plane in embedding space. In order to extract the best samples from the system, selecting an appropriate plane is crucial. There is no unique way to choose a Poincaré plane and it is highly dependent to the system dynamics. In this study; a new approach is introduced to automatically generate an optimum Poincaré plane from discrete time series, based on maximum transferred information. For this purpose, time series are first embedded; then a parametric Poincaré plane is defined and finally optimized using genetic algorithm. This approach is tested on epileptic EEG signals and the optimum Poincaré plane is obtained with more than 97 % data information transferred.
机译:在生物系统中,不可能直接访问整个系统信息,通常需要根据其时间序列预测系统动态。分析这些动力学的一种方法是将时间序列嵌入并通过Poincaré平面在嵌入空间中提取样本。为了从系统中提取最佳样本,选择合适的平面至关重要。没有选择庞加莱飞机的独特方法,它高度依赖于系统动力学。在这项研究中;引入了一种新方法,可以根据最大的传递信息从离散时间序列自动生成最佳庞加莱平面。为此,首先要嵌入时间序列。然后定义参数庞加莱平面,最后使用遗传算法对其进行优化。该方法在癫痫性脑电信号上进行了测试,并通过传输97%以上的数据信息获得了最佳庞加莱平面。

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