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arXiv 1109.2137cs.AI
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关系动态贝叶斯网络

Relational Dynamic Bayesian Networks

University of Washington(华盛顿大学)

P. Domingos, S. Sanghai, D. Weld

摘要:

涉及随着时间的推移创建对象和关系的随机过程很普遍,但研究相对较少。例如,工厂装配过程中的准确故障诊断需要推断错误装配操作的概率,但高效且准确地做到这一点是困难的。这些过程被建模为动态贝叶斯网络,具有非常大的域和极高的维度的离散变量。在本文中,我们介绍了关系动态贝叶斯网络(RDBN),这是一个扩展的动态贝叶斯网络(DBNs)的一阶逻辑。RDBN是动态概率关系模型(DPRM)的推广,我们在以前的工作中提出了动态不确定域的模型。首先,我们扩展了Rao-Blackwellised粒子滤波在我们的早期工作中描述的RDBN。接下来,我们解除了与Rao Blackwellization在RDBN中的假设,并提出了两种新形式的粒子滤波。第一种方法使用谓词上的抽象层次来平滑粒子滤波器的估计。第二个采用核密度估计与核函数专门设计的关系域。实验结果表明,这两种方法在装配计划执行监控任务上的性能明显优于标准粒子滤波。

英文摘要:

Stochastic processes that involve the creation of objects and relations over time are widespread, but relatively poorly studied. For example, accurate fault diagnosis in factory assembly processes requires inferring the probabilities of erroneous assembly operations, but doing this efficiently and accurately is difficult. Modeled as dynamic Bayesian networks, these processes have discrete variables with very large domains and extremely high dimensionality. In this paper, we introduce relational dynamic Bayesian networks (RDBNs), which are an extension of dynamic Bayesian networks (DBNs) to first-order logic. RDBNs are a generalization of dynamic probabilistic relational models (DPRMs), which we had proposed in our previous work to model dynamic uncertain domains. We first extend the Rao-Blackwellised particle filtering described in our earlier work to RDBNs. Next, we lift the assumptions associated with Rao-Blackwellization in RDBNs and propose two new forms of particle filtering. The first one uses abstraction hierarchies over the predicates to smooth the particle filters estimates. The second employs kernel density estimation with a kernel function specifically designed for relational domains. Experiments show these two methods greatly outperform standard particle filtering on the task of assembly plan execution monitoring.

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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