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arXiv 1206.3263cs.AI
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POMDP的稀疏随机状态控制器

Sparse Stochastic Finite-State Controllers for POMDPs

Mississippi State University(密西西比州立大学)

Eric A. Hansen

摘要:

有界策略迭代是一种求解无限时域POMDP的方法,它将策略表示为随机有限状态控制器,并通过使用线性规划调整每个节点的参数来迭代地改进控制器。在原算法中,线性规划的大小,从而策略改进的复杂性,取决于每个节点的参数的数量,这与控制器的大小增长。但在实际中,具有非零值的节点的参数的数量往往很小,并且不随控制器的大小而增长。基于这一观察,我们开发了一个版本的有界策略迭代,利用稀疏结构的随机有限状态控制器。在每次迭代中,它改进策略的数量与原始算法相同,但具有更好的可扩展性。

英文摘要:

Bounded policy iteration is an approach to solving infinite-horizon POMDPs that represents policies as stochastic finite-state controllers and iteratively improves a controller by adjusting the parameters of each node using linear programming. In the original algorithm, the size of the linear programs, and thus the complexity of policy improvement, depends on the number of parameters of each node, which grows with the size of the controller. But in practice, the number of parameters of a node with non-zero values is often very small, and does not grow with the size of the controller. Based on this observation, we develop a version of bounded policy iteration that leverages the sparse structure of a stochastic finite-state controller. In each iteration, it improves a policy by the same amount as the original algorithm, but with much better scalability.

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