English(EN) Beyond Diagonal State Space Models: Exact Non-Abelian Group Tracking, Solvability Barriers, and Geometric Physical Manifolds

新的NC-SSM模型克服了Mamba、S4D和LRU的局限性

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-03 04:00

研究人员引入了非交换状态空间模型（NC-SSM），以解决现有选择性状态空间模型（如Mamba）的局限性。这些新模型，包括SO(3)-SSM和Cayley-SSM，将状态转换扩展到紧李群，实现了精确的保持范数的等距。基准测试表明，NC-SSM在跟踪A_5和S_5等复杂群方面显著优于对角线模型，并以最小的漂移保持黎曼流形。 AI

影响引入了新的建模技术，有望提高需要长程联想记忆和复杂群跟踪的任务的性能。

排序理由该条目是一篇介绍新模型和实验结果的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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报道来源 [1]

arXiv cs.LG TIER_1 English(EN) · Zeyu Jia (School of Biomedical Engineering,Technology, Tianjin Medical University, Medical School, Tianjin University) · 2026-10-03 04:00

超越对角线状态空间模型：精确非阿贝尔群跟踪、可解性障碍和几何物理流形

arXiv:2610.00329v1 Announce Type: new Abstract: Selective state space models (SSMs), such as Mamba, S4D, and LRU, are bounded by transition matrix commutativity (A_t A_t' = A_t' A_t) and solvable affine transformation groups (Aff_D of derived length <= 2). Consequently, stacked m…

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报道来源 [1]

超越对角线状态空间模型：精确非阿贝尔群跟踪、可解性障碍和几何物理流形

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