Vassilis Apidopoulos

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math.OC2025

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the Åojasiewicz condition

Vassilis Apidopoulos, Vasiliki Mavrogeorgou, Theodoros G. Tsironis

In this paper, we examine the convergence properties of heavy-ball dynamics with Hessian-driven damping in smooth non-convex optimization problems satisfying a Åojasiewicz conditi…

math.OC2025

Preconditioned primal-dual dynamics in convex optimization: non-ergodic convergence rates

Vassilis Apidopoulos, Cesare Molinari, Juan Peypouquet +1

We introduce and analyze a continuous primal-dual dynamical system in the context of the minimization problem $f (x) + g (A x)$ , where $f$ and $g$ are convex functions and $A$ is a line…

math.OC2024

Variance reduction techniques for stochastic proximal point algorithms

In the context of finite sums minimization, variance reduction techniques are widely used to improve the performance of state-of-the-art stochastic gradient methods. Their practica…

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the Åojasiewicz condition

Preconditioned primal-dual dynamics in convex optimization: non-ergodic convergence rates

Variance reduction techniques for stochastic proximal point algorithms

Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the Åojasiewicz condition