Riemannian manifolds, geodesics, Levi-Civita-connection, Lemma of Gauß, Theorem of Hopf-Rinow, curvature tensor, first and second variation formula, Lemma of Synge, Theorem of Bonnet-Myers, ...

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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 ...

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 ...

We model object instances as subclasses to train specialized classifiers in the Riemannian tangent space, each of which is regularized by incorporating data from other objects. In multiple experiments ...