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arXiv · 2107.10123

Convergence rates for the Heavy-Ball continuous dynamics for non-convex optimization, under Polyak-\L ojasiewicz condition

Vassilis Apidopoulos·Nicolò Ginatta·Silvia Villa
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Abstract

We study convergence of the trajectories of the Heavy Ball dynamical system, with constant damping coefficient, in the framework of convex and non-convex smooth optimization. By using the Polyak-{\L}ojasiewicz condition, we derive new linear convergence rates for the associated trajectory, in terms of objective function values, without assuming uniqueness of the minimizer.

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Vassilis Apidopoulos, Nicolò Ginatta, Silvia Villa. 2021-07-21. Convergence rates for the Heavy-Ball continuous dynamics for non-convex optimization, under Polyak-\L ojasiewicz condition. https://arxiv.org/abs/2107.10123

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