Before revision:  Due to the constant negative curvature, the hyperbolic space resembles tree metrics and captures the tree-like properties of hierarchical graphs naturally, which enables the hyperbolic embeddings to improve over traditional Euclidean models.
After revision:  Due to the constant negative curvature, the hyperbolic space resembles tree metrics and captures the tree-like properties naturally, which enables the hyperbolic embeddings to improve over traditional Euclidean models.