Integrating Local Vertex/Edge Embedding via Deep Matrix Fusion and Siamese Multi-label Classification

Network embedding techniques aim to encode each vertex/edge as a low-dimensional vector, enabling easy integration with existing graph mining algorithms. This paper presents a novel network embedding framework, VEEMBEDCLASS, that combines local vertex/edge embedding with deep matrix fusion and Siamese multi-label classification for facilitating classification-based local network embedding. First, we propose to perform the embeddings of each vertex/edge on K local vertex/edge embedding models respectively, with the joint optimization by considering both intra-class and inter-class correlations, to learn their latent local features on each class. The deep matrix fusion technique is developed to preserve the first-order and second-order proximity of vertices and edges on each of K classes simultaneously. Second, a Student t-distribution based Siamese multi-label classification method is designed to train associated vertices and edges with similar local characteristics together and learn their class membership probabilities, in response to the power-law vertex degree distribution widespread in real graphs. A principle of vertex-edge homophily is introduced to guarantee that the common edge/vertex shared by two associated vertices/edges and themselves are similar in terms of both structural correlations and class memberships. Finally, we integrate local vertex/edge embedding and Siamese multi-label classification into a unified model by mutually enhancing each other.