Efficient Evasion Attacks to Graph Neural Networks via Influence Function

Graph neural networks (GNNs) have achieved state-of-the-art performance in many graph-related tasks, e.g., node classification. However, recent works show that GNNs are vulnerable to evasion attacks, i.e., an attacker can perturb the graph structure to fool trained GNN models. Existing evasion attacks to GNNs have two key drawbacks. First, perturbing the graph structure to fool GNN models is essentially a binary optimization problem, while it is often solved via approximate algorithms with sub-optimal solutions. Second, existing attacks are only applicable to two-layer GNNs. In this paper, we aim to address the above drawbacks and propose to attack GNNs via influence function, a completely different perspective from existing works. Specifically, we first build the connection between GNNs and label propagation in terms of influence function. Then, instead of solving an approximate algorithm, we reformulate the attack to be related to (label) influence, which is applicable to multi-layer GNNs and whose solution can be calculated directly. We evaluate our attack on various benchmark graph datasets. Experimental results demonstrate that, compared to state-of-the-art attack, our attack can achieve higher attack success rate and has a 10-100x speedup when attacking two-layer GNNs. Moreover, our attack is also very effective to attack multi-layer GNNs.