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Markov Chain Concentration with an Application in Reinforcement Learning

2023-01-07 19:36:13
Debangshu Banerjee
arXiv_AI
   
Abstract

Given $X_1,\cdot ,X_N$ random variables whose joint distribution is given as $\mu$ we will use the Martingale Method to show any Lipshitz Function $f$ over these random variables is subgaussian. The Variance parameter however can have a simple expression under certain conditions. For example under the assumption that the random variables follow a Markov Chain and that the function is Lipschitz under a Weighted Hamming Metric. We shall conclude with certain well known techniques from concentration of suprema of random processes with applications in Reinforcement Learning

Abstract (translated)

URL

https://arxiv.org/abs/2301.02926

PDF

https://arxiv.org/pdf/2301.02926.pdf

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