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Curriculum learning for training LLMs requires a difficulty signal that aligns with reasoning while remaining scalable and interpretable. We propose a simple premise: tasks that demand deeper depth of thought for humans should also be…

Machine Learning · Computer Science 2025-08-27 Jeesu Jung , Sangkeun Jung

Large language models (LLMs) solve problems more accurately and interpretably when instructed to work out the answer step by step using a ``chain-of-thought'' (CoT) prompt. One can also improve LLMs' performance on a specific task by…

Training on large amounts of rationales (i.e., CoT Fine-tuning) is effective at improving the reasoning capabilities of large language models (LLMs). However, acquiring human-authored rationales or augmenting rationales from proprietary…

Computation and Language · Computer Science 2024-10-04 Hyeonbin Hwang , Doyoung Kim , Seungone Kim , Seonghyeon Ye , Minjoon Seo

Solving algebraic word problems (AWPs) has recently emerged as an important natural language processing task. Recently, large language models (LLMs) have demonstrated powerful mathematical capabilities, and the Chain-of-Thought technique,…

Artificial Intelligence · Computer Science 2025-07-02 Yunze Lin

Requiring a large language model (LLM) to generate intermediary reasoning steps, known as Chain of Thought (CoT), has been shown to be an effective way of boosting performance. Previous approaches have focused on generating multiple…

Computation and Language · Computer Science 2025-05-28 Haritz Puerto , Tilek Chubakov , Xiaodan Zhu , Harish Tayyar Madabushi , Iryna Gurevych

Large Language Models (LLMs) solve many reasoning tasks via chain-of-thought (CoT) prompting, but smaller models (about 7 to 8B parameters) still struggle with multi-step reasoning under tight compute and token budgets. Existing test time…

Computation and Language · Computer Science 2026-04-29 Sagnik Chatterjee , Atharva Patil , Sricharan Ramesh

Mathematical reasoning remains a significant challenge for large language models (LLMs), despite progress in prompting techniques such as Chain-of-Thought (CoT). We present **Chain of Mathematically Annotated Thought (CoMAT)**, which…

Artificial Intelligence · Computer Science 2026-01-16 Joshua Ong Jun Leang , Aryo Pradipta Gema , Shay B. Cohen

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

Recently, o1-like models have drawn significant attention, where these models produce the long Chain-of-Thought (CoT) reasoning steps to improve the reasoning abilities of existing Large Language Models (LLMs). In this paper, to understand…

Computation and Language · Computer Science 2025-04-01 Yancheng He , Shilong Li , Jiaheng Liu , Weixun Wang , Xingyuan Bu , Ge Zhang , Zhongyuan Peng , Zhaoxiang Zhang , Zhicheng Zheng , Wenbo Su , Bo Zheng

Large Language Models (LLMs) have shown remarkable progress across domains, yet their ability to perform inductive reasoning - inferring latent rules from sparse examples - remains limited. It is often assumed that chain-of-thought (CoT)…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Haibo Jin , Peiyan Zhang , Man Luo , Haohan Wang

Large language models (LLMs) have demonstrated strong reasoning and tool-use capabilities, yet they often fail in real-world tool-interactions due to incorrect parameterization, poor tool selection, or misinterpretation of user intent.…

Artificial Intelligence · Computer Science 2025-09-23 Hy Dang , Tianyi Liu , Zhuofeng Wu , Jingfeng Yang , Haoming Jiang , Tao Yang , Pei Chen , Zhengyang Wang , Helen Wang , Huasheng Li , Bing Yin , Meng Jiang

Long chains of thought (CoT) from current language models frequently contain logical gaps and unjustified leaps, limiting the gains from additional test-time compute. Improving reasoning quality directly would require process reward models,…

Artificial Intelligence · Computer Science 2026-05-26 Jingchu Gai , Guanning Zeng , Christina Baek , Chen Wu , J. Zico Kolter , Andrej Risteski , Aditi Raghunathan

Large Language Models (LLMs) excel at various tasks, including problem-solving and question-answering. However, LLMs often find Math Word Problems (MWPs) challenging because solving them requires a range of reasoning and mathematical…

Artificial Intelligence · Computer Science 2025-09-24 Mitchell Piehl , Dillon Wilson , Ananya Kalita , Jugal Kalita

Large language models (LLMs) have demonstrated remarkable performance across a wide range of tasks. Advances in prompt engineering and fine-tuning techniques have further enhanced their ability to address complex reasoning challenges.…

Computation and Language · Computer Science 2024-12-16 Jing Bi , Yuting Wu , Weiwei Xing , Zhenjie Wei

The advancement of Large Language Models (LLMs) has brought substantial attention to the Chain of Thought (CoT) approach, primarily due to its ability to enhance the capability of LLMs on complex reasoning tasks. Moreover, the significance…

Computation and Language · Computer Science 2024-03-05 Bingshuai Liu , Chenyang Lyu , Zijun Min , Zhanyu Wang , Jinsong Su , Longyue Wang

With the remarkable success of Multimodal Large Language Models (MLLMs) in perception tasks, enhancing their complex reasoning capabilities has emerged as a critical research focus. Existing models still suffer from challenges such as…

Computation and Language · Computer Science 2025-12-01 Wenxin Zhu , Andong Chen , Yuchen Song , Kehai Chen , Conghui Zhu , Ziyan Chen , Tiejun Zhao

Large language models (LLMs) can solve an increasing number of complex reasoning tasks while making surprising mistakes in basic numerical understanding and processing (such as 9.11 > 9.9). The latter ability is essential for tackling…

Computation and Language · Computer Science 2025-03-06 Haotong Yang , Yi Hu , Shijia Kang , Zhouchen Lin , Muhan Zhang

Although Large Language Models (LLMs) achieve remarkable performance across various tasks, they often struggle with complex reasoning tasks, such as answering mathematical questions. Recent efforts to address this issue have primarily…

Machine Learning · Computer Science 2024-06-27 Jikun Kang , Xin Zhe Li , Xi Chen , Amirreza Kazemi , Qianyi Sun , Boxing Chen , Dong Li , Xu He , Quan He , Feng Wen , Jianye Hao , Jun Yao

Large language models (LLMs) have achieved remarkable progress on mathematical tasks through Chain-of-Thought (CoT) reasoning. However, existing mathematical CoT datasets often suffer from Thought Leaps due to experts omitting intermediate…

Computation and Language · Computer Science 2025-12-01 Haolei Xu , Yuchen Yan , Yongliang Shen , Wenqi Zhang , Guiyang Hou , Shengpei Jiang , Kaitao Song , Weiming Lu , Jun Xiao , Yueting Zhuang

Large language models (LLMs) can achieve highly effective performance on various reasoning tasks by incorporating step-by-step chain-of-thought (CoT) prompting as demonstrations. However, the reasoning chains of demonstrations generated by…

Computation and Language · Computer Science 2024-03-18 Jiashuo Sun , Yi Luo , Yeyun Gong , Chen Lin , Yelong Shen , Jian Guo , Nan Duan
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