arXiv:2603.07957cs.LGcs.AI2026-03被引 1

将物理规律嵌入网络结构,实现低资源下高精度大气湍流实时估计。

PSTNet: Physically-Structured Turbulence Network

  • 用物理理论构建无参数主干,结合分治专家网络与条件调制层
  • 在340次仿真中提升2.8%命中率,78%胜率且效果显著
  • 仅552个可训练参数,适合嵌入式飞行控制系统

可靠地实时估算大气湍流强度仍是飞机在不同高度层飞行时的开放挑战,尤其是在缺乏观测基础设施的海洋、极地和数据稀疏区域。传统谱模型仅反映气候平均值,而非瞬时大气状态;通用机器学习回归器虽具适应性,但无法保证预测符合基本标度律。本文提出物理结构化湍流网络(PSTNet),一种轻量级架构,将物理规律直接嵌入其结构中。PSTNet融合四个组件:(i) 基于莫宁-奥布霍夫理论的无参数主干,(ii) 由理查德森数导出软标签监督的分域门控专家子网络混合,(iii) 以局部空气密度比调节隐藏表示的特征逐维线性调制层,(iv) 强制惯性子区标度律的柯尔莫戈洛夫输出层。全模型仅含552个可训练参数,存储需求低于2.5 kB,可在Cortex-M7微控制器上12秒内完成推理。我们在340组六自由度引导仿真中验证了PSTNet,覆盖三种飞行器类型(马赫数2.8、4.5、8.0)和六类任务,结合实时卫星气象数据输入。PSTNet实现均方误距提升2.8%,胜率达78%,且效应量具有统计显著性。结果表明,将领域物理知识作为架构先验,比单纯扩大模型容量更高效、可解释,使PSTNet成为资源受限、安全关键机载引导系统中替代传统查表法的可行方案。

原文摘要 · Abstract (English)

Reliable real-time estimation of atmospheric turbulence intensity remains an open challenge for aircraft operating across diverse altitude bands, particularly over oceanic, polar, and data-sparse regions that lack operational nowcasting infrastructure. Classical spectral models encode climatological averages rather than the instantaneous atmospheric state, and generic ML regressors offer adaptivity but provide no guarantee that predictions respect fundamental scaling laws. This paper introduces the Physically-Structured Turbulence Network (PSTNet), a lightweight architecture that embeds physics directly into its structure. PSTNet couples four components: (i) a zero-parameter backbone derived from Monin-Obukhov theory, (ii) a regime-gated mixture of specialist sub-networks supervised by Richardson-number-derived soft targets, (iii) Feature-wise Linear Modulation layers conditioning hidden representations on local air-density ratio, and (iv) a Kolmogorov output layer enforcing inertial-subrange scaling as an architectural constraint. The entire model contains only 552 learnable parameters, requiring fewer than 2.5 kB of storage and executing in under 12s on a Cortex-M7 microcontroller. We validate PSTNet on 340 paired six-degree-of-freedom guidance simulations spanning three vehicle classes (Mach 2.8, 4.5, and 8.0) and six operational categories with real-time satellite weather ingestion. PSTNet achieves a mean miss-distance improvement of +2.8% with a 78% win rate and a statistically significant effect size. Our results demonstrate that encoding domain physics as architectural priors yields a more efficient and interpretable path to turbulence estimation accuracy than scaling model capacity, establishing PSTNet as a viable drop-in replacement for legacy look-up tables in resource-constrained, safety-critical on-board guidance systems.

湍流估计物理模型嵌入式系统飞行控制

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