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math.OC2025
Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics
Radu Ioan Boţ, Enis Chenchene, Ernö Robert Csetnek +1
We analyze fast diagonal methods for simple bilevel programs. Guided by the analysis of the corresponding continuous-time dynamics, we provide a unified convergence analysis under…
math.OC2025
Recovering Nesterov accelerated dynamics from Heavy Ball dynamics via time rescaling
Hedy Attouch, Radu Ioan Bot, David Alexander Hulett +1
In a real Hilbert space, we consider two classical problems: the global minimization of a smooth and convex function (i.e., a convex optimization problem) and finding the zeros…
math.OC2024
Fast second-order dynamics with slow vanishing damping approaching the zeros of a monotone and continuous operator
Radu Ioan Bot, David Alexander Hulett, Dang-Khoa Nguyen
In this work, we approach the problem of finding the zeros of a continuous and monotone operator through a second-order dynamical system with a damping term of the form ,…