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新的几何框架简化了结构化状态空间模型

研究人员引入了一种新颖的几何框架,用于构建离散时间结构化状态空间模型(SSM),这是 Mamba 等架构的基础。这种新方法利用滞后算子直接推导出离散时间递归,提供了更直观和模块化的设计。该框架允许通过组合不同的基函数和时间扭曲方案来创建新的 SSM,其中一个具体实例被证明可以精确复制 HiPPO 模型中的递归。 AI

影响 为设计更灵活、更鲁棒的序列模型提供了新的理论工具,可能影响未来的架构。

排序理由 该集群包含一篇详细介绍序列建模新理论框架的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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新的几何框架简化了结构化状态空间模型

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该集群包含一篇详细介绍序列建模新理论框架的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Sutashu Tomonaga, Kenji Doya, Noboru Murata ·

    Lag Operator SSMs:结构化状态空间建模的几何框架

    arXiv:2512.18965v2 Announce Type: replace Abstract: Structured State Space Models (SSMs), which are at the heart of the recently popular Mamba architecture, are powerful tools for sequence modeling. However, their theoretical foundation relies on a complex, multistage process of …