arXiv:2606.06385cs.LG2026-06

用可学习的惯性算子加速水位预测,精度不降且速度提升近万倍。

Learned Response-Field Inertia Operator for HEC-RAS 2D Water-Surface Elevation Prediction

论文配图:Learned Response-Field Inertia Operator for HEC-RAS 2D Water-Surface Elevation Prediction
图 1 · 摘自论文原文
  • 设计无外力输入的增量式神经代理,直接在原始非均匀网格上运行。
  • 在4个不同流域测试中自适应保留复杂度,验证误差最大仅4.30%。
  • 部署时单次推理最快0.003秒,实测比原模型快2.75万倍。

本文对基于原始非均匀计算单元的隐式求解器一致水位预测方法进行了跨数据集评估。为避免栅格重映射误差与信息访问混淆,代理模型在原始网格上直接评估,明确分离静态项目输入、当前水力状态、项目输入驱动、校准量及未来求解输出目标。提出一种无需外力输入的增量式可学习响应场惯性算子(LRFIO),通过解析已求解的HEC-RAS轨迹校准惯性响应算子,并以闭式原生单元滚动方式部署。评估了从基础-首次响应到全局校准惯性、分段响应场惯性的层级结构;分割、残差修正与神经化惯性作为可学习建模选择,仅在验证证据支持时才引入额外复杂度。在四个多样化二维水动力模型基准上,LRFIO能根据不同区域特性保留不同响应结构,展现自适应学习复杂度能力。选择器审计显示控制复杂度,最大验证遗憾为4.30%。部署时滚动时间范围为0.003秒至0.242秒,贝弗尔湾案例对比实测求解结果,估计其在时间尺度归一化下实现2.75×10⁴倍加速。结果表明,当前原生单元增量是强求解器条件下的优异预测骨架,而附加响应场、神经或空间复杂度仅应在实证支持时保留。

原文摘要 · Abstract (English)

This article presents a cross-dataset evaluation of learned native-cell surrogate models for solver-consistent water-surface elevation (WSE) prediction in HEC-RAS 2D. To avoid raster remapping error and information-access confounding, surrogates are evaluated directly on the original nonuniform computational cells under an explicit policy that separates static project inputs, current hydraulic state, project-input forcing, calibration-derived quantities, and future solver-output targets. We introduce the Learned Response-Field Inertia Operator (LRFIO), a no-forcing, increment-based learned surrogate that calibrates an inertial response operator from solved HEC-RAS trajectories and deploys the retained operator through closed-form native-cell rollout. LRFIO evaluates a base-case-first response hierarchy consisting of persistence, global calibrated inertia, and segmented response-field inertia. Segmentation, residual correction, and neuralized inertia are treated as learnable modeling choices, with added complexity retained only when validation evidence justifies its cost. Evaluated across four diverse HEC-RAS 2D benchmarks, LRFIO retains different response structures for different domains, demonstrating adaptive learned complexity. The selector audit shows controlled complexity with a maximum validation regret of 4.30%. During deployment, retained rollout times range from 0.003 s to 0.242 s, and the Beaver Bayou measured-solve comparison gives an estimated 2.75 x 10^4 horizon-normalized speedup over HEC-RAS. These results indicate that the current native-cell increment is a strong solver-conditioned predictive scaffold and that added response-field, neural, or spatial complexity should be retained only when empirically justified.

水文模拟神经代理加速求解智能水利

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