71 citations · 201 across the 24 of their papers we have counts for
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math.OC2020★ 4 cited
Optimization with Momentum: Dynamical, Control-Theoretic, and Symplectic Perspectives
Michael Muehlebach, Michael I. Jordan
We analyze the convergence rate of various momentum-based optimization algorithms from a dynamical systems point of view. Our analysis exploits fundamental topological properties,…
math.OC2020★ 4 cited
Continuous-time Lower Bounds for Gradient-based Algorithms
Michael Muehlebach, Michael I. Jordan
This article derives lower bounds on the convergence rate of continuous-time gradient-based optimization algorithms. The algorithms are subjected to a time-normalization constraint…