This is a guest post by Nicolas Boumal, a friend and collaborator from Université catholique de Louvain (Belgium), now at Inria in Paris (France), who develops Manopt: a toolbox for optimization on manifolds.

Optimization on manifolds is about solving problems of the form

where is a nice, known manifold. By “nice”, I mean a smooth, finite-dimensional Riemannian manifold.

Continue reading Optimizing in smooth waters: optimization on manifolds