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arXiv 2006.09536stat.MLcs.LG
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从fMRI与$ψ$ -学习合并线性非高斯非循环模型($ψ$ - LiNGAM)的脑连接的因果推断

Causal inference of brain connectivity from fMRI with $ψ$-Learning Incorporated Linear non-Gaussian Acyclic Model ($ψ$-LiNGAM)

Tulane University(杜兰大学);University of Nebraska Medical Center(内布拉斯加大学医学中心);Mind Research Network(心智研究网络);Georgia State University(佐治亚州立大学);Georgia Institute of Technology(佐治亚理工学院);Emory University(埃默里大学)

Aiying Zhang, Gemeng Zhang, Biao Cai, Wenxing Hu, Li Xiao, Tony W. Wilson, Julia M. Stephen, Vince D. Calhoun, Yu-Ping Wang

摘要:

功能连接(FC)已经成为通过识别大脑网络相互作用以及最终这些相互作用如何产生认知来理解大脑功能的主要手段。FC的一个流行定义是通过测量大脑区域之间的统计关联。然而,这可能是有问题的,因为关联只能提供空间联系,而不能提供感兴趣区域之间的因果互动。因此,有必要研究它们之间的因果关系。有向无环图(DAG)模型在FC研究中得到了广泛应用,但常常遇到样本量有限、变量数目多(即高维问题)等问题,导致计算困难和收敛性问题。因此,DAG模型的使用是有问题的,其中DAG模型的识别通常是非确定性多项式时间困难(NP-困难)的。为此,我们提出了一个$ψ$学习纳入线性非高斯非循环模型($ψ$ -LiNGAM)。我们使用的关联模型($ψ$ -学习),以促进因果推断和模型的工作,特别是高维的情况下。仿真结果表明,该方法在检测图的结构和方向方面比现有的几种方法具有更好的鲁棒性和准确性。然后,我们将其应用于从公开的费城神经发育队列(PNC)获得的静息状态fMRI(rsfMRI)数据,以研究认知差异,其中包括855名8-22岁的个体。其中,我们已经确定了三种类型的枢纽结构:在枢纽,出枢纽和和枢纽,分别对应于接收,发送和中继信息的中心。我们还发现了16对最重要的因果流。其中几个结果已被证实具有生物学意义。

英文摘要:

Functional connectivity (FC) has become a primary means of understanding brain functions by identifying brain network interactions and, ultimately, how those interactions produce cognitions. A popular definition of FC is by statistical associations between measured brain regions. However, this could be problematic since the associations can only provide spatial connections but not causal interactions among regions of interests. Hence, it is necessary to study their causal relationship. Directed acyclic graph (DAG) models have been applied in recent FC studies but often encountered problems such as limited sample sizes and large number of variables (namely high-dimensional problems), which lead to both computational difficulty and convergence issues. As a result, the use of DAG models is problematic, where the identification of DAG models in general is nondeterministic polynomial time hard (NP-hard). To this end, we propose a $ψ$-learning incorporated linear non-Gaussian acyclic model ($ψ$-LiNGAM). We use the association model ($ψ$-learning) to facilitate causal inferences and the model works well especially for high-dimensional cases. Our simulation results demonstrate that the proposed method is more robust and accurate than several existing ones in detecting graph structure and direction. We then applied it to the resting state fMRI (rsfMRI) data obtained from the publicly available Philadelphia Neurodevelopmental Cohort (PNC) to study the cognitive variance, which includes 855 individuals aged 8-22 years. Therein, we have identified three types of hub structure: the in-hub, out-hub and sum-hub, which correspond to the centers of receiving, sending and relaying information, respectively. We also detected 16 most important pairs of causal flows. Several of the results have been verified to be biologically significant.

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