Before revision:  For the generality of our model, we consider the impact of the distances between attributes on node popularity , whose description raises the model selection problem in statistical inference. We present a novel scheme to address this issue by analyzing the detectability of communities for our model , which is also a quantitative description on the effect of node attributes with respect to communities .
After revision:  For the generality of our model, we consider the impact of the distances between attributes on node popularity using an additional term. To characterize the effect quantitatively, we analyze the detectability of communities for our model , which is also a quantitative description on the effect of node attributes with respect to communities .