Huawei Noah’s Ark Lab; Skolkovo Institute of Science and Technology, Moscow, Russia; CNRS, IMJ, Paris University, France; Skolkovo Institute of Science and Technology, Artiﬁcial Intelligence Research Institute (AIRI), Moscow, Russia; Skolkovo Institute of Science and Technology, Moscow, Russia; Moscow Institute of Physics and Technology, Moscow, Russia
Serguei Barannikov, Ilya Trofimov, Grigorii Sotnikov, Ekaterina Trimbach, Alexander Korotin, Alexander Filippov, Evgeny Burnaev
data manifolds;point clouds;persistent homology;topology;generative models;generative adversarial networks;mode-dropping;3D-shapes;time-series
Manifold Topology Divergence: a Framework for Comparing Data Manifolds.