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Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

Pretrained large language models (LLMs) are increasingly utilized across a wide range of natural language processing (NLP) tasks due to their impressive capabilities as few-shot learners. Recent techniques, such as chain-of-thought (CoT)…

Machine Learning · Computer Science 2024-12-02 Kamesh R

Math world problems correction(MWPC) is a novel task dedicated to rectifying reasoning errors in the process of solving mathematical problems. In this paper, leveraging the advancements in large language models (LLMs), we address two key…

Computation and Language · Computer Science 2024-05-21 Hao Chen , Biaojie Zeng , Xin Lin , Liang He , Aimin Zhou

This is the second in a series of short reports that seek to help business, education, and policy leaders understand the technical details of working with AI through rigorous testing. In this report, we investigate Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-06-10 Lennart Meincke , Ethan Mollick , Lilach Mollick , Dan Shapiro

We introduce Meta-Reasoning Prompting (MRP), a novel and efficient system prompting method for large language models (LLMs) inspired by human meta-reasoning. Traditional in-context learning-based reasoning techniques, such as…

Computation and Language · Computer Science 2024-06-18 Peizhong Gao , Ao Xie , Shaoguang Mao , Wenshan Wu , Yan Xia , Haipeng Mi , Furu Wei

Large language models (LLMs) inevitably make mistakes when performing step-by-step mathematical reasoning. Process Reward Models (PRMs) have emerged as a promising solution by evaluating each reasoning step. However, existing PRMs typically…

Computation and Language · Computer Science 2025-03-28 Shuaijie She , Junxiao Liu , Yifeng Liu , Jiajun Chen , Xin Huang , Shujian Huang

Large language models (LLMs) still grapple with complex tasks like mathematical reasoning. Despite significant efforts invested in improving prefix prompts or reasoning process, the crucial role of problem context might have been neglected.…

Computation and Language · Computer Science 2024-03-28 Haoran Liao , Jidong Tian , Shaohua Hu , Hao He , Yaohui Jin

Large language models (LLMs) can perform complex reasoning by generating intermediate reasoning steps. Providing these steps for prompting demonstrations is called chain-of-thought (CoT) prompting. CoT prompting has two major paradigms. One…

Computation and Language · Computer Science 2022-10-10 Zhuosheng Zhang , Aston Zhang , Mu Li , Alex Smola

With the help of Chain-of-Thought (CoT) prompting, Large Language Models (LLMs) have achieved remarkable performance on various reasoning tasks. However, most of them have been evaluated under noise-free context and the dilemma for LLMs to…

Computation and Language · Computer Science 2023-10-26 Qingyuan Tian , Hanlun Zhu , Lei Wang , Yang Li , Yunshi Lan

Large-scale pre-trained language models (PLMs) bring new opportunities to challenging problems, especially those that need high-level intelligence, such as the math word problem (MWPs). However, directly applying existing PLMs to MWPs can…

Computation and Language · Computer Science 2024-01-01 Xinyu Zhu , Junjie Wang , Lin Zhang , Yuxiang Zhang , Ruyi Gan , Jiaxing Zhang , Yujiu Yang

Chain-of-thought (CoT) prompting, which offers step-by-step problem-solving rationales, has impressively unlocked the reasoning potential of large language models (LLMs). Yet, the standard CoT is less effective in problems demanding…

Computation and Language · Computer Science 2024-05-09 Song Jiang , Zahra Shakeri , Aaron Chan , Maziar Sanjabi , Hamed Firooz , Yinglong Xia , Bugra Akyildiz , Yizhou Sun , Jinchao Li , Qifan Wang , Asli Celikyilmaz

Mathematical reasoning in large language models has improved substantially with reinforcement learning using verifiable rewards, where final answers can be checked automatically and converted into reliable training signals. Most such…

Machine Learning · Computer Science 2026-04-06 Mohammad Rezaei , Jens Lehmann , Sahar Vahdati

Effective prompt engineering remains a central challenge in fully harnessing the capabilities of LLMs. While well-designed prompts can dramatically enhance performance, crafting them typically demands expert intuition and a nuanced…

Artificial Intelligence · Computer Science 2026-04-21 Paweł Batorski , Adrian Kosmala , Paul Swoboda

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

One way to enhance the reasoning capability of Large Language Models (LLMs) is to conduct Supervised Fine-Tuning (SFT) using Chain-of-Thought (CoT) annotations. This approach does not show sufficiently strong generalization ability,…

Computation and Language · Computer Science 2024-12-16 Trung Quoc Luong , Xinbo Zhang , Zhanming Jie , Peng Sun , Xiaoran Jin , Hang Li

Chain-of-Thought (CoT) prompting can dramatically improve the multi-step reasoning abilities of large language models (LLMs). CoT explicitly encourages the LLM to generate intermediate rationales for solving a problem, by providing a series…

Computation and Language · Computer Science 2023-06-02 Boshi Wang , Sewon Min , Xiang Deng , Jiaming Shen , You Wu , Luke Zettlemoyer , Huan Sun

Chain-of-thought (CoT) prompting with large language models has proven effective in numerous natural language processing tasks, but designing prompts that generalize well to diverse problem types can be challenging, especially in the…

Computation and Language · Computer Science 2023-06-12 Zhanming Jie , Wei Lu

Chain-of-Thought (CoT) prompting enhances mathematical reasoning in large language models (LLMs) by enabling detailed step-by-step solutions. However, due to the verbosity of LLMs, the resulting reasoning chains can be long, making it…

Computation and Language · Computer Science 2025-09-25 Sagnik Mukherjee , Abhinav Chinta , Takyoung Kim , Tarun Anoop Sharma , Dilek Hakkani-Tür

Large language models (LLMs) have recently been shown to deliver impressive performance in various NLP tasks. To tackle multi-step reasoning tasks, few-shot chain-of-thought (CoT) prompting includes a few manually crafted step-by-step…

Computation and Language · Computer Science 2023-05-29 Lei Wang , Wanyu Xu , Yihuai Lan , Zhiqiang Hu , Yunshi Lan , Roy Ka-Wei Lee , Ee-Peng Lim

Prompt-tuning (PT) for large language models (LLMs) can facilitate the performance on various conventional NLP tasks with significantly fewer trainable parameters. However, our investigation reveals that PT provides limited improvement and…

Computation and Language · Computer Science 2025-04-15 Sinan Fan , Liang Xie , Chen Shen , Ge Teng , Xiaosong Yuan , Xiaofeng Zhang , Chenxi Huang , Wenxiao Wang , Xiaofei He , Jieping Ye