论文标题
功能性脑网络的霍奇分类
Hodge-Decomposition of Functional Brain Networks
论文作者
论文摘要
我们建议通过通过Hodge分解将它们分解为三个正交组件来分析动态变化的大脑网络。我们建议量化每个组件的大小和相对强度。我们以已知的地面真理进行了广泛的模拟研究。然后将HODGE分解应用于从静止状态磁共振成像研究中获得的动态变化的人脑网络。我们的结果表明，Hodge分解的组成部分包含具有生物学上可解释的拓扑特征，这些特征提供了统计上显着的发现，不容易被传统方法捕获。
We propose to analyze dynamically changing brain networks by decomposing them into three orthogonal components through the Hodge decomposition. We propose to quantify the magnitude and relative strength of each component. We performed extensive simulation studies with known ground truth. The Hodge decomposition is then applied to the dynamically changing human brain networks obtained from a resting-state functional magnetic resonance imaging study. Our results indicate that the components of the Hodge decomposition contain biologically interpretable topological features that provide statistically significant findings not easily captured by traditional methods.
