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Table 3 Average silhouette coefficient for original and \(Mix^+\) graphs. After training a GCN model on each graph (initializing the weights 10 times), we calculate the average silhouette coefficient of the intermediate representation in the first GCN layer. We report the mean of these values over each dataset, together with the difference

From: The interplay between communities and homophily in semi-supervised classification using graph neural networks

 

CORA-ML

CiteSeer

PubMed

CORA-Full

Squirrel

Actor

Texas

Wisconsin

Original

0.188

0.147

0.141

− 0.048

− 0.119

− 0.039

0.102

− 0.027

\(Mix^+\)

0.266

0.227

0.226

− 0.014

− 0.092

− 0.037

0.102

− 0.016

Silhouette \(\Delta\)

0.078

0.080

0.085

0.034

0.027

0.002

0

0.011