Signed Link Representation in Continuous-Time Dynamic Signed Networks

Signed networks allow us to model bi-faceted relationships and interactions, such as friend/enemy, support/oppose, etc. These interactions are often temporal in real datasets, where nodes and edges appear over time. Learning the dynamics of signed networks is thus crucial to effectively predict the sign and strength of future links. Existing works model either signed networks or dynamic networks but not both together. In this work, we study dynamic signed networks where links are both signed and evolving with time. Our model learns a Signed link's Evolution using Memory modules and Balanced Aggregation (hence, the name SEMBA). Each node maintains two separate memory encodings for positive and negative interactions. On the arrival of a new edge, each interacting node aggregates this signed information with its memories while exploiting balance theory. Node embeddings are generated using updated memories, which are then used to train for multiple downstream tasks, including link sign prediction and link weight prediction. Our results show that SEMBA outperforms all the baselines on the task of sign prediction by achieving up to an 8% increase in the AUC and up to a 50% reduction in FPR. Results on the task of predicting signed weights show that SEMBA reduces the mean squared error by 9% while achieving up to 69% reduction in the KL-divergence on the distribution of predicted signed weights.