arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2204.04845q-bio.NCq-bio.QMstat.AP
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功能性和因果性神经连接组学的统计透视:时间感知的PC算法

Statistical Perspective on Functional and Causal Neural Connectomics: The Time-Aware PC Algorithm

Rahul Biswas, Eli Shlizerman

摘要:

大脑中神经元之间基于其活动的信息流的表示被称为因果功能连接体。这种表征结合了神经元活动的动态性质和它们之间的因果相互作用。与连接体不同,因果功能连接体不能直接观察到,需要从神经时间序列中推断。一个流行的统计框架推断因果连接的观察是有向概率图形建模。它的共同制定是不适合神经时间序列,因为是独立和相同分布的静态样本的变量。在这项工作中,我们提出了一种新的方法,适应定向概率图形建模的时间序列的情况下,从神经时间序列的因果功能连接的模型和估计。特别是,我们开发的时间感知PC(TPC)算法估计的因果功能连接,适应PC算法的统计因果推理的最先进的方法。我们发现,TPC的模型结果具有反映神经相互作用的因果关系,如非参数的属性,表现出有向马尔可夫性质的时间序列设置,并预测的后果,反事实干预的时间序列。我们证明了该方法的实用性,以获得因果功能连接体的几个数据集,包括模拟,基准数据集,和最近的多阵列电生理记录从小鼠视觉皮层。

英文摘要:

The representation of the flow of information between neurons in the brain based on their activity is termed the causal functional connectome. Such representation incorporates the dynamic nature of neuronal activity and causal interactions between them. In contrast to connectome, the causal functional connectome is not directly observed and needs to be inferred from neural time series. A popular statistical framework for inferring causal connectivity from observations is the directed probabilistic graphical modeling. Its common formulation is not suitable for neural time series since was developed for variables with independent and identically distributed static samples. In this work, we propose to model and estimate the causal functional connectivity from neural time series using a novel approach that adapts directed probabilistic graphical modeling to the time series scenario. In particular, we develop the Time-Aware PC (TPC) algorithm for estimating the causal functional connectivity, which adapts the PC algorithm a state-of-the-art method for statistical causal inference. We show that the model outcome of TPC has the properties of reflecting causality of neural interactions such as being non-parametric, exhibits the directed Markov property in a time-series setting, and is predictive of the consequence of counterfactual interventions on the time series. We demonstrate the utility of the methodology to obtain the causal functional connectome for several datasets including simulations, benchmark datasets, and recent multi-array electro-physiological recordings from the mouse visual cortex.

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