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Sub-sample swapping for Sequential Monte Carlo approximation of high-dimensional densities in the context of complex object tracking

机译:复杂对象跟踪中高维密度的顺序蒙特卡罗近似的子样本交换

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摘要

In this paper, we address the problem of complex object tracking using the particle filter framework, which essentially amounts to estimate high-dimensional distributions by a sequential Monte Carlo algorithm. For this purpose, we first exploit dynamic Bayesian networks to determine conditionally independent subspaces of the object's state space, which allows us to independently perform the particle filter's propagations and corrections over small spaces. Second, we propose a swapping process to transform the weighted particle set provided by the update step of the particle filter into a "new particle set" better focusing on high peaks of the posterior distribution. This new methodology, called Swapping-Based Partitioned Sampling, is proved to be mathematically sound and is successfully tested and validated on synthetic video sequences for single or multiple articulated object tracking.
机译:在本文中,我们解决了使用粒子过滤器框架进行复杂对象跟踪的问题,该问题实质上等于通过顺序蒙特卡洛算法估计高维分布。为此,我们首先利用动态贝叶斯网络来确定对象状态空间的条件独立子空间,这使我们能够在小空间上独立执行粒子滤波器的传播和校正。其次,我们提出了一种交换过程,将粒子过滤器更新步骤提供的加权粒子集转换为更好地关注后验分布的高峰值的“新粒子集”。这种被称为基于交换的分区采样的新方法在数学上被证明是合理的,并且已在合成视频序列上成功地测试和验证了用于单个或多个铰接对象的跟踪。

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