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Regularized extragradient method for structured bilevel optimization in continuous and discrete time
Radu Ioan Bot, Enis Chenchene, David Alexander Hulett
In a real Hilbert space, we study a bilevel optimization problem that consists in minimizing an outer convex function over the zero set of a maximally monotone operator. In the smo…
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…
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…
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 ,…
Time rescaling of a primal-dual dynamical system with asymptotically vanishing damping
David Alexander Hulett, Dang-Khoa Nguyen
In this work, we approach the minimization of a continuously differentiable convex function under linear equality constraints by a second-order dynamical system with an asymptotica…
Second order splitting dynamics with vanishing damping for additively structured monotone inclusions
Radu Ioan Bot, David Alexander Hulett
In the framework of a real Hilbert space, we address the problem of finding the zeros of the sum of a maximally monotone operator and a cocoercive operator . We study the as…