arXiv:2604.20606cs.CVcs.AI2026-04

改进视觉Mamba的离散化方法,提升动态场景下的建模精度。

Beyond ZOH: Advanced Discretization Strategies for Vision Mamba

论文配图:Beyond ZOH: Advanced Discretization Strategies for Vision Mamba
图 1 · 摘自论文原文
  • 对比六种离散化策略,发现BIL在精度与效率间平衡最佳。
  • 多项式与高阶保持法显著提效,但训练开销大。
  • 适合追求高精度且可接受稍高计算成本的研究者使用。

Vision Mamba作为状态空间模型(SSM),采用零阶保持(ZOH)离散化,假设信号在采样点间保持恒定。这一假设在动态视觉环境中会降低时间保真度,限制现代基于SSM的视觉模型精度。本文系统比较了六种离散化方案在Vision Mamba框架中的表现:ZOH、一阶保持(FOH)、双线性变换(BIL)、多项式插值(POL)、高阶保持(HOH)和四阶龙格-库塔法(RK4)。在图像分类、语义分割和目标检测标准基准上评估各方法影响。结果表明,POL与HOH在精度上提升最大,但训练开销较高;而BIL在仅增加少量计算成本的前提下,持续优于ZOH,是精度与效率的最佳平衡选择。研究揭示了离散化在基于SSM的视觉架构中的关键作用,并为当前最先进的SSM模型提供以BIL作为默认离散化基线的实证依据。

原文摘要 · Abstract (English)

Vision Mamba, as a state space model (SSM), employs a zero-order hold (ZOH) discretization, which assumes that input signals remain constant between sampling instants. This assumption degrades temporal fidelity in dynamic visual environments and constrains the attainable accuracy of modern SSM-based vision models. In this paper, we present a systematic and controlled comparison of six discretization schemes instantiated within the Vision Mamba framework: ZOH, first-order hold (FOH), bilinear/Tustin transform (BIL), polynomial interpolation (POL), higher-order hold (HOH), and the fourth-order Runge-Kutta method (RK4). We evaluate each method on standard visual benchmarks to quantify its influence in image classification, semantic segmentation, and object detection. Our results demonstrate that POL and HOH yield the largest gains in accuracy at the cost of higher training-time computation. In contrast, the BIL provides consistent improvements over ZOH with modest additional overhead, offering the most favorable trade-off between precision and efficiency. These findings elucidate the pivotal role of discretization in SSM-based vision architectures and furnish empirically grounded justification for adopting BIL as the default discretization baseline for state-of-the-art SSM models.

视觉Mamba离散化状态空间模型

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