Atom of Thoughts for Markov LLM Test-Time Scaling

Fuente: arXiv
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Autori principali: Teng, Fengwei, Shi, Quan, Yu, Zhaoyang, Zhang, Jiayi, Luo, Yuyu, Wu, Chenglin, Guo, Zhijiang
Natura: Preprint
Pubblicazione: 2025
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author Teng, Fengwei
Shi, Quan
Yu, Zhaoyang
Zhang, Jiayi
Luo, Yuyu
Wu, Chenglin
Guo, Zhijiang
author_facet Teng, Fengwei
Shi, Quan
Yu, Zhaoyang
Zhang, Jiayi
Luo, Yuyu
Wu, Chenglin
Guo, Zhijiang
contents Large Language Models (LLMs) have achieved significant performance gains through test-time scaling methods. However, existing approaches often incur redundant computations due to the accumulation of historical dependency information during inference. To address this challenge, we leverage the memoryless property of Markov processes to minimize reliance on historical context and propose a Markovian reasoning process. This foundational Markov chain structure enables seamless integration with various test-time scaling methods, thereby improving their scaling efficiency. By further scaling up the Markovian reasoning chain through integration with techniques such as tree search and reflective refinement, we uncover an emergent atomic reasoning structure, where reasoning trajectories are decomposed into a series of self-contained, low-complexity atomic units. We name this design Atom of Thoughts (\our). Extensive experiments demonstrate that \our consistently outperforms existing baselines as computational budgets increase. Importantly, \our integrates seamlessly with existing reasoning frameworks and different LLMs (both reasoning and non-reasoning), facilitating scalable, high-performance inference.We submit our code alongside this paper and will make it publicly available to facilitate reproducibility and future research.
format Preprint
id arxiv_https___arxiv_org_abs_2502_12018
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Atom of Thoughts for Markov LLM Test-Time Scaling
Teng, Fengwei
Shi, Quan
Yu, Zhaoyang
Zhang, Jiayi
Luo, Yuyu
Wu, Chenglin
Guo, Zhijiang
Computation and Language
Artificial Intelligence
Machine Learning
Large Language Models (LLMs) have achieved significant performance gains through test-time scaling methods. However, existing approaches often incur redundant computations due to the accumulation of historical dependency information during inference. To address this challenge, we leverage the memoryless property of Markov processes to minimize reliance on historical context and propose a Markovian reasoning process. This foundational Markov chain structure enables seamless integration with various test-time scaling methods, thereby improving their scaling efficiency. By further scaling up the Markovian reasoning chain through integration with techniques such as tree search and reflective refinement, we uncover an emergent atomic reasoning structure, where reasoning trajectories are decomposed into a series of self-contained, low-complexity atomic units. We name this design Atom of Thoughts (\our). Extensive experiments demonstrate that \our consistently outperforms existing baselines as computational budgets increase. Importantly, \our integrates seamlessly with existing reasoning frameworks and different LLMs (both reasoning and non-reasoning), facilitating scalable, high-performance inference.We submit our code alongside this paper and will make it publicly available to facilitate reproducibility and future research.
title Atom of Thoughts for Markov LLM Test-Time Scaling
topic Computation and Language
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2502.12018