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arXiv 2012.08225cs.LGcs.AIstat.ML
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Policy Optimization as Online Learning with Mediator Feedback

Politecnico di Milano(米兰理工大学)

Alberto Maria Metelli, Matteo Papini, Pierluca D'Oro, Marcello Restelli

英文摘要:

Policy Optimization (PO) is a widely used approach to address continuous control tasks. In this paper, we introduce the notion of mediator feedback that frames PO as an online learning problem over the policy space. The additional available information, compared to the standard bandit feedback, allows reusing samples generated by one policy to estimate the performance of other policies. Based on this observation, we propose an algorithm, RANDomized-exploration policy Optimization via Multiple Importance Sampling with Truncation (RANDOMIST), for regret minimization in PO, that employs a randomized exploration strategy, differently from the existing optimistic approaches. When the policy space is finite, we show that under certain circumstances, it is possible to achieve constant regret, while always enjoying logarithmic regret. We also derive problem-dependent regret lower bounds. Then, we extend RANDOMIST to compact policy spaces. Finally, we provide numerical simulations on finite and compact policy spaces, in comparison with PO and bandit baselines.

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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