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Efficient Solution and Learning of Robust Factored MDPs
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本文提出基于分解状态空间表示的r-MDP求解与学习方法,有效提升样本效率,生成更有效的鲁棒策略,性能保证优于现有方法。

arXiv:2508.00707v1 Announce Type: cross Abstract: Robust Markov decision processes (r-MDPs) extend MDPs by explicitly modelling epistemic uncertainty about transition dynamics. Learning r-MDPs from interactions with an unknown environment enables the synthesis of robust policies with provable (PAC) guarantees on performance, but this can require a large number of sample interactions. We propose novel methods for solving and learning r-MDPs based on factored state-space representations that leverage the independence between model uncertainty across system components. Although policy synthesis for factored r-MDPs leads to hard, non-convex optimisation problems, we show how to reformulate these into tractable linear programs. Building on these, we also propose methods to learn factored model representations directly. Our experimental results show that exploiting factored structure can yield dimensional gains in sample efficiency, producing more effective robust policies with tighter performance guarantees than state-of-the-art methods.

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r-MDP 分解状态空间 样本效率 鲁棒策略 性能保证
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