Mahefa Ratsisetraina Ravelonanosy

collaborators

2 papers

cs.LG2024

Topological degree as a discrete diagnostic for disentanglement, with applications to the $Δ$ VAE

Mahefa Ratsisetraina Ravelonanosy, Vlado Menkovski, Jacobus W. Portegies

We investigate the ability of Diffusion Variational Autoencoder ( $Δ$ VAE) with unit sphere $S^{2}$ as latent space to capture topological and geometrical structure and disen…

math.DG2022

Small time asymptotics of the entropy of the heat kernel on a Riemannian manifold

Vlado Menkovski, Jacobus W. Portegies, Mahefa Ratsisetraina Ravelonanosy

We give an asymptotic expansion of the relative entropy between the heat kernel $q_{Z} (t, z, w)$ of a compact Riemannian manifold $Z$ and the normalized Riemannian volume for small val…

Topological degree as a discrete diagnostic for disentanglement, with applications to the ΔVAE

Small time asymptotics of the entropy of the heat kernel on a Riemannian manifold

Topological degree as a discrete diagnostic for disentanglement, with applications to the $Δ$ VAE