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math.NA2021★ 6 cited
Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators
Valentin Duruisseaux, Melvin Leok
A variational formulation for accelerated optimization on normed vector spaces was recently introduced in Wibisono et al., and later generalized to the Riemannian manifold setting…
math.NA2017★ 1 cited
Adaptive Hamiltonian Variational Integrators and Symplectic Accelerated Optimization
Valentin Duruisseaux, Jeremy Schmitt, Melvin Leok
It is well known that symplectic integrators lose their near energy preservation properties when variable step sizes are used. The most common approach to combine adaptive step siz…