4 papers
On iteratively regularized first-order methods for simple bilevel optimization
Sepideh Samadi, Daniel Burbano, Farzad Yousefian
We consider simple bilevel optimization (SBO) problems where the goal is to compute among the optimal solutions of a composite convex optimization problem, one that minimizes a sec…
Achieving optimal complexity guarantees for a class of bilevel convex optimization problems
Sepideh Samadi, Daniel Burbano, Farzad Yousefian
We design and analyze a novel accelerated gradient-based algorithm for a class of bilevel optimization problems. These problems have various applications arising from machine learn…
Improved guarantees for optimal Nash equilibrium seeking and bilevel variational inequalities
Sepideh Samadi, Farzad Yousefian
We consider a class of hierarchical variational inequality (VI) problems that subsumes VI-constrained optimization and several other problem classes including the optimal solution…
An Incremental Gradient Method for Optimization Problems with Variational Inequality Constraints
Harshal D. Kaushik, Sepideh Samadi, Farzad Yousefian
We consider minimizing a sum of agent-specific nondifferentiable merely convex functions over the solution set of a variational inequality (VI) problem in that each agent is associ…