用深度学习修正陀螺仪偏差,同时分析不确定性和可解释性。
Attribution and Uncertainty Behavior of Learned Residual Gyro Correction for Gyro-Stellar Estimation

- 用1D CNN融合多传感器数据预测陀螺仪残差修正值。
- 发现认知不确定性在异常工况下更敏感,能更好区分正常与扰动状态。
- 通过梯度归因揭示不同轴向的误差响应差异,适合航天导航系统研究者。
本文研究基于深度学习的陀螺仪偏置修正框架中的不确定性分解与可解释性。采用一维卷积神经网络,从陀螺仪和星跟踪器等多传感器输入中预测残余角速率修正值,并将修正结果输入飞行仿真用的陀螺-星图估计算法。网络输出均值修正及依赖输入的异方差性偶然不确定性,而认知不确定性通过多个独立训练模型的集合进行估计。方法在正常条件训练,在正常与结构化扰动(包括加性噪声与时间相关噪声)条件下评估。应用基于梯度的归因方法分析修正值与不确定性输出,实现对状态更新与不确定性估计依据的分解。通过对不同旋转轴与运行模式的归因模式聚合,揭示了轴向特异性行为,并刻画了结构化扰动如何影响偶然与认知不确定性之间的协同作用。不确定性分析显示,偶然不确定性随扰动强度增加而上升,但分布重叠且校准不一致;而认知不确定性在分布偏移时信号更清晰,表明模型间分歧更大。结果表明,两类不确定性互补有效,认知不确定性更擅长识别正常与扰动工况,为混合学习型状态估计组件的行为理解提供依据,并支持下游监测与故障检测应用。
原文摘要 · Abstract (English)
This work investigates uncertainty decomposition and explainability in a deep learning-based framework for gyroscope bias correction. A 1-D Convolutional Neural Network is trained to predict residual angular rate corrections from multi-sensor inputs, including gyroscope and star tracker measurements. The bias corrections are sent to a flight-representative Gyro-Stellar Estimator. The network produces both mean corrections and input-dependent (heteroscedastic) aleatoric uncertainty, while epistemic uncertainty is estimated via an ensemble of independently trained models. The proposed approach is trained under nominal conditions and evaluated in both nominal and structured perturbations that include additive and temporally correlated noise. Gradient-based attribution methods are applied to both the correction and uncertainty outputs, enabling a decomposition of the evidence that drives state updates and uncertainty estimates. By aggregating attribution patterns across rotational axes and regimes, we reveal axis-specific behaviors and characterize how structured perturbations influence the collaboration between aleatoric and epistemic uncertainty. Uncertainty analysis shows that aleatoric uncertainty increases with perturbation intensity, but the distributions overlap and the calibration is not consistent across regimes. On the other hand, epistemic uncertainty gives a clear signal that gets clearer as the distributional shift happens, showing that the models disagree more. These results show that aleatoric and epistemic uncertainty work well together and that epistemic uncertainty is better at distinguishing between nominal and perturbed operating conditions. The results provide insight into the behavior of hybrid learning-based state estimation components and motivate the use of uncertainty for downstream monitoring and fault detection.
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