In this article, we propose a framework for embedding-based community detection on signed networks, namelyAdversarial learning ofBalanced triangle forCommunity detection, in short${{\sf ABC}}$. It first represents all the nodes of a signed network as vectors in low-dimensional embedding space and conducts a clustering algorithm (e.g.,k-means) on vectors, thereby detecting a community structure in the network. When performing the embedding process,${{\sf ABC}}$learns only the edges belonging to balanced triangles whose edge signs follow the balance theory, significantly excluding noise edges in learning. To address the sparsity of balanced triangles in a signed network,${{\sf ABC}}$learns not only the edges in balancedreal-triangles but those in balancedvirtual-triangles that do not actually exist but are produced by our generator. Finally,${{\sf ABC}}$employs adversarial learning to generate more-realistic balanced virtual-triangles with less noise edges. Through extensive experiments using seven real-world networks, we validate the effectiveness of (1) learning edges belonging to balanced real/virtual-triangles and (2) employing adversarial learning for signed network embedding. We show that${{\sf ABC}}$consistently and significantly outperforms the state-of-the-art community detection methods in all datasets.

In this paper, we propose a framework for embedding-based community detection on signed networks. It first represents all the nodes of a signed network as vectors in low-dimensional embedding space and conducts a clustering algorithm (e.g., k-means) on vectors, thereby detecting a community structure in the network. When performing the embedding process, our framework learns only the edges belonging to balanced triangles whose edge signs follow the balance theory, significantly excluding noise edges in learning. To address the sparsity of balanced triangles in a signed network, our framework learns not only the edges in balanced real-triangles but those in balanced virtual-triangles that are produced by our generator. Finally, our framework employs adversarial learning to generate more-realistic balanced virtual-triangles with less noise edges. Through extensive experiments using seven real-world networks, we validate the effectiveness of (1) learning edges belonging to balanced real/virtual-triangles and (2) employing adversarial learning for signed network embedding. We show that our framework consistently and significantly outperforms the state-of-the-art community detection methods in all datasets.