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Current literature, aiming to surpass the "Chain-of-Thought" approach, often resorts to external modi operandi involving halting, modifying, and then resuming the generation process to boost Large Language Models' (LLMs) reasoning…

Computation and Language · Computer Science 2024-06-04 Bilgehan Sel , Ahmad Al-Tawaha , Vanshaj Khattar , Ruoxi Jia , Ming Jin

Tree-of-Thought (ToT) reasoning structures Large Language Model (LLM) inference as a tree-based search, demonstrating strong potential for solving complex mathematical and programming tasks. However, its efficiency is constrained by the…

Machine Learning · Computer Science 2026-05-15 Shuzhang Zhong , Haochen Huang , Shengxuan Qiu , Pengfei Zuo , Runsheng Wang , Meng Li

Chain-of-thought (CoT), tree-of-thought (ToT), and related techniques work surprisingly well in practice for some complex reasoning tasks with Large Language Models (LLMs), but why? This work seeks the underlying reasons by conducting…

Artificial Intelligence · Computer Science 2024-06-19 Liwei Kang , Zirui Zhao , David Hsu , Wee Sun Lee

Tree search has become as a representative framework for test-time reasoning with large language models (LLMs), exemplified by methods such as Tree-of-Thought and Monte Carlo Tree Search. However, it remains difficult to provide instant and…

Artificial Intelligence · Computer Science 2026-03-02 Jiaxi Li , Yucheng Shi , Xiao Huang , Jin Lu , Ninghao Liu

Large language models (LLMs) have shown impressive emergent abilities in a wide range of tasks, but the associated expensive API cost greatly limits the real application. Previous works like chain-of-thought (CoT) and tree-of-thoughts (ToT)…

Computation and Language · Computer Science 2024-08-27 Yu Shang , Yu Li , Fengli Xu , Yong Li

Large language models (LLMs) have demonstrated impressive capability in reasoning and planning when integrated with tree-search-based prompting methods. However, since these methods ignore the previous search experiences, they often make…

Computation and Language · Computer Science 2024-07-19 Wenyang Hui , Kewei Tu

This paper addresses two limitations of large language models (LLMs) in solving complex problems: (1) their reasoning processes exhibit Bayesian-like stochastic generation, where each token is sampled from a context-dependent probability…

Artificial Intelligence · Computer Science 2026-04-20 Lei Lin , Jizhao Zhu , Yong Liu , Donghong Sun , Hongbo He , Yihua Du

Reasoning is critical for large language models (LLMs) to excel in a wide range of tasks. While methods like Chain-of-Thought (CoT) reasoning and enhance LLM performance by decomposing problems into intermediate steps, they also incur…

Computation and Language · Computer Science 2025-06-03 Tingxu Han , Zhenting Wang , Chunrong Fang , Shiyu Zhao , Shiqing Ma , Zhenyu Chen

This paper presents a novel approach termed Layer-of-Thoughts Prompting (LoT), which utilizes constraint hierarchies to filter and refine candidate responses to a given query. By integrating these constraints, our method enables a…

Computation and Language · Computer Science 2024-10-17 Wachara Fungwacharakorn , Nguyen Ha Thanh , May Myo Zin , Ken Satoh

There emerges a promising trend of using large language models (LLMs) to generate code-like plans for complex inference tasks such as visual reasoning. This paradigm, known as LLM-based planning, provides flexibility in problem solving and…

Computation and Language · Computer Science 2023-08-22 Pengbo Hu , Ji Qi , Xingyu Li , Hong Li , Xinqi Wang , Bing Quan , Ruiyu Wang , Yi Zhou

Recently, test-time scaling has garnered significant attention from the research community, largely due to the substantial advancements of the o1 model released by OpenAI. By allocating more computational resources during the inference…

Large language models (LLMs) excel at complex tasks thanks to advances in their reasoning abilities. However, existing methods overlook the trade-off between reasoning effectiveness and efficiency, often encouraging unnecessarily long…

Machine Learning · Computer Science 2025-10-16 Jingyao Wang , Wenwen Qiang , Zeen Song , Changwen Zheng , Hui Xiong

Numerous applications of large language models (LLMs) rely on their ability to perform step-by-step reasoning. However, the reasoning behavior of LLMs remains poorly understood, posing challenges to research, development, and safety. To…

Machine Learning · Computer Science 2026-03-04 Zhanke Zhou , Zhaocheng Zhu , Xuan Li , Mikhail Galkin , Xiao Feng , Sanmi Koyejo , Jian Tang , Bo Han

Test-time scaling improves large language models (LLMs) on long-horizon reasoning tasks by allocating more compute at inference. LLM inference via tree search (LITS) achieves strong performance but is highly inefficient. We propose…

Artificial Intelligence · Computer Science 2026-04-13 Xinzhe Li

We introduce Graph of Thoughts (GoT): a framework that advances prompting capabilities in large language models (LLMs) beyond those offered by paradigms such as Chain-of-Thought or Tree of Thoughts (ToT). The key idea and primary advantage…

Large Language Models (LLMs) demonstrate exceptional performance across diverse tasks but come with substantial energy and computational costs, particularly in request-heavy scenarios. In many real-world applications, the full scale and…

Computation and Language · Computer Science 2026-03-24 Patrick Wilhelm , Thorsten Wittkopp , Odej Kao

Large language models (LLMs) can often produce substantially better outputs when allowed to use additional test-time computation, such as sampling, chain of thought, backtracking, or revising partial solutions. Despite the growing empirical…

Machine Learning · Computer Science 2026-03-25 Amir Azarmehr , Soheil Behnezhad , Alma Ghafari

Large Language Models (LLMs) gain substantial reasoning and decision-making capabilities from thought structures. However, existing methods such as Tree of Thought and Retrieval Augmented Thoughts often fall short in complex tasks due to…

Computation and Language · Computer Science 2024-12-24 Jinghan Zhang , Xiting Wang , Weijieying Ren , Lu Jiang , Dongjie Wang , Kunpeng Liu

Large language models (LLMs) have achieved remarkable multi-step reasoning capabilities across various domains. However, LLMs still face distinct challenges in complex logical reasoning, as (1) proof-finding requires systematic exploration…

Computation and Language · Computer Science 2025-09-16 Kang He , Kaushik Roy

Mathematical Word Problems (MWPs) are among the most challenging tasks in natural language processing because they require both linguistic understanding and multi-step numerical reasoning. While Chain-of-Thought (CoT) prompting has shown…

Computation and Language · Computer Science 2025-12-08 Aurprita Mahmood , Sabrin alam , Neloy kumer Sagor , Md. Abdul Hadi , Md. Sehab Al Islam , Minhajul Islam