Toward an Advanced Temporal Graph Network in Hyperbolic Space

Learning over dynamic graphs poses major challenges, including capturing the evolving relationship in the graphs. Inspired by the advantages of hyperbolic embedding in static graphs, the hyperbolic space is expected to capture complex interactions in dynamic graphs. However, due to the distortion errors in the standard tangent space mappings, hyperbolic methods become more sensitive to noise and reduce the learning capacity. To address the distortion in tangent space, we proposed HMPTGN, a temporal graph network that operates directly on the hyperbolic manifold. In this journal paper, we introduce the HMPTGN+ architecture, an extension of the original HMPTGN with major updates to learn better representations of dynamic graphs based on the hyperbolic embedding. Our framework incorporates a high-order graph neural network for extracting spatial dependencies, a dilated causal attention mechanism for modeling temporal patterns while preserving causality, and a curvature-awareness mechanism to capture dynamic structures. Extensive experiments demonstrate the effectiveness of our proposed HMPTGN+ framework over state-of-the-art baselines in both temporal link prediction and temporal new link prediction tasks. Our implementation is available at the GitHub repository https: //github. com/quanlv9211/HMPTGNₚlus.