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arXiv 2408.09495cs.LG

线性时序逻辑强化学习中的定向探索

Directed Exploration in Reinforcement Learning from Linear Temporal Logic

Department of Computer Science(计算机科学系);ETH Zürich(苏黎世联邦理工学院);Max Planck Institute for Intelligent Systems(智能系统研究所)

Marco Bagatella, Andreas Krause, Georg Martius

AI总结:

针对LTL强化学习奖励稀疏导致探索困难的问题,本文利用LDBA构建马尔可夫奖励过程并以贝叶斯先验估计高层价值,将其转化为内在塑形奖励,实现从表格到高维连续系统的定向探索。

摘要:

线性时序逻辑(LTL)是强化学习中用于任务规约的强大语言,因为它能够描述超出传统折扣回报形式表达能力的目标。尽管如此,近期研究表明,LTL公式可以被转换为一种可变奖励与折扣机制,对其进行优化会产生一个策略,该策略可最大化公式满足概率的下界。然而,合成得到的奖励信号在本质上仍然稀疏,从而使探索具有挑战性。我们旨在克服这一限制;该限制会阻碍现有算法扩展到低维、短视野问题之外。我们展示了如何通过进一步利用LTL规约,并将其对应的极限确定性Büchi自动机(LDBA)塑造为马尔可夫奖励过程来实现更好的探索,从而支持一种高层价值估计。通过对LDBA动态采取贝叶斯视角并提出合适的先验分布,我们表明通过该过程估计出的价值可被视为一种塑形势,并映射为信息丰富的内在奖励。在实验方面,我们展示了本方法从表格设置到高维连续系统的应用;迄今为止,这些系统对基于LTL的强化学习算法而言一直是一项重大挑战。

英文摘要:

Linear temporal logic (LTL) is a powerful language for task specification in reinforcement learning, as it allows describing objectives beyond the expressivity of conventional discounted return formulations. Nonetheless, recent works have shown that LTL formulas can be translated into a variable rewarding and discounting scheme, whose optimization produces a policy maximizing a lower bound on the probability of formula satisfaction. However, the synthesized reward signal remains fundamentally sparse, making exploration challenging. We aim to overcome this limitation, which can prevent current algorithms from scaling beyond low-dimensional, short-horizon problems. We show how better exploration can be achieved by further leveraging the LTL specification and casting its corresponding Limit Deterministic Büchi Automaton (LDBA) as a Markov reward process, thus enabling a form of high-level value estimation. By taking a Bayesian perspective over LDBA dynamics and proposing a suitable prior distribution, we show that the values estimated through this procedure can be treated as a shaping potential and mapped to informative intrinsic rewards. Empirically, we demonstrate applications of our method from tabular settings to high-dimensional continuous systems, which have so far represented a significant challenge for LTL-based reinforcement learning 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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