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Advanced applied mathematics problems are underrepresented in existing Large Language Model (LLM) benchmark datasets. To address this, we introduce HARDMath, a dataset inspired by a graduate course on asymptotic methods, featuring…

Many challenging reasoning tasks require not just rapid, intuitive responses, but a more deliberate, multi-step approach. Recent progress in large language models (LLMs) highlights an important shift from the "System 1" way of quick…

Computation and Language · Computer Science 2025-06-03 Guizhen Chen , Weiwen Xu , Hao Zhang , Hou Pong Chan , Chaoqun Liu , Lidong Bing , Deli Zhao , Anh Tuan Luu , Yu Rong

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 impressive performance across various reasoning tasks. However, even state-of-the-art LLMs such as ChatGPT are prone to logical errors during their reasoning processes. Existing solutions, such as…

Computation and Language · Computer Science 2024-03-25 Chi Hu , Yuan Ge , Xiangnan Ma , Hang Cao , Qiang Li , Yonghua Yang , Tong Xiao , Jingbo Zhu

Undergraduate students of artificial intelligence often struggle with representing knowledge as logical sentences. This is a skill that seems to require extensive practice to obtain, suggesting a teaching strategy that involves the…

Computers and Society · Computer Science 2015-07-15 Angelo Kyrilov , David Noelle

As the mathematical capabilities of large language models (LLMs) improve, it becomes increasingly important to evaluate their performance on research-level tasks at the frontier of mathematical knowledge. However, existing benchmarks are…

As Large Language Models (LLMs) continue to exhibit remarkable performance in natural language understanding tasks, there is a crucial need to measure their ability for human-like multi-step logical reasoning. Existing logical reasoning…

Computation and Language · Computer Science 2024-10-08 Nisarg Patel , Mohith Kulkarni , Mihir Parmar , Aashna Budhiraja , Mutsumi Nakamura , Neeraj Varshney , Chitta Baral

Chain-of-Thought (CoT) prompting has become the de facto method to elicit reasoning capabilities from large language models (LLMs). However, to mitigate hallucinations in CoT that are notoriously difficult to detect, current methods such as…

Computation and Language · Computer Science 2025-06-06 Chengwu Liu , Ye Yuan , Yichun Yin , Yan Xu , Xin Xu , Zaoyu Chen , Yasheng Wang , Lifeng Shang , Qun Liu , Ming Zhang

Large language models (LLMs) have been used to generate formal proofs of mathematical theorems in proofs assistants such as Lean. However, we often want to optimize a formal proof with respect to various criteria, depending on its…

Artificial Intelligence · Computer Science 2026-05-22 Riyaz Ahuja , Jeremy Avigad , Prasad Tetali , Sean Welleck

Automated generation of feedback on programming assignments holds significant benefits for programming education, especially when it comes to advanced assignments. Automated Program Repair techniques, especially Large Language Model based…

Software Engineering · Computer Science 2024-04-03 Qianhui Zhao , Fang Liu , Li Zhang , Yang Liu , Zhen Yan , Zhenghao Chen , Yufei Zhou , Jing Jiang , Ge Li

The rapid progress in the field of natural language processing (NLP) systems and the expansion of large language models (LLMs) have opened up numerous opportunities in the field of education and instructional methods. These advancements…

Computation and Language · Computer Science 2024-04-23 Avinash Anand , Mohit Gupta , Kritarth Prasad , Navya Singla , Sanjana Sanjeev , Jatin Kumar , Adarsh Raj Shivam , Rajiv Ratn Shah

Learning from one's mistakes is an effective human learning technique where the learners focus more on the topics where mistakes were made, so as to deepen their understanding. In this paper, we investigate if this human learning strategy…

Machine Learning · Computer Science 2022-01-17 Bhanu Garg , Li Zhang , Pradyumna Sridhara , Ramtin Hosseini , Eric Xing , Pengtao Xie

Multimodal large language models (MLLMs) have demonstrated remarkable capabilities in vision-language answering tasks. Despite their strengths, these models often encounter challenges in achieving complex reasoning tasks such as…

Artificial Intelligence · Computer Science 2025-11-11 Jinhao Chen , Zhen Yang , Jianxin Shi , Tianyu Wo , Jie Tang

Large Language Models (LLMs) have recently achieved remarkable progress in mathematical reasoning. To enable such capabilities, many existing works distill strong reasoning models into long chains of thought or design algorithms to…

Computation and Language · Computer Science 2026-03-13 Chengyu Shen , Zhen Hao Wong , Runming He , Hao Liang , Meiyi Qiang , Zimo Meng , Zhengyang Zhao , Bohan Zeng , Zhengzhou Zhu , Bin Cui , Wentao Zhang

In this paper we report a study in which we have developed a teaching cycle based closely on Bloom's Learning for Mastery (LFM). The teaching cycle ameliorates some of the practical problems with LFM by making use of the STACK online…

History and Overview · Mathematics 2017-12-22 Timo Pelkola , Antti Rasila , Christopher Sangwin

Ensuring large language models' (LLMs) responses align with prompt instructions is crucial for application development. Based on our formative study with industry professionals, the alignment requires heavy human involvement and tedious…

Human-Computer Interaction · Computer Science 2024-11-12 Ishika Joshi , Simra Shahid , Shreeya Venneti , Manushree Vasu , Yantao Zheng , Yunyao Li , Balaji Krishnamurthy , Gromit Yeuk-Yin Chan

Recent advances in large language models (LLMs) have enabled zero-shot automated essay scoring (AES), providing a promising way to reduce the cost and effort of essay scoring in comparison with manual grading. However, most existing…

Computation and Language · Computer Science 2025-09-23 Takumi Shibata , Yuichi Miyamura

In order to track and comprehend the academic achievement of students, both private and public educational institutions devote a significant amount of resources and labour. One of the difficult issues that institutes deal with on a regular…

Computers and Society · Computer Science 2022-11-14 Bibhuprasad Mahakud , Bibhuti Parida , Ipsit Panda , Souvik Maity , Arpita Sahoo , Reeta Sharma

The rapid integration of Large Language Models (LLMs) into software engineering practice is reshaping how software testing activities are performed. LLMs are increasingly used to support software testing. Consequently, software testing…

Software Engineering · Computer Science 2026-03-30 Peng Yang , Yunfeng Zhu , Chao Chang , Shengcheng Yu , Zhenyu Chen , Yong Tang

In this paper, we present a novel approach for distilling math word problem solving capabilities from large language models (LLMs) into smaller, more efficient student models. Our approach is designed to consider the student model's…

Machine Learning · Computer Science 2023-05-25 Zhenwen Liang , Wenhao Yu , Tanmay Rajpurohit , Peter Clark , Xiangliang Zhang , Ashwin Kaylan
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