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NC-SSM:超越对角状态空间模型的非交换群跟踪

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NC-SSM 提出非对角状态空间模型框架,突破 SSM 转换矩阵可交换性限制,基于 Aff_D 仿射变换群(导出长度 580,000× 优势)实现精确非阿贝尔群追踪。在 Dyck-2 上达 74.36%、深度 AST 范围追踪达 30.26%(p = 0.0081),死推误差 0.04°,并验证严格等距性是无损长程关联记忆的数学必要条件。代码与可复现基准已公开。

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Oct 2, 2026
  1. arXiv · Machine Learning Theory
    超越对角状态空间模型:精确非阿贝尔群追踪、可解性障碍与几何物理流形

    NC-SSM 提出非对角状态空间模型框架,突破 SSM 转换矩阵可交换性限制,基于 Aff_D 仿射变换群(导出长度 580,000x 优势)实现精确非阿贝尔群追踪。在 Dyck-2 上达 74.36%、深度 AST 范围追踪达 30.26%(p = 0.0081),死推误差 0.04°,并验证严格等距性是无损长程关联记忆的数学必要条件。代码与可复现基准已公开。

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