Unsupervised Euclidean Distance Attack on Network Embedding

Considering the wide application of network embedding methods in graph data mining, inspired by the adversarial attack in deep learning, this paper proposes a Genetic Algorithm (GA) based Euclidean Distance Attack strategy (EDA) to attack the network embedding, so as to prevent certain structural information from being discovered. EDA focuses on disturbing the Euclidean distance between a pair of nodes in the embedding space as much as possible through minimal modifications of the network structure. Since a large number of downstream network algorithms, such as community detection and node classification, rely on the Euclidean distance between nodes to evaluate the similarity between them in the embedding space, EDA can be considered as a universal attack on a variety of network algorithms. Different from traditional supervised attack strategies, EDA does not need labeling information, and, to the best of our knowledge, is the first unsupervised network embedding attack method. We take DeepWalk as the base embedding method to develop the EDA. Experiments with a set of real networks demonstrate that the proposed EDA method can significantly reduce the performance of DeepWalk-based networking algorithms, i.e., community detection and node classification, outperforming several heuristic attack strategies. We also show that EDA also works well on attacking the network algorithms based on other common network embedding methods such as High-Order Proximity preserved Embedding (HOPE) and non-embedding-based network algorithms such as Label Propagation Algorithm (LPA) and Eigenvectors of Matrices (EM). The results indicate a strong transferability of the EDA method.