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Mathematical reasoning presents significant challenges for large language models (LLMs). To enhance their capabilities, we propose Monte Carlo Self-Refine Tree (MC-NEST), an extension of Monte Carlo Tree Search that integrates LLM-based…

Machine Learning · Computer Science 2025-06-03 Gollam Rabby , Farhana Keya , Sören Auer

Recent advancements in large language models (LLMs) have shown remarkable potential in automating machine learning tasks. However, existing LLM-based agents often struggle with low-diversity and suboptimal code generation. While recent work…

Computation and Language · Computer Science 2026-01-26 Zujie Liang , Feng Wei , Wujiang Xu , Lin Chen , Yuxi Qian , Xinhui Wu

We introduce an approach aimed at enhancing the reasoning capabilities of Large Language Models (LLMs) through an iterative preference learning process inspired by the successful strategy employed by AlphaZero. Our work leverages Monte…

Artificial Intelligence · Computer Science 2024-06-19 Yuxi Xie , Anirudh Goyal , Wenyue Zheng , Min-Yen Kan , Timothy P. Lillicrap , Kenji Kawaguchi , Michael Shieh

Despite the impressive capabilities of Large Language Models (LLMs) on various tasks, they still struggle with scenarios that involves complex reasoning and planning. Recent work proposed advanced prompting techniques and the necessity of…

Computation and Language · Computer Science 2024-12-11 Ye Tian , Baolin Peng , Linfeng Song , Lifeng Jin , Dian Yu , Haitao Mi , Dong Yu

Large language models (LLMs) demonstrate impressive language understanding and contextual learning abilities, making them suitable for natural language processing (NLP) tasks and complex mathematical reasoning. However, when applied to…

Artificial Intelligence · Computer Science 2023-09-13 Haotian Xu

This paper presents an advanced mathematical problem-solving framework, LLaMA-Berry, for enhancing the mathematical reasoning ability of Large Language Models (LLMs). The framework combines Monte Carlo Tree Search (MCTS) with iterative…

Artificial Intelligence · Computer Science 2024-11-22 Di Zhang , Jianbo Wu , Jingdi Lei , Tong Che , Jiatong Li , Tong Xie , Xiaoshui Huang , Shufei Zhang , Marco Pavone , Yuqiang Li , Wanli Ouyang , Dongzhan Zhou

LLMs demonstrate strong performance in auto-mated software engineering, particularly for code generation and issue resolution. While proprietary models like GPT-4o achieve high benchmarks scores on SWE-bench, their API dependence, cost, and…

Software Engineering · Computer Science 2025-06-17 Yibo Wang , Zhihao Peng , Ying Wang , Zhao Wei , Hai Yu , Zhiliang Zhu

Large language models (LLMs) have demonstrated remarkable capabilities in code generation and structured reasoning; however, their performance often degrades on complex tasks that require consistent multi-step planning. Recent work has…

Machine Learning · Computer Science 2025-08-11 Fei Xu Yu , Gina Adam , Nathaniel D. Bastian , Tian Lan

In response to the lack of trust in Artificial Intelligence (AI) for sequential planning, we design a Computational Tree Logic-guided large language model (LLM)-based natural language explanation framework designed for the Monte Carlo Tree…

Artificial Intelligence · Computer Science 2025-05-02 Ziyan An , Xia Wang , Hendrik Baier , Zirong Chen , Abhishek Dubey , Taylor T. Johnson , Jonathan Sprinkle , Ayan Mukhopadhyay , Meiyi Ma

Monte Carlo Tree Search (MCTS) is an effective test-time compute scaling (TTCS) method for improving the reasoning performance of large language models, but its highly variable execution time leads to severe long-tail latency in practice.…

Artificial Intelligence · Computer Science 2026-04-02 Hongbeen Kim , Juhyun Lee , Sanghyeon Lee , Kwanghoon Choi , Jaehyuk Huh

This paper introduces the Constrained Monte Carlo Tree Search (CMCTS) framework to enhance the mathematical reasoning capabilities of Large Language Models (LLM). By incorporating a constrained action space, Process Reward Model (PRM), and…

Computation and Language · Computer Science 2025-06-17 Qingwen Lin , Boyan Xu , Guimin Hu , Zijian Li , Zhifeng Hao , Keli Zhang , Ruichu Cai

Large language models (LLMs) often make reasoning errors when solving mathematical problems, and how to automatically detect and correct these errors has become an important research direction. However, existing approaches \textit{mainly…

Computation and Language · Computer Science 2025-11-19 Biaojie Zeng , Min Zhang , Juan Zhou , Fengrui Liu , Ruiyang Huang , Xin Lin

We introduce MCTS-RAG, a novel approach that enhances the reasoning capabilities of small language models on knowledge-intensive tasks by leveraging retrieval-augmented generation (RAG) to provide relevant context and Monte Carlo Tree…

Computation and Language · Computer Science 2025-10-09 Yunhai Hu , Yilun Zhao , Chen Zhao , Arman Cohan

We explore applying the Monte Carlo Tree Search (MCTS) algorithm in a notoriously difficult task: tuning programs for high-performance deep learning and image processing. We build our framework on top of Halide and show that MCTS can…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Ameer Haj-Ali , Hasan Genc , Qijing Huang , William Moses , John Wawrzynek , Krste Asanović , Ion Stoica

Despite their outstanding capabilities, large language models (LLMs) are prone to hallucination and producing factually incorrect information. This challenge has spurred efforts in attributed text generation, which prompts LLMs to generate…

Computation and Language · Computer Science 2025-06-23 Junyi Li , Hwee Tou Ng

Complex multi-step reasoning tasks, such as solving mathematical problems or generating code, remain a significant hurdle for even the most advanced large language models (LLMs). Verifying LLM outputs with an Outcome Reward Model (ORM) is a…

Computation and Language · Computer Science 2024-12-13 Liangchen Luo , Yinxiao Liu , Rosanne Liu , Samrat Phatale , Meiqi Guo , Harsh Lara , Yunxuan Li , Lei Shu , Yun Zhu , Lei Meng , Jiao Sun , Abhinav Rastogi

We propose a provably correct Monte Carlo tree search (MCTS) algorithm for solving risk-aware Markov decision processes (MDPs) with entropic risk measure (ERM) objectives. We provide a non-asymptotic analysis of our proposed algorithm,…

Machine Learning · Computer Science 2026-02-06 Pedro P. Santos , Jacopo Silvestrin , Alberto Sardinha , Francisco S. Melo

Handcrafting heuristics for solving complex optimization tasks (e.g., route planning and task allocation) is a common practice but requires extensive domain knowledge. Recently, Large Language Model (LLM)-based automatic heuristic design…

Artificial Intelligence · Computer Science 2025-02-03 Zhi Zheng , Zhuoliang Xie , Zhenkun Wang , Bryan Hooi

Flexible implementations of Monte Carlo Tree Search (MCTS), combined with domain specific knowledge and hybridization with other search algorithms, can be powerful for finding the solutions to problems in complex planning. We introduce…

Machine Learning · Computer Science 2021-08-24 Larkin Liu , Jun Tao Luo

Large Language Models (LLMs) have demonstrated remarkable improvements in reasoning and planning through increased test-time compute, often by framing problem-solving as a search process. While methods like Monte Carlo Tree Search (MCTS)…

Artificial Intelligence · Computer Science 2025-06-06 Nathan Herr , Tim Rocktäschel , Roberta Raileanu
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