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Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators

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A variational formulation for accelerated optimization on normed vector spaces was recently introduced in Wibisono et al. (PNAS 113:E7351-E7358, 2016), and later generalized to the Riemannian manifold setting in Duruisseaux and Leok (SJMDS, 2022a). This variat... ...