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math.OC2023
Near-Optimal Nonconvex-Strongly-Convex Bilevel Optimization with Fully First-Order Oracles
Lesi Chen, Yaohua Ma, Jingzhao Zhang
In this work, we consider bilevel optimization when the lower-level problem is strongly convex. Recent works show that with a Hessian-vector product (HVP) oracle, one can provably…
math.OC2023
Online Control with Adversarial Disturbance for Continuous-time Linear Systems
Jingwei Li, Jing Dong, Can Chang +2
We study online control for continuous-time linear systems with finite sampling rates, where the objective is to design an online procedure that learns under non-stochastic noise a…
math.OC2023
On Finding Small Hyper-Gradients in Bilevel Optimization: Hardness Results and Improved Analysis
Lesi Chen, Jing Xu, Jingzhao Zhang
Bilevel optimization reveals the inner structure of otherwise oblique optimization problems, such as hyperparameter tuning, neural architecture search, and meta-learning. A common…