通过动态路由提升跨被试脑电解码,无需目标数据校准
Routing on the Stiefel Manifold: When Does Adaptive Subspace Selection Help for Cross-Domain EEG Decoding?
- 设计专家投影滤波器池,按输入自动分配最适滤波器
- 跨三数据集准确率提升至0.839,避免均匀加权退化
- 适合需要免校准跨被试解码的研究者
尽管黎曼深度学习取得进展,跨被试脑电信号解码仍具挑战:不同被试的协方差矩阵位于对称正定(SPD)流形的不同区域。现有域适应方法或需目标域校准数据,或学习个体特异性组件而无法泛化。本文提出动态施蒂费尔流形路由:在施蒂费尔流形上设置K个专家投影滤波器,每个专用于SPD流形特定区域,输入协方差通过交叉注意力路由至最优滤波器,实现样本级子空间投影自适应。关键发现:若路由权重均匀,该方法等价于专家平均,退化为固定滤波器。三个结构特性打破此退化:对称基锚 $W_{\mathrm{base}} \in \mathrm{St}(n,k)$ 消除专家间邻近偏倚;冻结的域判别查询编码器使路由与任务优化解耦;分离的关键对齐损失促使专家键向稳定域吸引子收敛。三组数据集上平衡准确率分别从0.773→0.823、0.757→0.809、0.801→0.839,对齐策略由单一数据驱动规则自动确定,无需针对数据集调参。
原文摘要 · Abstract (English)
Cross-domain EEG decoding remains challenging despite advances in Riemannian deep learning: covariance matrices from different subjects occupy systematically distinct regions of the SPD manifold, yet existing domain adaptation methods either require target-domain calibration data or learn subject-specific components that cannot generalise across domains. We propose dynamic Stiefel routing: a pool of $K$ expert projection filters on the Stiefel manifold, each specialised for a different region of the SPD manifold, with each input covariance routed to the most appropriate filter via cross-attention, adapting the subspace projection per sample. A central finding is that this approach, implemented naively, provably collapses to ensemble averaging: when routing weights are uniform, the adaptive filter reduces exactly to an equal-contribution combination of experts, indistinguishable from a single fixed filter. Three structural properties break this degeneracy: a symmetric anchor $W_{\mathrm{base}} \in \mathrm{St}(n,k)$ that removes proximity bias among experts; a frozen domain-discriminative query encoder that decouples routing from task optimisation; and a decoupled key alignment loss that trains expert keys toward stable domain attractors. Together they produce the first genuinely committed and domain-structured routing on SPD manifolds, with consistent gains across three datasets: balanced accuracy improves from $0.773\to 0.823$, $0.757\to 0.809$, and $0.801\to 0.839$, with the alignment strategy determined automatically by a single data-driven rule and no dataset-specific hyperparameter search.
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