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math.OC2024★ 1 cited
Randomized Gradient Descents on Riemannian Manifolds: Almost Sure Convergence to Global Minima in and beyond Quantum Optimization
Emanuel Malvetti, Christian Arenz, Gunther Dirr +1
We analyze convergence of gradient-descent methods on Riemannian manifolds. In particular, we study randomization of Riemannian gradient algorithms for minimizing smooth cost funct…
math.OC2023
Reduced Control Systems on Symmetric Lie Algebras
Emanuel Malvetti, Gunther Dirr, Frederik vom Ende +1
For a symmetric Lie algebra we consider a class of bilinear or more general control-affine systems on defined by a drift ve…