标题： 隐藏节点对网络结构推断的影响 显示英文标题

标题： Effects of hidden nodes on network structure inference

摘要： 隐藏节点对观测网络结构推断质量的影响基于带有隐藏节点的无序伊辛模型进行探讨。 我们首先分析由少量节点组成的系统，发现有效耦合的大小随着来自隐藏公共输入节点的耦合强度增加而增大，而输入节点的场强则产生相反的效果。 从小系统解析结果中获得的见解在大系统的数值模拟中得到确认。 我们还发现，随着隐藏节点数量的增加，推断质量会下降。 此外，隐藏节点的场方差增加会提高有效耦合的推断质量，但会降低有效场的推断质量。 另外，至少涉及一个隐藏节点的衰减耦合强度会导致耦合推断的高质量。 显示英文摘要

摘要： Effects of hidden nodes on inference quality of observed network structure are explored based on a disordered Ising model with hidden nodes. We first study analytically small systems consisting of a few nodes, and find that the magnitude of the effective coupling grows as the coupling strength from the hidden common input nodes increases, while the field strength of the input node has opposite effects. Insights gained from analytic results of small systems are confirmed in numerical simulations of large systems. We also find that the inference quality deteriorates as the number of hidden nodes increases. Furthermore, increasing field variance of hidden nodes improves the inference quality of the effective couplings, but worsens the quality for the effective fields. In addition, attenuated coupling strengths involved in at least one hidden node lead to high quality of coupling inference.