RSGNN: A Model-agnostic Approach for Enhancing the Robustness of Signed Graph Neural Networks

Zeyu Zhang, Jiamou Liu, Xianda Zheng, Yifei Wang, Pengqian Han, Yupan Wang, Kaiqi Zhao, Zijian Zhang
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引用次数: 7

Abstract

Signed graphs model complex relations using both positive and negative edges. Signed graph neural networks (SGNN) are powerful tools to analyze signed graphs. We address the vulnerability of SGNN to potential edge noise in the input graph. Our goal is to strengthen existing SGNN allowing them to withstand edge noises by extracting robust representations for signed graphs. First, we analyze the expressiveness of SGNN using an extended Weisfeiler-Lehman (WL) graph isomorphism test and identify the limitations to SGNN over triangles that are unbalanced. Then, we design some structure-based regularizers to be used in conjunction with an SGNN that highlight intrinsic properties of a signed graph. The tools and insights above allow us to propose a novel framework, Robust Signed Graph Neural Network (RSGNN), which adopts a dual architecture that simultaneously denoises the graph while learning node representations. We validate the performance of our model empirically on four real-world signed graph datasets, i.e., Bitcoin_OTC, Bitcoin_Alpha, Epinion and Slashdot, RSGNN can clearly improve the robustness of popular SGNN models. When the signed graphs are affected by random noise, our method outperforms baselines by up to 9.35% Binary-F1 for link sign prediction. Our implementation is available in PyTorch1.
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RSGNN:一种增强签名图神经网络鲁棒性的模型不可知方法
符号图用正边和负边对复杂关系建模。签名图神经网络(SGNN)是分析签名图的强大工具。我们解决了SGNN对输入图中潜在边缘噪声的脆弱性。我们的目标是通过提取签名图的鲁棒表示来增强现有的SGNN,使其能够承受边缘噪声。首先,我们使用扩展的Weisfeiler-Lehman (WL)图同构检验分析了SGNN的可表达性,并确定了SGNN在不平衡三角形上的局限性。然后,我们设计了一些基于结构的正则化器,用于与SGNN结合使用,以突出有符号图的内在属性。上述工具和见解使我们能够提出一个新的框架,稳健签名图神经网络(RSGNN),它采用双重架构,在学习节点表示的同时对图进行降噪。我们在Bitcoin_OTC、Bitcoin_Alpha、Epinion和Slashdot四个真实签名图数据集上验证了我们的模型的性能,结果表明RSGNN可以明显提高流行的SGNN模型的鲁棒性。当符号图受随机噪声影响时,我们的方法在链接符号预测方面优于基线高达9.35%的Binary-F1。我们的实现在PyTorch1中可用。
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