This paper establishes functional central limit theorems for both synchronous and asynchronous QTD, which show that the averaged iterates of QTD converge weakly to a rescaled Brownian motion, and provides online inference methods.
Zi-Jie Cheng, Yang Peng, Zhi-Hua Zhang· arXiv.org· 1 citation
A global high-probability last-iterate guarantee for synchronous tabular QTD under general positive, nonincreasing step-size sequences and arbitrary initialization in the natural parameter range is established.
Zijie Cheng, Xiang Li, Yang Peng et al.· 0 citations
We establish a global finite-sample guarantee for synchronous quantile temporal-difference learning (QTD) in tabular distributional reinforcement learning. The proof separates two stability mechanisms. A global comparison argument, based on the order monotonicity of reward cumulative distribution functions and the $W_\...
Zijie Cheng, Xiang Li, Yang Peng et al.· 0 citations
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