论文标题
Polya触发网络的初始化和固化策略
Initialization and Curing Policies for Polya Contagion Networks
论文作者
论文摘要
本文使用从经典Polya过程衍生的模型研究了网络流行病中资源分布的优化策略。该模型的基本力学(称为polya网络传染过程)基于修改的urn采样方案,该方案涉及网络中相邻节点之间的时间和空间传播。我们介绍各种感染指标,并使用它们来出现两个问题:一个是初始化时发生的,一个是随着Polya网络过程的发展而不断发生的。我们将这些问题视为固定预算的资源分配问题,并分析一套潜在的政策。由于这些问题的复杂性,我们在每种情况下引入了平均感染率的有效替代措施。我们还证明,在所谓的预期网络暴露中,双向感染固定游戏承认了NASH平衡。在固化和初始化方案中,我们介绍了主要基于限制特定网络设置中目标节点数量的启发式策略。进行大型尺度网络的模拟,以将我们的启发式方法的性能与在简化的代理措施上运行的可融合梯度下降算法进行比较。
This paper investigates optimization policies for resource distribution in network epidemics using a model that derives from the classical Polya process. The basic mechanics of this model, called the Polya network contagion process, are based on a modified urn sampling scheme that accounts for both temporal and spatial contagion between neighbouring nodes in a network. We present various infection metrics and use them to develop two problems: one which takes place upon initialization and one which occurs continually as the Polya network process develops. We frame these problems as resource allocation problems with fixed budgets, and analyze a suite of potential policies. Due to the complexity of these problems, we introduce effective proxy measures for the average infection rate in each case. We also prove that the two-sided infection-curing game on the so-called expected network exposure admits a Nash equilibrium. In both the curing and initialization scenarios, we introduce heuristic policies that primarily function on the basis of limiting the number of targeted nodes within a particular network setup. Simulations are run for mid-to-large scale networks to compare performance of our heuristics to provably convergent gradient descent algorithms run on the simplified proxy measures.