论文标题

基于贝叶斯代理的建模的考虑,用于分析Covid-19数据

Considerations in Bayesian agent-based modeling for the analysis of COVID-19 data

论文作者

Um, Seungha, Adhikari, Samrachana

论文摘要

基于代理的模型(ABM)已被广泛用于研究传染病传播,通过模拟行为和称为代理的自主个体的相互作用。在ABM中,根据一组简单的规则分配了代理状态,例如感染或易感性,并且随着时间的推移,代理人的集体状态描述了疾病传播的复杂动力。尽管在现实世界建模方面具有灵活性,但由于棘手的可能性功能,ABM受到了统计学家的关注,这导致难以估算参数并量化模型输出周围的不确定性。为了克服这一限制,我们建议将整个系统视为隐藏的马尔可夫模型,并在贝叶斯框架内开发用于传染病传播的ABM。随着时间的流逝,模型中的隐藏状态由个别代理的状态表示。我们通过应用粒子马尔可夫链蒙特卡洛算法来估计隐藏状态和与模型相关的参数。在各种模拟条件下,评估了参数恢复和预测的方法以及对先前假设的敏感性。最后,我们将提出的方法应用于对钻石公主巡航船上的Covid-19爆发的研究,并检查关键人口特征的传播差异,同时考虑了不同的网络结构以及巡航中Covid-19的局限性。

Agent-based model (ABM) has been widely used to study infectious disease transmission by simulating behaviors and interactions of autonomous individuals called agents. In the ABM, agent states, for example infected or susceptible, are assigned according to a set of simple rules, and a complex dynamics of disease transmission is described by the collective states of agents over time. Despite the flexibility in real-world modeling, ABMs have received less attention by statisticians because of the intractable likelihood functions which lead to difficulty in estimating parameters and quantifying uncertainty around model outputs. To overcome this limitation, we propose to treat the entire system as a Hidden Markov Model and develop the ABM for infectious disease transmission within the Bayesian framework. The hidden states in the model are represented by individual agent's states over time. We estimate the hidden states and the parameters associated with the model by applying particle Markov Chain Monte Carlo algorithm. Performance of the approach for parameter recovery and prediction along with sensitivity to prior assumptions are evaluated under various simulation conditions. Finally, we apply the proposed approach to the study of COVID-19 outbreak on Diamond Princess cruise ship and examine the differences in transmission by key demographic characteristics, while considering different network structures and the limitations of COVID-19 testing in the cruise.

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