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arXiv cs/9711103cs.AI
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部分可观测随机域规划的一种模型逼近方案

A Model Approximation Scheme for Planning in Partially Observable Stochastic Domains

N. L. Zhang, W. Liu

摘要:

部分可观测马尔可夫决策过程(POMDPs)是规划问题的自然模型,其中行动的影响是不确定的,世界的状态是不完全可观测的。精确求解POMDPs是困难的。本文提出了一种新的近似方案。其基本思想是将POMDP转换为另一个由Oracle提供额外信息的POMDP。预言机通知规划代理世界的当前状态在某个区域中。转换后的POMDP因此被称为区域可观察。它比原来的POMDP更容易解决。我们建议解决转换后的POMDP,并使用其最优策略来构造原POMDP的近似策略。通过控制预言机提供的额外信息量,可以在计算时间和近似质量之间找到适当的折衷。在算法贡献方面,我们详细研究了如何利用区域可观性求解变换后的POMDP。为了便于研究,我们还提出了一个新的精确算法一般POMDPs。该算法在概念上是简单的,但显着比以前的精确算法更有效。

英文摘要:

Partially observable Markov decision processes (POMDPs) are a natural model for planning problems where effects of actions are nondeterministic and the state of the world is not completely observable. It is difficult to solve POMDPs exactly. This paper proposes a new approximation scheme. The basic idea is to transform a POMDP into another one where additional information is provided by an oracle. The oracle informs the planning agent that the current state of the world is in a certain region. The transformed POMDP is consequently said to be region observable. It is easier to solve than the original POMDP. We propose to solve the transformed POMDP and use its optimal policy to construct an approximate policy for the original POMDP. By controlling the amount of additional information that the oracle provides, it is possible to find a proper tradeoff between computational time and approximation quality. In terms of algorithmic contributions, we study in details how to exploit region observability in solving the transformed POMDP. To facilitate the study, we also propose a new exact algorithm for general POMDPs. The algorithm is conceptually simple and yet is significantly more efficient than all previous exact algorithms.

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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