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math.OC2026
Identification with Orthogonal Basis Functions: Convergence Speed, Asymptotic Bias, and Rate-Optimal Pole Selection
Jiayun Li, Yiwen Lu, Yilin Mo +1
This paper is concerned with performance analysis and pole selection problem in identifying linear time-invariant (LTI) systems using orthogonal basis functions (OBFs), a system id…
math.OC2026
Verifiable Model-Free Safety Filters via Reinforcement Learning
Bihui Yin, Yiwen Lu, Yuchen Jiang +1
This paper presents a reinforcement learning approach of a model-free safety filter, drawing inspiration from the framework of model-based Predictive Safety Filters (PSFs). Similar…
math.OC2024
Regret Analysis with Almost Sure Convergence for OBF-ARX Filter
Jiayun Li, Yiwen Lu, Yilin Mo
This paper considers the output prediction problem for an unknown Linear Time-Invariant (LTI) system. In particular, we focus our attention on the OBF-ARX filter, whose transfer fu…