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Autori principali: Kurečka, Martin, Nevyhoštěný, Václav, Novotný, Petr, Unčovský, Vít
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2412.13962
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author Kurečka, Martin
Nevyhoštěný, Václav
Novotný, Petr
Unčovský, Vít
author_facet Kurečka, Martin
Nevyhoštěný, Václav
Novotný, Petr
Unčovský, Vít
contents Constrained Markov decision processes (CMDPs), in which the agent optimizes expected payoffs while keeping the expected cost below a given threshold, are the leading framework for safe sequential decision making under stochastic uncertainty. Among algorithms for planning and learning in CMDPs, methods based on Monte Carlo tree search (MCTS) have particular importance due to their efficiency and extendibility to more complex frameworks (such as partially observable settings and games). However, current MCTS-based methods for CMDPs either struggle with finding safe (i.e., constraint-satisfying) policies, or are too conservative and do not find valuable policies. We introduce Threshold UCT (T-UCT), an online MCTS-based algorithm for CMDP planning. Unlike previous MCTS-based CMDP planners, T-UCT explicitly estimates Pareto curves of cost-utility trade-offs throughout the search tree, using these together with a novel action selection and threshold update rules to seek safe and valuable policies. Our experiments demonstrate that our approach significantly outperforms state-of-the-art methods from the literature.
format Preprint
id arxiv_https___arxiv_org_abs_2412_13962
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Threshold UCT: Cost-Constrained Monte Carlo Tree Search with Pareto Curves
Kurečka, Martin
Nevyhoštěný, Václav
Novotný, Petr
Unčovský, Vít
Artificial Intelligence
Constrained Markov decision processes (CMDPs), in which the agent optimizes expected payoffs while keeping the expected cost below a given threshold, are the leading framework for safe sequential decision making under stochastic uncertainty. Among algorithms for planning and learning in CMDPs, methods based on Monte Carlo tree search (MCTS) have particular importance due to their efficiency and extendibility to more complex frameworks (such as partially observable settings and games). However, current MCTS-based methods for CMDPs either struggle with finding safe (i.e., constraint-satisfying) policies, or are too conservative and do not find valuable policies. We introduce Threshold UCT (T-UCT), an online MCTS-based algorithm for CMDP planning. Unlike previous MCTS-based CMDP planners, T-UCT explicitly estimates Pareto curves of cost-utility trade-offs throughout the search tree, using these together with a novel action selection and threshold update rules to seek safe and valuable policies. Our experiments demonstrate that our approach significantly outperforms state-of-the-art methods from the literature.
title Threshold UCT: Cost-Constrained Monte Carlo Tree Search with Pareto Curves
topic Artificial Intelligence
url https://arxiv.org/abs/2412.13962