通过尾部依赖分析,精准识别癫痫发作时脑区异常连接模式。
Canonical Tail Dependence for Soft Extremal Clustering of Multichannel Brain Signals

- 提出基于极值尾部的典型依赖度量,定位驱动异常信号的关键脑电通道。
- 在新生儿数据上实现高精度频率软聚类,区分有无癫痫发作的个体。
- 适用于癫痫风险预警,尤其适合关注特定脑区作用的临床研究。
我们提出一种新方法,用于刻画大脑皮层两个区域在信号幅值极端增大时的极值依赖关系。研究表明,分布尾部的连接性可揭示极端事件(如癫痫发作)的独特特征,有助于识别其发生。已有大量研究证明,基于连接性的特征能有效区分不同脑状态。本文方法进一步显示:尾部连接性提供额外判别能力,提升极端事件识别精度与癫痫风险评估效果。传统尾部依赖建模常使用成对统计量或参数模型,但无法识别两组信号间最大尾部依赖所对应的主导通道——这对癫痫患者脑电图分析尤为重要。我们扩展经典典型相关分析至尾部,构建极值通道贡献可视化工具。通过尾部成对依赖矩阵(TPDM),提出高效计算估计器。该方法成功应用于新生儿频率基软聚类,准确区分有无癫痫发作者。
原文摘要 · Abstract (English)
We develop a novel characterization of extremal dependence between two cortical regions of the brain when its signals display extremely large amplitudes. We show that connectivity in the tails of the distribution reveals unique features of extreme events (e.g., seizures) that can help to identify their occurrence. Numerous studies have established that connectivity-based features are effective for discriminating brain states. Here, we demonstrate the advantage of the proposed approach: that tail connectivity provides additional discriminatory power, enabling more accurate identification of extreme-related events and improved seizure risk management. Common approaches in tail dependence modeling use pairwise summary measures or parametric models. However, these approaches do not identify channels that drive the maximal tail dependence between two groups of signals -- an information that is useful when analyzing electroencephalography of epileptic patients where specific channels are responsible for seizure occurrences. A familiar approach in traditional signal processing is canonical correlation, which we extend to the tails to develop a visualization of extremal channel-contributions. Through the tail pairwise dependence matrix (TPDM), we develop a computationally-efficient estimator for our canonical tail dependence measure. Our method is then used for accurate frequency-based soft clustering of neonates, distinguishing those with seizures from those without.
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