arXiv:2602.19406cs.LGmath.OC2026-02被引 2

用可微神经动力模型实现高效精准的气象数据融合

LEVDA: Latent Ensemble Variational Data Assimilation via Differentiable Dynamics

  • 在预训练神经动力模型的低维隐空间中做四维变分优化
  • 观测稀疏下精度超越现有方法,且不确定性估计更可靠
  • 无需伴随代码,支持任意时空采样,适合气象预报场景

长期地球物理预测受混沌动力学和数值误差的根本限制。虽然数据同化能缓解这些问题,但传统变分平滑器需要计算量巨大的切线线性模型和伴随模型。相比之下,近期高效的隐空间滤波方法通常施加较弱的轨迹约束,并假设观测网格固定。为弥合这一差距,我们提出隐空间集合变分数据同化(LEVDA),一种在预训练可微神经动力代理模型的低维隐空间中运行的集合空间变分平滑器。通过在集合子空间内执行四维集合变分(4DEnVar)优化,LEVDA 联合同化状态与未知参数,无需伴随代码或辅助观测到隐空间编码器。利用代理模型完全可微、连续时空的特性,LEVDA 自然适应任意时空位置的高度不规则采样。在三个具有挑战性的地球物理基准测试中,LEVDA 在严重观测稀疏条件下达到或超越最先进的隐空间滤波基线,同时提供更可靠的不确定性量化;相较于全状态4DEnVar,其同化精度和计算效率均有显著提升。

原文摘要 · Abstract (English)

Long-range geophysical forecasts are fundamentally limited by chaotic dynamics and numerical errors. While data assimilation can mitigate these issues, classical variational smoothers require computationally expensive tangent-linear and adjoint models. Conversely, recent efficient latent filtering methods often enforce weak trajectory-level constraints and assume fixed observation grids. To bridge this gap, we propose Latent Ensemble Variational Data Assimilation (LEVDA), an ensemble-space variational smoother that operates in the low-dimensional latent space of a pretrained differentiable neural dynamics surrogate. By performing four-dimensional ensemble-variational (4DEnVar) optimization within an ensemble subspace, LEVDA jointly assimilates states and unknown parameters without the need for adjoint code or auxiliary observation-to-latent encoders. Leveraging the fully differentiable, continuous-in-time-and-space nature of the surrogate, LEVDA naturally accommodates highly irregular sampling at arbitrary spatiotemporal locations. Across three challenging geophysical benchmarks, LEVDA matches or outperforms state-of-the-art latent filtering baselines under severe observational sparsity while providing more reliable uncertainty quantification. Simultaneously, it achieves substantially improved assimilation accuracy and computational efficiency compared to full-state 4DEnVar.

数据同化神经动力学气象预报隐空间

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