Due to the homophily assumption of graph convolution networks, a common consensus is that graph neural networks (GNNs) perform well on homophilic graphs but may fail on the heterophilic graphs with many inter-class edges. In this work, we re-examine the heterophily problem of GNNs and investigate the feature aggregation of inter-class neighbors. To better evaluate whether the neighbor is helpful for the downstream tasks, we present the concept of the neighbor effect of each node and use the von Neumann entropy to measure the randomness/identifiability of the neighbor distribution for each class. Moreover, we propose a Conv-Agnostic GNNs framework (CAGNNs) to enhance the performance of GNNs on heterophily datasets by learning the neighbor effect for each node. Specifically, we first decouple the feature of each node into the discriminative feature for downstream tasks and the aggregation feature for graph convolution. Then, we propose a shared mixer module for all layers to adaptively evaluate the neighbor effect of each node to incorporate the neighbor information. Experiments are performed on nine well-known benchmark datasets for the node classification task. The results indicate that our framework is able to improve the average prediction performance by 9.81\%, 25.81\%, and 20.61\% for GIN, GAT, and GCN, respectively. Extensive ablation studies and robustness analysis further verify the effectiveness, robustness, and interpretability of our framework.

本文探讨了GNNs的异质问题并研究了跨类别邻居的特征聚合，提出了CAGNNs框架以提高节点分类任务的性能。实验结果表明，我们的框架能够分别提高GIN，GAT和GCN的平均预测准确率9.81％，25.81％和20.61％。

利用邻居效应：用于具有异质性图的Conv-Agnostic GNNs框架