具有核-隐结构的稀疏网络
Sparse Networks with Core-Periphery Structure
摘要：
我们提出了一个统计模型的核心-外围结构的图。为了做到这一点，我们定义了一个精确的概念，它意味着一个图有这样的结构，基于核心和外围节点的子图的稀疏性。我们提出了一类稀疏图与这样的属性，并提供方法来模拟从这个类，并进行后验推理。我们证明，我们的模型可以检测模拟和真实世界的网络中的核心-外围结构。
英文摘要：
We propose a statistical model for graphs with a core-periphery structure. To do this we define a precise notion of what it means for a graph to have this structure, based on the sparsity properties of the subgraphs of core and periphery nodes. We present a class of sparse graphs with such properties, and provide methods to simulate from this class, and to perform posterior inference. We demonstrate that our model can detect core-periphery structure in simulated and real-world networks.
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