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arXiv 1504.02696cs.RO
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增量稀疏GP回归用于连续时间轨迹估计和映射

Incremental Sparse GP Regression for Continuous-time Trajectory Estimation & Mapping

Georgia Institute of Technology(佐治亚理工学院);Technion - Israel Institute of Technology(以色列理工学院)

Xinyan Yan, Vadim Indelman, Byron Boots

摘要:

最近的工作同步轨迹估计和映射(STEAM)的移动机器人已经成功地将轨迹表示为高斯过程。高斯过程可以表示连续时间轨迹,优雅地处理异步和稀疏测量,并允许机器人查询轨迹以在任何感兴趣的时间恢复其估计位置。这种方法的一个主要缺点是,STEAM被公式化为批量估计问题。在本文中,我们提供了必要的关键扩展,将现有的批处理算法转化为一个非常有效的增量算法。特别是,我们能够大大加快解决方案的时间,通过有效的变量重新排序和增量稀疏更新,我们相信这将大大提高机器人映射和定位的高斯过程方法的实用性。最后,我们证明了该方法及其在合成和真实数据集上的优势。

英文摘要:

Recent work on simultaneous trajectory estimation and mapping (STEAM) for mobile robots has found success by representing the trajectory as a Gaussian process. Gaussian processes can represent a continuous-time trajectory, elegantly handle asynchronous and sparse measurements, and allow the robot to query the trajectory to recover its estimated position at any time of interest. A major drawback of this approach is that STEAM is formulated as a batch estimation problem. In this paper we provide the critical extensions necessary to transform the existing batch algorithm into an extremely efficient incremental algorithm. In particular, we are able to vastly speed up the solution time through efficient variable reordering and incremental sparse updates, which we believe will greatly increase the practicality of Gaussian process methods for robot mapping and localization. Finally, we demonstrate the approach and its advantages on both synthetic and real datasets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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