Unsupervised Multiple Network Alignment with Multinominal GAN and Variational Inference

Network alignment techniques, which aim to identify the same entities across multiple networks, often suffer challenges from feature inconsistency to transitivity law preservation. This paper presents a purely unsupervised network alignment method, KEMINA, with three original contributions. First, in order to address the feature inconsistency issue, an adversarial kernel embedding technique is proposed to extract network-invariant information among multiple networks without prior alignment knowledge, and project them into the common embedding space. Second, a multinomial generative adversarial network (GAN) model is developed to train multiple network alignment tasks simultaneously in an unsupervised manner with preserving the transitivity law property. Third but last, a variational inference model is designed to alleviate the data sparsity and inadequate training issues by filling realistic detail for vertices with sparse features and generating real-looking supplementary vertex samples within limited training opportunity of each pair of source and target networks.