70 citations · 295 across the 74 of their papers we have counts for
92 papers
Failure of Rockafellar's Sum Conjecture via an Explicit Non-(FPV) Operator
Radu Ioan Bot
Building on a construction of Weifeng Yang, we present a simplified counterexample to Rockafellar's sum conjecture on . The central observation is geometric: the…
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…
Variational convexity: new characterizations, calculus rules, and applications
Radu Ioan Bot, Ziyuan Wang
Introduced by R.T. Rockafellar in 2019, variational convexity is a generalized notion of convexity under which stationary points of nonconvex optimization problems can still be gua…
The Iterates of Nesterov's Accelerated Algorithm Converge in The Critical Regimes
Radu Ioan Bot, Jalal Fadili, Dang-Khoa Nguyen
In this paper, we prove that the iterates of the accelerated Nesterov's algorithm in the critical regime do converge in the weak topology to a global minimizer of an -smooth fun…
Long-Time Analysis of Stochastic Heavy Ball Dynamics for Convex Optimization and Monotone Equations
Radu Ioan Bot, Chiara Schindler
In a separable real Hilbert space, we study the problem of minimizing a convex function with Lipschitz continuous gradient in the presence of noisy evaluations. To this end, we ass…
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…