16:00
North meets South
Abstract
Speaker: Cedric Pilatte
Title: Convolution of integer sets: a galaxy of (mostly) open problems
Title: Manifold-Free Riemannian Optimization
Abstract: Optimization problems constrained to a smooth manifold can be solved via the framework of Riemannian optimization. To that end, a geometrical description of the constraining manifold, e.g., tangent spaces, retractions, and cost function gradients, is required. In this talk, we present a novel approach that allows performing approximate Riemannian optimization based on a manifold learning technique, in cases where only a noiseless sample set of the cost function and the manifold’s intrinsic dimension are available.