Proximal bundle method achieves sublinear rates for general nonsmooth geodesically convex objectives and linear rates under sharp growth on Hadamard manifolds using only subgradients and inexact primitives.
Wiesel,Geodesic convexity and covariance estimation, IEEE Transactions on Signal Processing, 60 (2012), pp
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Nonsmooth Riemannian optimization with inexact manifold primitives via bundle methods
Proximal bundle method achieves sublinear rates for general nonsmooth geodesically convex objectives and linear rates under sharp growth on Hadamard manifolds using only subgradients and inexact primitives.