School of Biomedical Engineering, Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China; Faculty of Information Technology, University of Jyväskylä, Jyväskylä, Finland.
Faculty of Information Technology, University of Jyväskylä, Jyväskylä, Finland.
J Neurosci Methods. 2018 Oct 1;308:240-247. doi: 10.1016/j.jneumeth.2018.07.020. Epub 2018 Aug 2.
Preprocessed Event-related potential (ERP) data are usually organized in multi-way tensor, in which tensor decomposition serves as a powerful tool for data processing. Due to the limitation of computation burden for multi-way data and the low algorithm performance of stability and efficiency, multi-way ERP data are conventionally reorganized into low-order tensor or matrix before further analysis. However, the reorganization may hamper mode specification and spoil the interaction information among different modes.
In this study, we applied a fifth-order tensor decomposition to a set of fifth-order ERP data collected by exerting proprioceptive stimulus on left and right hand. One of the latest nonnegative CANDECOMP/PARAFAC (NCP) decomposition methods implemented by alternating proximal gradient (APG) was employed. We also proposed an improved DIFFIT method to select the optimal component number for the fifth-order tensor decomposition.
By the fifth-order NCP model with a proper component number, the ERP data were fully decomposed into spatial, spectral, temporal, subject and condition factors in each component. The results showed more pairs of components with symmetric activation region in left and right hemisphere elicited by contralateral stimuli on hand.
COMPARISON WITH EXISTING METHOD(S): In our experiment, more interesting components and coherent brain activities were extracted, compared with previous studies.
The discovered activities elicited by proprioceptive stimulus are in line with those in relevant cognitive neuroscience studies. Our proposed method has proved to be appropriate and viable for processing high-order EEG data with well-preserved interaction information among all modes.
预处理后的事件相关电位 (ERP) 数据通常以多维张量的形式组织,其中张量分解是一种强大的数据处理工具。由于多维数据的计算负担限制以及算法在稳定性和效率方面的性能较低,多维 ERP 数据通常在进一步分析之前重新组织为低阶张量或矩阵。然而,这种重组可能会妨碍模式指定并破坏不同模式之间的交互信息。
在这项研究中,我们对手部施加本体感受刺激时采集的一组五阶 ERP 数据应用五阶张量分解。我们使用了交替近端梯度 (APG) 实现的最新非负 CANDECOMP/PARAFAC (NCP) 分解方法之一。我们还提出了一种改进的 DIFFIT 方法来选择五阶张量分解的最佳分量数。
通过具有适当分量数的五阶 NCP 模型,ERP 数据在每个分量中完全分解为空间、光谱、时间、主体和条件因素。结果表明,对侧刺激在手时,左右半球有更多对具有对称激活区域的组件。
在我们的实验中,与以前的研究相比,提取出了更多有趣的组件和相干的大脑活动。
所发现的本体感受刺激引发的活动与相关认知神经科学研究中的活动一致。我们提出的方法已被证明适用于处理具有所有模式之间交互信息得以良好保留的高阶 EEG 数据。