Pairwise metrics are often employed to estimate statistical dependencies between brain regions, however they do not capture higher-order information interactions. It is critical to explore higher-order interactions that go beyond paired brain areas in order to better understand information processing in the human brain. To address this problem, we applied multivariate mutual information, specifically, Total Correlation and Dual Total Correlation to reveal higher-order information in the brain. In this paper, we estimate these metrics using matrix-based R\'enyi's entropy, which offers a direct and easily interpretable approach that is not limited by direct assumptions about probability distribution functions of multivariate time series. We applied these metrics to resting-state fMRI data in order to examine higher-order interactions in the brain. Our results showed that the higher-order information interactions captured increase gradually as the interaction order increases. Furthermore, we observed a gradual increase in the correlation between the Total Correlation and Dual Total Correlation as the interaction order increased. In addition, the significance of Dual Total Correlation values compared to Total Correlation values also indicate that the human brain exhibits synergy dominance during the resting state.

翻译：成对度量通常用于估计脑区之间的统计依赖性，但无法捕捉高阶信息交互。为了更深入地理解人脑的信息处理机制，探索超越成对脑区的高阶交互至关重要。针对这一问题，我们采用多元互信息方法，具体应用总相关和双总相关来揭示人脑中的高阶信息。本文基于矩阵Rényi熵估计这些度量指标，该方法提供了一种直接且易于解释的途径，且不受多变量时间序列概率分布函数直接假设的约束。我们将这些指标应用于静息态fMRI数据，以检验人脑中的高阶交互作用。结果表明，随着交互阶数的增加，所捕捉到的高阶信息交互逐渐增强。此外，我们观察到总相关与双总相关之间的相关性随交互阶数增加而逐渐增强。同时，双总相关数值相对于总相关数值的显著性也表明，人脑在静息状态下表现出协同优势。