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arXiv 1503.01631stat.CO
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序贯拟蒙特卡罗方法在自主定位中的应用

Application of Sequential Quasi-Monte Carlo to Autonomous Positioning

Nicolas Chopin, Mathieu Gerber

摘要:

序贯蒙特卡罗算法(也称为粒子滤波器)是用于近似状态空间模型的滤波(和相关)分布的流行方法。然而,它们以缓慢的$1/\sqrt{N}$速率收敛,这在实时数据密集型场景中可能是一个问题。我们简要介绍了SQMC(顺序准蒙特卡罗),这是基于Gerber和Chopin(2015)提出的低差异点集的SMC变体,它以更快的速度收敛,我们说明了SQMC在自主定位问题上的更高性能。

英文摘要:

Sequential Monte Carlo algorithms (also known as particle filters) are popular methods to approximate filtering (and related) distributions of state-space models. However, they converge at the slow $1/\sqrt{N}$ rate, which may be an issue in real-time data-intensive scenarios. We give a brief outline of SQMC (Sequential Quasi-Monte Carlo), a variant of SMC based on low-discrepancy point sets proposed by Gerber and Chopin (2015), which converges at a faster rate, and we illustrate the greater performance of SQMC on autonomous positioning problems.

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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