arXiv:2608.24531cs.CEcs.LG2026-08

在工况变化下实现可校准的结构虚拟传感,提升不确定性预测可靠性。

MoRF-AST: Calibrated Probabilistic Virtual Sensing for Structural Monitoring under Changing Operating Conditions

论文配图:MoRF-AST: Calibrated Probabilistic Virtual Sensing for Structural Monitoring under Changing Operating Conditions
图 1 · 摘自论文原文
  • 基于模态残差流匹配与上下文调节的仿射扩散传输,分离不确定性和尺度变化。
  • 在桥梁基准上实现7.20%的后验均值归一化误差,跨域覆盖误差降低55.9%。
  • 适合需要可信概率预测的结构健康监测场景,尤其应对运行条件漂移问题。

概率性全场重建为结构可靠性评估提供带不确定性的响应证据,但稀疏且含噪的测量数据使推理仍处于欠定状态。现有方法大多忽略离线训练与实际运行分布之间的差异。在此类分布偏移下,后验区间可能失去校准性,导致报告的不确定性丧失概率意义。本文提出模态残差流匹配与上下文条件仿射扩散传输(MoRF-AST),用于在工况变化下的校准结构虚拟传感。MoRF在归一化模态坐标下构建解析高斯参考后验,并仅对后验白化残差训练条件流。部署时,AST从历史传感器数据估计响应尺度,并使用门控、均值保持的Bures-Wasserstein传输调整后验扩散。在桥面板基准测试中,MoRF实现7.20%的后验均值归一化均方根误差(NRMSE),优于两种直接条件流的16.1%和17.9%。在八个漂移交通域中,AST将MoRF的跨域平均覆盖误差从0.0535降至0.0236,降低55.9%,同时保持后验均值精度。相同传输不改善其他模型整体表现,表明校准收益需与基础后验的离散偏差方向一致。MoRF-AST提供一种数据高效的概率全场重建框架,其不确定性在以尺度为主导的运行分布偏移下仍具可解释性。本工作强调了在运行条件变化下校准不确定性的必要性,支持土木与基础设施工程中的可信概率建模与可靠性驱动决策。

原文摘要 · Abstract (English)

Probabilistic full-field reconstruction provides uncertainty-aware response evidence for structural reliability assessment, yet inference from sparse and noisy measurements remains underdetermined. Most existing methods overlook shifts between offline training and operational distributions. Under such shifts, posterior intervals may become miscalibrated, causing the reported uncertainty to lose its probabilistic meaning. This study proposes Modal Residual Flow Matching with Context-Conditioned Affine Spread Transport (MoRF-AST) for calibrated structural virtual sensing under changing operating conditions. MoRF constructs an analytic Gaussian reference posterior in normalized modal coordinates and trains a conditional flow only on posterior-whitened residuals. At deployment, AST estimates response scale from historical measurements at installed sensors and uses gated, mean-preserving Bures-Wasserstein transport to adjust posterior spread. On a bridge-deck benchmark, MoRF achieves a posterior-mean normalized root-mean-square error (NRMSE) of 7.20%, compared with 16.1% and 17.9% for two direct conditional flows. Across eight shifted traffic domains, AST reduces MoRF's cross-domain average coverage error from 0.0535 to 0.0236, a 55.9% reduction, while preserving posterior-mean accuracy. The same transport does not improve the tested alternatives in aggregate, showing that calibration gains require its direction to match the base posterior's dispersion bias. MoRF-AST provides a data-efficient framework for probabilistic full-field reconstruction whose uncertainty remains interpretable under scale-dominated operational distribution shifts. More broadly, this work highlights the need to calibrate uncertainty under changing operational distributions, thereby supporting trustworthy probabilistic modeling and reliability-informed decision-making in civil and infrastructure engineering.

虚拟传感不确定性校准结构健康监测概率建模

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