We propose a dynamic network sampling scheme to optimize block recovery for stochastic blockmodel (SBM) in the case where it is prohibitively expensive to observe the entire graph. Theoretically, we provide justification of our proposed Chernoff-optimal dynamic sampling scheme via the Chernoff information. Practically, we evaluate the performance, in terms of block recovery, of our method on several real datasets from different domains. Both theoretically and practically results suggest that our method can identify vertices that have the most impact on block structure so that one can only check whether there are edges between them to save significant resources but still recover the block structure.
翻译:我们提出一个动态网络抽样计划,优化软体块模型(SBM)的整块回收,如果观察整块图的费用高得令人望而却步的话。 从理论上讲,我们通过Chernoff信息来说明我们提议的Chernoff最佳动态取样计划的合理性。实际上,我们从整块回收的角度来评估我们在不同领域若干实际数据集上的方法的性能。在理论上和实际上,结果都表明,我们的方法可以确定对块结构影响最大的脊椎,以便我们只能检查它们之间是否有边缘来节省大量资源,但仍能恢复块结构。