latent space components, which traditionally assume a Euclidean metric over the latent space, by their hyperbolic

We thank the reviewers for their time, helpful feedback, and advice. We thank them for their kind words, and hope to address any remaining concerns below. We agree and propose the following replacement: "We show that replacing V AE We will improve that for the next version. In more detail, we compared three decoders: (i) a standard "vanilla" multilayer perceptron (implicitly relying on the This ablation study shows that linearising the Poincaré ball through the logarithm map (i.e. The analogy is not limited to the two-dimensional case.