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Neural Information Processing Systems 

For more reliable comparison, we repeat experiments for100random seedsinstead of 10. "init tune" denotes tuningσ and choosing betweenN or U (see Figure 1 at the bottom); tuning isdone in the same wayasforotherhyperparameters. We will also add results of GCN supporting our conclusions (Table 115 and Figure 1). Note20 that in Table 1 of the submitted paper, forCOLORSand MNIST-75sp,21 ChebyGINs are equivalent to ChebyNets as described in Table 1 of22 theSupplementary material and elaborated onfollowing that table (see23 footnote3). In our model, the features are25 weighted by attention scores according to Eq. 3, so it is soft. In this26 case, the features indeed reduce their scale.

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