arXiv:2605.06100eess.SPcs.AI2026-05

让卫星定位的误差估计更可信,提升城市复杂环境下的定位可靠性。

CredibleDFGO: Differentiable Factor Graph Optimization with Credibility Supervision

论文配图:CredibleDFGO: Differentiable Factor Graph Optimization with Credibility Supervision
图 1 · 摘自论文原文
  • 引入可微分因子图优化,显式训练协方差可信度。
  • 在深城场景下,水平误差均值与95%分位数均下降。
  • 适合需要可靠定位不确定性的自动驾驶、导航应用。

全球导航卫星系统(GNSS)广泛用于城市导航,但在城市峡谷中其报告的协方差常不可靠。现有可微分因子图优化(DFGO)方法通过求解器学习测量权重,但仅使用位置目标,导致位置估计改善时协方差仍可能过小、过大或方向错误。本文提出可微分因子图优化可信度框架(CredibleDFGO, CDFGO),将协方差可信度作为显式训练目标。通过权重生成网络(WGN)预测每颗卫星的可靠性权重,再由可微分高斯-牛顿求解器映射为位置估计和基于海森矩阵的后验协方差。采用合理的评分规则(负对数似然、能量得分及其组合)端到端监督东-北方向预测分布。在三个UrbanNav测试场景中,协方差可信度持续提升。中等城市和恶劣城市场景定位精度也提高;在深度城市场景中,平均水平误差与95%分位误差均降低。在恶劣城市香港旺角(MK)场景中,CDFGO-Combined将平均水平误差从13.77米降至11.68米,负对数似然从40.63降至6.59,能量得分从12.31降至9.05(对比DFGO MAE)。案例研究显示改进源于轴向一致性增强、局部协方差椭圆更可信及星级重加权。

原文摘要 · Abstract (English)

Global navigation satellite system (GNSS) positioning is widely used for urban navigation, but the covariance reported by the GNSS solver is often unreliable in urban canyons. Existing differentiable factor graph optimization (DFGO) methods learn measurement weighting through the solver, but they still use position-only objectives. As a result, the position estimate may improve while the reported covariance remains too small, too large, or incorrectly oriented. We propose CredibleDFGO (CDFGO), a differentiable GNSS factor graph framework that makes covariance credibility an explicit training target. A Weighting Generation Network (WGN) predicts per-satellite reliability weights, and a differentiable Gauss-Newton solver maps these weights to a position estimate and a Hessian-derived posterior covariance. We use proper scoring rules to supervise the East-North predictive distribution end to end. We study negative log-likelihood (NLL), the energy score (ES), and their combination. Results on three UrbanNav test scenes show consistent gains in covariance credibility. Positioning accuracy also improves on the medium-urban and harsh-urban scenes; on the deep-urban scene, both the mean horizontal error and the 95th-percentile error improve. On the harsh-urban Mong Kok (MK) scene, CDFGO-Combined reduces the mean horizontal error from 13.77 m to 11.68 m, reduces NLL from 40.63 to 6.59, and reduces ES from 12.31 to 9.05 relative to DFGO (MAE). Case studies link the MK improvement to better axis-wise consistency, more credible local covariance ellipses, and satellite-level reweighting.

定位可信度可微分优化卫星导航

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