跳变马尔可夫线性系统的贝叶斯参数辨识
Bayesian Parameter Identification for Jump Markov Linear Systems
摘要:
本文提出了一种跳变马尔可夫线性系统参数辨识的贝叶斯方法。一个主要的动机是提供准确的量化参数的不确定性,而不依赖于渐近的数据长度参数。为了实现这一点,本文详细介绍了粒子吉布斯抽样方法,提供所需的后验分布的样本。这些样本是通过利用修改后的离散粒子滤波器和精心选择的共轭先验。
英文摘要:
This paper presents a Bayesian method for identification of jump Markov linear system parameters. A primary motivation is to provide accurate quantification of parameter uncertainty without relying on asymptotic in data-length arguments. To achieve this, the paper details a particle-Gibbs sampling approach that provides samples from the desired posterior distribution. These samples are produced by utilising a modified discrete particle filter and carefully chosen conjugate priors.
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