arXiv:2606.20428cs.RO2026-06

提出自适应联合估计状态与协方差的框架,无需调参即可抗异常值。

ARC: Adaptive Robust Joint State and Covariance Estimation

论文配图:ARC: Adaptive Robust Joint State and Covariance Estimation
图 1 · 摘自论文原文
  • 用自适应鲁棒损失+加权最小二乘更新状态
  • 在杂乱非视距环境中准确恢复真实协方差
  • 适合高精度定位等需可靠不确定性估计场景

传感器测量常受异常值和非高斯噪声影响,导致经典状态估计算法产生偏差且不可靠。鲁棒估计算法虽能剔除异常值,但不估计测量协方差;联合估计算法假设残差为高斯分布且损失函数形状参数固定。本文提出统一的块坐标下降框架,结合感知范数的自适应鲁棒损失、迭代加权最小二乘状态更新及最小加权协方差确定协方差估计器,实现无需人工调参的自适应联合状态与协方差估计。在蒙特卡洛仿真及真实超宽带定位实验中验证,该方法在复杂非视距环境下持续恢复真实内点测量协方差,并在状态估计精度上达到或超过所有基线方法。

原文摘要 · Abstract (English)

Sensor measurements are frequently corrupted by outliers and non-Gaussian noise. These imperfections in the sensor data can cause classical state estimators to generate biased and unreliable state and uncertainty estimates. Robust estimators reject or downweight outliers but do not perform measurement covariance estimation, whereas joint state and covariance estimators assume Gaussian residuals and fixed loss shape parameters. Integrating these two capabilities into a single framework is an opportunity to simultaneously estimate both state and covariance in the presence of outliers. This paper proposes a unified Block-Coordinate Descent framework that combines a norm-aware adaptive robust loss, an Iteratively Reweighted Least-Squares state update, and a Minimum Weighted Covariance Determinant covariance estimator, yielding a self-tuning joint state and covariance estimator. The framework is evaluated in a Monte-Carlo simulation and on real-world ultra-wideband localization experiments in cluttered non-line-of-sight environments. Results show that the proposed estimator consistently recovers the true inlier measurement covariance and matches or exceeds the state estimation accuracy of all baselines, without requiring any manual parameter tuning.

状态估计鲁棒估计协方差估计

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