arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.02520cs.LGcs.ROstat.ML

Explaining Fast Improvement in Online Imitation Learning

Georgia Tech(佐治亚理工学院);University of Washington(华盛顿大学);Microsoft Research(微软研究院)

Xinyan Yan, Byron Boots, Ching-An Cheng

英文摘要:

Online imitation learning (IL) is an algorithmic framework that leverages interactions with expert policies for efficient policy optimization. Here policies are optimized by performing online learning on a sequence of loss functions that encourage the learner to mimic expert actions, and if the online learning has no regret, the agent can provably learn an expert-like policy. Online IL has demonstrated empirical successes in many applications and interestingly, its policy improvement speed observed in practice is usually much faster than existing theory suggests. In this work, we provide an explanation of this phenomenon. Let $ξ$ denote the policy class bias and assume the online IL loss functions are convex, smooth, and non-negative. We prove that, after $N$ rounds of online IL with stochastic feedback, the policy improves in $\tilde{O}(1/N + \sqrt{ξ/N})$ in both expectation and high probability. In other words, we show that adopting a sufficiently expressive policy class in online IL has two benefits: both the policy improvement speed increases and the performance bias decreases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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