Optimization on ManifoldsCovers optimization on manifolds, focusing on smooth manifolds and functions, and the process of gradient descent.
Choosing a Step SizeExplores choosing a step size in optimization on manifolds, including backtracking line-search and the Armijo method.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Retractions: second orderCovers second-order retractions in optimization on manifolds, focusing on smooth curves and their relation to the gradient and Hessian of a function.
Gradient DescentExplores gradient descent methods for optimizing functions on manifolds, emphasizing small gradient guarantees and global convergence.
