论文标题
Markov过程的平均场近似值的准确性标准
Accuracy criterion for mean field approximations of Markov processes on hypergraphs
论文作者
论文摘要
我们为局部密度依赖的马尔可夫人口过程的N交换平均场近似值（NIMFA）提供了误差界限，其分布良好的基础网络结构显示NIMFA在典型的顶点有许多邻居时是准确的。结果证明了在某些条件下流行病学，统计物理学和意见动态文献中使用的一些最常见的近似值。我们允许相应地在2个以上的人和一个基本的超图结构之间进行相互作用。
We provide error bounds for the N-intertwined mean-field approximation (NIMFA) for local density-dependent Markov population processes with a well-distributed underlying network structure showing NIMFA being accurate when a typical vertex has many neighbors. The result justifies some of the most common approximations used in epidemiology, statistical physics and opinion dynamics literature under certain conditions. We allow interactions between more than 2 individuals, and an underlying hypergraph structure accordingly.
