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arXiv 2302.03352cs.AI
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理解发展MCTS UCT选择政策的影响

Towards Understanding the Effects of Evolving the MCTS UCT Selection Policy

Maynooth University(梅努斯大学);Lero(莱罗)

Fred Valdez Ameneyro, Edgar Galvan

摘要:

蒙特卡罗树搜索(MCTS)是一种用于搜索最佳决策的抽样最佳优先方法。MCTS的成功很大程度上取决于MCTS统计树的构建,选择策略在其中起着基础性的作用。在MCTS中广泛采用的一种特别有效的选择策略是树的上置信界限,称为UCT。社区还提出了其他更复杂的界限,目的是提高MCTS在特定问题上的性能。因此,很明显,虽然MCTS UCT通常表现良好,但某些变体可能表现更好。因此,已经提出了多项工作来发展用于MCTS的选择策略。虽然所有这些工作都是鼓舞人心的,但他们都没有进行深入的分析,阐明在什么情况下,MCTS UCT的演变替代方案可能有利于MCTS,因为专注于单一类型的问题。与此形成鲜明对比的是,在这项工作中,我们使用了五个不同性质的功能,从单峰函数,涵盖多峰函数欺骗功能。我们展示了如何演变的MCTS UCT可能是有益的多式联运和欺骗性的情况下,而MCTS UCT是强大的单峰的情况下,在本研究中使用的其余场景的竞争力。

英文摘要:

Monte Carlo Tree Search (MCTS) is a sampling best-first method to search for optimal decisions. The success of MCTS depends heavily on how the MCTS statistical tree is built and the selection policy plays a fundamental role in this. A particular selection policy that works particularly well, widely adopted in MCTS, is the Upper Confidence Bounds for Trees, referred to as UCT. Other more sophisticated bounds have been proposed by the community with the goal to improve MCTS performance on particular problems. Thus, it is evident that while the MCTS UCT behaves generally well, some variants might behave better. As a result of this, multiple works have been proposed to evolve a selection policy to be used in MCTS. Although all these works are inspiring, none of them have carried out an in-depth analysis shedding light under what circumstances an evolved alternative of MCTS UCT might be beneficial in MCTS due to focusing on a single type of problem. In sharp contrast to this, in this work we use five functions of different nature, going from a unimodal function, covering multimodal functions to deceptive functions. We demonstrate how the evolution of the MCTS UCT might be beneficial in multimodal and deceptive scenarios, whereas the MCTS UCT is robust in unimodal scenarios and competitive in the rest of the scenarios used in this study.

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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