论文标题

基于随机傅立叶功能的大满贯

Random Fourier Features based SLAM

论文作者

Kapushev, Yermek, Kishkun, Anastasia, Ferrer, Gonzalo, Burnaev, Evgeny

论文摘要

这项工作致力于基于高斯流程(GP)的同时连续时间轨迹估计和映射。基于最先进的GP同时定位和映射模型(SLAM)是计算上有效的,但只能与受限类的内核函数一起使用。本文提供了基于GP的算法,具有随机傅立叶特征(RFF)的近似值,而没有任何约束。 RFF在连续时间大满贯中的优点是,我们可以考虑一类更广泛的内核,同时通过在功能的傅立叶空间中运行,以合理较低的水平保持计算复杂性。精度速度权衡可以由功能数量控制。我们对合成和现实基准测试的实验结果证明了与当前最新技术相比,我们的方法提供了更好的结果。

This work is dedicated to simultaneous continuous-time trajectory estimation and mapping based on Gaussian Processes (GP). State-of-the-art GP-based models for Simultaneous Localization and Mapping (SLAM) are computationally efficient but can only be used with a restricted class of kernel functions. This paper provides the algorithm based on GP with Random Fourier Features (RFF) approximation for SLAM without any constraints. The advantages of RFF for continuous-time SLAM are that we can consider a broader class of kernels and, at the same time, maintain computational complexity at reasonably low level by operating in the Fourier space of features. The accuracy-speed trade-off can be controlled by the number of features. Our experimental results on synthetic and real-world benchmarks demonstrate the cases in which our approach provides better results compared to the current state-of-the-art.

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