Network dismantling aims to degrade the connectivity of a network by removing an optimal set of nodes and has been widely adopted in many real-world applications such as epidemic control and rumor containment. However, conventional methods usually focus on simple network modeling with only pairwise interactions, while group-wise interactions modeled by hypernetwork are ubiquitous and critical. In this work, we formulate the hypernetwork dismantling problem as a node sequence decision problem and propose a deep reinforcement learning (DRL)-based hypernetwork dismantling framework. Besides, we design a novel inductive hypernetwork embedding method to ensure the transferability to various real-world hypernetworks. Generally, our framework builds an agent. It first generates small-scale synthetic hypernetworks and embeds the nodes and hypernetworks into a low dimensional vector space to represent the action and state space in DRL, respectively. Then trial-and-error dismantling tasks are conducted by the agent on these synthetic hypernetworks, and the dismantling strategy is continuously optimized. Finally, the well-optimized strategy is applied to real-world hypernetwork dismantling tasks. Experimental results on five real-world hypernetworks demonstrate the effectiveness of our proposed framework.
翻译:网络拆解的目的是通过去除一套最佳节点来降低网络的连通性,并被广泛用于许多现实应用,如流行病控制和谣言遏制等。然而,常规方法通常侧重于简单的网络模型,只有对称互动,而由超网络建模的群度互动则无处不在且至关重要。在这项工作中,我们将超网络拆解问题作为一个节点序列决策问题,并提议一个基于超网络的深度强化学习(DRL)的超网络拆解框架。此外,我们设计了一个新型的入门超网络嵌入方法,以确保向各种现实世界超网络转移。一般来说,我们的框架将建立一个代理。它首先生成小规模合成超网络,并将节点和超网络嵌入一个低维向矢量空间,分别代表DRL的行动和状态空间。然后,由这些合成超网络的代理进行试验和error拆解任务,而拆解战略将不断优化。最后,完善的战略将应用于现实世界超网络拆解任务。在五个现实世界的框架中,实验性结果将展示我们拟议的5个现实-世界网络框架的有效性。