Fig. 4From: The interplay between communities and homophily in semi-supervised classification using graph neural networksHomophily and mixing impact on GCN accuracy. In this figure, we present the accuracy gain of GCN over the feature-only baseline (with hue) as a function of mixing (x-axis) and homophily (y-axis). The red dashed lines represent the mixing and the accuracy of the original graph (the point at their intersection in each sub-figure is the original graph). We notice a change in hue along the y-axis, and not the x-axis. This shows a strong impact of homophily on the accuracy gain, while mixing does not have such a strong impact. Note, high mixing and high homophily cannot be achieved with our manipulations at the same time, e.g., cases of pair-wise homophilic relations without any community structure.Back to article page