arXiv:2608.29720cs.RO2026-08

用分桶法学习飞行器速度与不确定性,精度显著提升。

VeloBins: Learning Velocity and Its Uncertainty via Bins and Error-Conditioned Gaussian Labels for Aerial Inertial Odometry

论文配图:VeloBins: Learning Velocity and Its Uncertainty via Bins and Error-Conditioned Gaussian Labels for Aerial Inertial Odometry
图 1 · 摘自论文原文
  • 将速度回归转为分桶分类,统一预测速度与不确定性
  • 在四个数据集上速度误差降低3-27%,轨迹误差降低8-53%
  • 无需显式优化损失函数,仍实现最佳滤波一致性

惯性里程计(IO)对无人机至关重要,尤其在剧烈机动和光照不良条件下视觉传感器失效时。现有学习型方法通过融合IMU与平台特定传感器的运动先验,再利用扩展卡尔曼滤波进行融合,但直接回归速度难以训练,且分离解码不确定性并使用负对数似然(NLL)损失会加剧训练复杂性,导致估计过于自信。本文提出VeloBins,将速度回归转化为离散速度分桶的分类任务,通过分桶分布的期望估计速度、方差估计不确定性,无需独立的不确定性解码器。进一步采用以真实速度为中心、标准差等于速度误差的误差条件高斯标签进行显式监督。在四个空中数据集上评估,涵盖自由形态剧烈飞行、27g微型四旋翼及超过21m/s的无人机竞速场景。VeloBins在所有数据集上均达到最低平均误差,相比最强基线,速度误差降低3-27%,相对轨迹误差降低8-40%,绝对轨迹误差降低6-53%。值得注意的是,该监督方式虽未优化NLL损失,却实现了最低的NLL值和最佳滤波一致性。代码将在论文接受后公开。

原文摘要 · Abstract (English)

Inertial odometry (IO) is critical for aerial robots, where aggressive maneuvers and poor lighting degrade visual sensors. Recent learning-based IO methods improve traditional integration-based approaches by learning motion priors from IMU and platform-specific sensors, then fusing the predictions within an extended Kalman filter. However, learning velocity through regression is difficult, while jointly estimating uncertainty with a separate decoder and negative log-likelihood (NLL) loss further complicates training and can lead to over-confident estimates. We introduce VeloBins, which reformulates velocity regression as classification over discretized velocity bins. We decode both the velocity from the bin distribution's expectation and the uncertainty from its variance, removing the need for a separate uncertainty decoder. We further supervise the uncertainty explicitly using an error-conditioned Gaussian label centered at the ground-truth velocity, with a standard deviation set to the velocity error. We evaluate VeloBins on four aerial datasets, ranging from free-form aggressive flights and a 27 g nano-quadrotor to drone racing at over 21~m/s. VeloBins achieves the lowest average errors on all four datasets, reducing velocity, relative trajectory, and absolute trajectory errors by 3-27%, 8-40%, and 6-53%, respectively, compared with the strongest baseline. Notably, the proposed supervision achieves the lowest NLL and best filter consistency despite never optimizing an NLL loss. The code will be available upon acceptance.

惯性里程计速度估计不确定性建模无人机

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