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Σ最优滤波中的随机微分方程的Σ点和近似粒子

Sigma point and particle approximations of stochastic differential equations in optimal filtering
课程网址: http://videolectures.net/aispds08_sarkka_sppa/  
主讲教师: Simo Särkkä
开课单位: 赫尔辛基大学
开课时间: 2008-08-05
课程语种: 英语
中文简介:
无迹变换(UT)是一种比较新的近似随机变量非线性变换的方法。它不是经典的泰勒级数近似,而是基于形成一组通过非线性传播的西格玛点。无迹卡尔曼滤波器(UKF)是扩展卡尔曼滤波器(EKF)的一种替代方案,它在滤波器计算中使用了无迹变换。然而,在其原始形式下,UKF是一种离散时间算法,不能直接应用于状态动力学连续时间建模为随机微分方程的估计问题。在本文中,我将回顾最优(贝叶斯)过滤背景下随机微分方程的泰勒级数、西格玛点(无标度)和粒子近似,并介绍这些方法在导航系统和化学过程监测中的一些应用。
课程简介: The unscented transform (UT) is a relatively recent method for approximating non-linear transformations of random variables. Instead of the classical Taylor series approximations, it is based on forming a set of sigma points, which are propagated through the non-linearity. The unscented Kalman filter (UKF) is an alternative to the extended Kalman filter (EKF), which utilizes the unscented transform in the filter computations. However, in its original form, the UKF is a discrete-time algorithm and it cannot be directly applied to estimation problems, where the state dynamics are modeled in continuous-time as stochastic differential equations. In the talk I will review the Taylor series, sigma-point (unscented) and particle approximations of stochastic differential equations in optimal (Bayesian) filtering context and present some applications of the methods in navigation systems and in monitoring of chemical processes.
关 键 词: 非线性变换; 无色卡尔曼滤波器; 随机微分方
课程来源: 视频讲座网
最后编审: 2020-01-16:chenxin
阅读次数: 52