1 citations · 1 across the 6 of their papers we have counts for
6 papers
Online Nonstochastic Prediction: Logarithmic Regret via Predictive Online Least Squares
Chih-Fan Pai, Yang Zheng
We study online prediction for marginally stable, partially observed linear dynamical systems under nonstochastic disturbances. Our objective is to minimize the cumulative squared…
Online Tracking with Predictions for Nonlinear Systems with Koopman Linear Embedding
Chih-Fan Pai, Xu Shang, Jiachen Qian +1
We study the problem of online tracking in unknown nonlinear dynamical systems, where only short-horizon predictions of future target states are available. This setting arises in p…
Policy Optimization of Mixed H2/H-infinity Control: Benign Nonconvexity and Global Optimality
Chih-Fan Pai, Yuto Watanabe, Yujie Tang +1
Mixed H2/H-infinity control balances performance and robustness by minimizing an H2 cost bound subject to an H-infinity constraint. However, classical Riccati/LMI solutions offer l…
Semidefinite Programming Duality in Infinite-Horizon Linear Quadratic Differential Games
Yuto Watanabe, Chih-Fan Pai, Yang Zheng
Semidefinite programs (SDPs) play a crucial role in control theory, traditionally as a computational tool. Beyond computation, the duality theory in convex optimization also provid…
Benign Nonconvex Landscapes in Optimal and Robust Control, Part II: Extended Convex Lifting
Yang Zheng, Chih-Fan Pai, Yujie Tang
Many optimal and robust control problems are nonconvex and potentially nonsmooth in their policy optimization forms. In Part II of this paper, we introduce a new and unified Extend…
Benign Nonconvex Landscapes in Optimal and Robust Control, Part I: Global Optimality
Yang Zheng, Chih-fan Pai, Yujie Tang
Direct policy search has achieved great empirical success in reinforcement learning. Many recent studies have revisited its theoretical foundation for continuous control, which rev…