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arXiv 1401.4592cs.AI
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基于邻近度的非均匀抽象用于近似规划

Proximity-Based Non-uniform Abstractions for Approximate Planning

Monash University(莫纳什大学)

Jiri Baum, Ann E. Nicholson, Trevor I. Dix

摘要:

在一个确定性的世界里,一个规划主体可以确定其规划的行动序列的后果。然而,在通常使用马尔可夫决策过程的动态随机域中,情况并非如此。不幸的是,这些都受到维数灾难的影响:如果状态空间是许多小集合(维度)的笛卡尔乘积,那么规划在这些维度的数量上是指数级的。我们的新技术利用了选择性地忽略状态空间不同部分中的各种维度的直观策略。由此产生的非均匀性有很强的影响,因为近似不再是马尔可夫,需要使用修改后的计划。我们还使用了一个空间和时间的接近度的措施,它响应于持续的规划,以及通过状态空间的代理的运动,动态地适应规划进展的抽象。我们提出了定性和定量的结果,在一系列的实验领域表明,代理利用这种新的近似方法成功地找到解决方案的规划问题,使用远少于完整的状态空间。我们评估和分析我们的方法可以利用的域的功能。

英文摘要:

In a deterministic world, a planning agent can be certain of the consequences of its planned sequence of actions. Not so, however, in dynamic, stochastic domains where Markov decision processes are commonly used. Unfortunately these suffer from the curse of dimensionality: if the state space is a Cartesian product of many small sets (dimensions), planning is exponential in the number of those dimensions. Our new technique exploits the intuitive strategy of selectively ignoring various dimensions in different parts of the state space. The resulting non-uniformity has strong implications, since the approximation is no longer Markovian, requiring the use of a modified planner. We also use a spatial and temporal proximity measure, which responds to continued planning as well as movement of the agent through the state space, to dynamically adapt the abstraction as planning progresses. We present qualitative and quantitative results across a range of experimental domains showing that an agent exploiting this novel approximation method successfully finds solutions to the planning problem using much less than the full state space. We assess and analyse the features of domains which our method can exploit.

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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