They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more generally on a geodesic metric space, one investigates geometric and analytic ...

Specifically, it can compute the Riemannian metric tensor of the latent space of the generator, pulling back certain image distance function (e.g. LPIPS). Then the eigen structure of the metric tensor ...

This is analogous to the recovery of the sparsest linear model in compressed sensing. For ReLU networks and their variants with skip connections or normalization layers, we present isometry conditions ...

Riemannian geometry-based classification (RGBC) gained popularity in the field of brain-computer interfaces (BCIs) lately, due to its ability to deal with non-stationarities arising in ...