arXiv:2503.21802stat.APcs.LG2025-03被引 2

提出新方法提升脑肌信号融合分析的准确性与可解释性

Structured and sparse partial least squares coherence for multivariate cortico-muscular analysis

  • 结合稀疏性与结构约束优化脑肌信号共享空间
  • 在小样本高噪声下表现优于现有方法
  • 适合神经疾病评估中的脑肌通路分析

多变量脑肌分析近年来成为评估脊髓神经通路的有力工具,但现有方法面临高维数据和样本量有限的挑战。本文提出结构化稀疏偏最小二乘相干性算法(ssPLSC),通过集成基于偏最小二乘(PLS)的目标函数、稀疏性约束和基于连接性的结构约束,在统一框架内提取与脑肌交互相关的共享潜在表示。我们设计了一种高效的交替迭代算法求解优化问题,并实验验证其收敛性。在合成数据及多个真实数据集上的大量实验表明,ssPLSC在小样本和高噪声场景下性能优于或媲美主流多变量脑肌融合方法。该研究为脑肌分析提供了一种新颖的多变量融合工具,有助于神经系统疾病中脊髓通路完整性评估。

原文摘要 · Abstract (English)

Multivariate cortico-muscular analysis has recently emerged as a promising approach for evaluating the corticospinal neural pathway. However, current multivariate approaches encounter challenges such as high dimensionality and limited sample sizes, thus restricting their further applications. In this paper, we propose a structured and sparse partial least squares coherence algorithm (ssPLSC) to extract shared latent space representations related to cortico-muscular interactions. Our approach leverages an embedded optimization framework by integrating a partial least squares (PLS)-based objective function, a sparsity constraint and a connectivity-based structured constraint, addressing the generalizability, interpretability and spatial structure. To solve the optimization problem, we develop an efficient alternating iterative algorithm within a unified framework and prove its convergence experimentally. Extensive experimental results from one synthetic and several real-world datasets have demonstrated that ssPLSC can achieve competitive or better performance over some representative multivariate cortico-muscular fusion methods, particularly in scenarios characterized by limited sample sizes and high noise levels. This study provides a novel multivariate fusion method for cortico-muscular analysis, offering a transformative tool for the evaluation of corticospinal pathway integrity in neurological disorders.

脑肌分析信号融合稀疏建模

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