Quantifying Extrinsic Curvatures of Neural Manifolds

Acosta, F., Sanborn, S., Dao Duc, K., Madhav, M., Miolane, N.

We leverage tools from Riemannian geometry and topologically-aware deep generative models to introduce a novel approach for studying the geometry of neural manifolds. This approach (1) computes an explicit parameterization of the manifolds and (2) estimates their local extrinsic curvature.