3 papers
math.OC2025
Perturbed Gradient Descent via Convex Quadratic Approximation for Nonconvex Bilevel Optimization
Nazanin Abolfazli, Sina Sharifi, Mahyar Fazlyab +1
Bilevel optimization is a fundamental tool in hierarchical decision-making and has been widely applied to machine learning tasks such as hyperparameter tuning, meta-learning, and c…
math.OC2025
Safe Gradient Flow for Bilevel Optimization
Sina Sharifi, Nazanin Abolfazli, Erfan Yazdandoost Hamedani +1
Bilevel optimization is a key framework in hierarchical decision-making, where one problem is embedded within the constraints of another. In this work, we propose a control-theoret…
math.OC2023
Projection-Free Methods for Stochastic Simple Bilevel Optimization with Convex Lower-level Problem
Jincheng Cao, Ruichen Jiang, Nazanin Abolfazli +2
In this paper, we study a class of stochastic bilevel optimization problems, also known as stochastic simple bilevel optimization, where we minimize a smooth stochastic objective f…