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arXiv 2008.07353cs.LGcs.AIcs.DSstat.ML
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On the Sample Complexity of Reinforcement Learning with Policy Space Generalization

UC Berkeley(加州大学伯克利分校);Google DeepMind(谷歌DeepMind);NYU(纽约大学)

Wenlong Mou, Zheng Wen, Xi Chen

英文摘要:

We study the optimal sample complexity in large-scale Reinforcement Learning (RL) problems with policy space generalization, i.e. the agent has a prior knowledge that the optimal policy lies in a known policy space. Existing results show that without a generalization model, the sample complexity of an RL algorithm will inevitably depend on the cardinalities of state space and action space, which are intractably large in many practical problems. To avoid such undesirable dependence on the state and action space sizes, this paper proposes a new notion of eluder dimension for the policy space, which characterizes the intrinsic complexity of policy learning in an arbitrary Markov Decision Process (MDP). Using a simulator oracle, we prove a near-optimal sample complexity upper bound that only depends linearly on the eluder dimension. We further prove a similar regret bound in deterministic systems without the simulator.

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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