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Main Authors: Deng, Ziwei, Deng, Mian, Liang, Chenjing, Gao, Zeming, Ma, Chennan, Lin, Chenxing, Zhang, Haipeng, Mei, Songzhu, Shen, Siqi, Wang, Cheng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.18442
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author Deng, Ziwei
Deng, Mian
Liang, Chenjing
Gao, Zeming
Ma, Chennan
Lin, Chenxing
Zhang, Haipeng
Mei, Songzhu
Shen, Siqi
Wang, Cheng
author_facet Deng, Ziwei
Deng, Mian
Liang, Chenjing
Gao, Zeming
Ma, Chennan
Lin, Chenxing
Zhang, Haipeng
Mei, Songzhu
Shen, Siqi
Wang, Cheng
contents Large Language Models (LLMs) are increasingly being explored across a range of reasoning tasks. However, LLMs sometimes struggle with reasoning tasks under uncertainty that are relatively easy for humans, such as planning actions in stochastic environments. The adoption of LLMs for reasoning is impeded by uncertainty challenges, such as LLM uncertainty and environmental uncertainty. LLM uncertainty arises from the stochastic sampling process inherent to LLMs. Most LLM-based Decision-Making (LDM) approaches address LLM uncertainty through multiple reasoning chains or search trees. However, these approaches overlook environmental uncertainty, which leads to poor performance in environments with stochastic state transitions. Some recent LDM approaches deal with uncertainty by forecasting the probability of unknown variables. However, they are not designed for multi-step reasoning tasks that require interaction with the environment. To address uncertainty in LLM decision-making, we introduce PlanU, an LLM-based planning method that captures uncertainty within Monte Carlo Tree Search (MCTS). PlanU models the return of each node in the MCTS as a quantile distribution, which uses a set of quantiles to represent the return distribution. To balance exploration and exploitation during tree search, PlanU introduces an Upper Confidence Bounds with Curiosity (UCC) score which estimates the uncertainty of MCTS nodes. Through extensive experiments, we demonstrate the effectiveness of PlanU in LLM-based reasoning tasks under uncertainty.
format Preprint
id arxiv_https___arxiv_org_abs_2510_18442
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle PlanU: Large Language Model Reasoning through Planning under Uncertainty
Deng, Ziwei
Deng, Mian
Liang, Chenjing
Gao, Zeming
Ma, Chennan
Lin, Chenxing
Zhang, Haipeng
Mei, Songzhu
Shen, Siqi
Wang, Cheng
Artificial Intelligence
Large Language Models (LLMs) are increasingly being explored across a range of reasoning tasks. However, LLMs sometimes struggle with reasoning tasks under uncertainty that are relatively easy for humans, such as planning actions in stochastic environments. The adoption of LLMs for reasoning is impeded by uncertainty challenges, such as LLM uncertainty and environmental uncertainty. LLM uncertainty arises from the stochastic sampling process inherent to LLMs. Most LLM-based Decision-Making (LDM) approaches address LLM uncertainty through multiple reasoning chains or search trees. However, these approaches overlook environmental uncertainty, which leads to poor performance in environments with stochastic state transitions. Some recent LDM approaches deal with uncertainty by forecasting the probability of unknown variables. However, they are not designed for multi-step reasoning tasks that require interaction with the environment. To address uncertainty in LLM decision-making, we introduce PlanU, an LLM-based planning method that captures uncertainty within Monte Carlo Tree Search (MCTS). PlanU models the return of each node in the MCTS as a quantile distribution, which uses a set of quantiles to represent the return distribution. To balance exploration and exploitation during tree search, PlanU introduces an Upper Confidence Bounds with Curiosity (UCC) score which estimates the uncertainty of MCTS nodes. Through extensive experiments, we demonstrate the effectiveness of PlanU in LLM-based reasoning tasks under uncertainty.
title PlanU: Large Language Model Reasoning through Planning under Uncertainty
topic Artificial Intelligence
url https://arxiv.org/abs/2510.18442