arXiv:2608.16569cs.LG2026-08

用新方法精准重建大脑神经信号,跨人通用性强且计算快。

Learning Generalizable Reconstruction of High-Dimensional Neural Dynamics

论文配图:Learning Generalizable Reconstruction of High-Dimensional Neural Dynamics
图 1 · 摘自论文原文
  • 先降维再学动态演化,通过反投影拼接重建信号
  • 跨被试零样本泛化时相关性超0.95,误差仅0.0072
  • 适合需要高效重建高维神经数据的研究者

准确重建长时间神经记录具有挑战性,因局部场电位(LFP)具有高分辨率、多通道、瞬态且跨被试可变的特点。本文提出PCA-DMD,一种可扩展的算子理论框架:将LFP分段重叠,投影至紧凑主成分分析(PCA)空间,在潜在空间中学习线性Koopman演化,并通过逆投影与重叠相加聚合重构连续信号。在20万样本海马体记录上,其性能优于经典DMD、SpDMD、MrDMD和HODMD,达到KLD=0.0761和HD=0.0847。所有被试间零样本泛化在30万样本下相关性为0.9504–0.9800,HD=0.0010–0.0072,KLD=0.0005–0.0022,无需目标被试微调。外部样本时间预测显示,未见区间多通道信号的一步预测高度一致。从40万到90万样本的可扩展性分析表明,零样本重建保持稳定,平均相关性约0.965–0.968,计算成本可控增长。独立93通道Allen Neuropixels数据验证显示,通道级平均与中位相关性分别为0.7427和0.7990。Koopman谱分析揭示主导特征值集中于单位圆附近。因此,PCA-DMD提供了一种可解释、可泛化、计算高效的高维神经动力学重建框架。

原文摘要 · Abstract (English)

Accurate reconstruction of long-duration neural recordings is challenging because local field potentials (LFPs) are high-resolution, multichannel, transient, and variable across subjects. We present PCA-DMD, a scalable operator-theoretic framework that segments LFP recordings into overlapping windows, projects them into a compact PCA space, learns linear Koopman evolution in the latent space, and reconstructs continuous signals through inverse projection and overlap-add aggregation. On 200,000-sample hippocampal recordings, PCA-DMD outperformed Classical DMD, SpDMD, MrDMD, and HODMD, achieving KLD=0.0761 and HD=0.0847. In all-pair cross-subject zero-shot generalization at 300,000 samples, correlations were 0.9504-0.9800, with HD=0.0010-0.0072 and KLD=0.0005-0.0022, without target-subject fine-tuning. Out-of-sample temporal prediction showed close one-step agreement on temporally held-out LFP segments across the unseen interval and multiple channels. Scalability analysis from 400,000 to 900,000 samples showed stable zero-shot reconstruction, with mean correlation remaining about 0.965-0.968 while computational cost increased predictably. External validation on an independent 93-channel Allen Neuropixels recording yielded mean and median channel-wise correlations of 0.7427 and 0.7990, respectively. Koopman spectral and mode analyses revealed dominant eigenvalues concentrated near the unit circle. PCA-DMD therefore provides an interpretable, generalizable, and computationally scalable framework for reconstructing high-dimensional neural dynamics.

神经动力学信号重建Koopman可泛化

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