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Dynamical systems analysis applied to working memory data

机译:动态系统分析应用于工作内存数据

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In the present paper we investigate weekly fluctuations in the working memory capacity (WMC) assessed over a period of 2 years. We use dynamical system analysis, specifically a second order linear differential equation, to model weekly variability in WMC in a sample of 112 9th graders. In our longitudinal data we use a B-spline imputation method to deal with missing data. The results show a significant negative frequency parameter in the data, indicating a cyclical pattern in weekly memory updating performance across time. We use a multilevel modeling approach to capture individual differences in model parameters and find that a higher initial performance level and a slower improvement at the MU task is associated with a slower frequency of oscillation. Additionally, we conduct a simulation study examining the analysis procedure's performance using different numbers of B-spline knots and values of time delay embedding dimensions. Results show that the number of knots in the B-spline imputation influence accuracy more than the number of embedding dimensions.
机译:在本文中,我们调查了在2年中评估的每周工作记忆容量(WMC)的波动。我们使用动力学系统分析,尤其是二阶线性微分方程,对112名9年级学生的WMC模型中的每周变化进行建模。在我们的纵向数据中,我们使用B样条插补方法来处理缺失数据。结果显示数据中有一个显着的负频率参数,表明每周内存更新性能随时间变化的周期性模式。我们使用多级建模方法来捕获模型参数中的个体差异,并且发现MU任务的较高初始性能水平和较慢改进与较低的振荡频率相关。此外,我们进行了仿真研究,使用不同数量的B样条结和时间延迟嵌入维的值来检查分析过程的性能。结果表明,B样条插补中的结数对精度的影响大于嵌入维数。

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