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Research suggests that tutors should adopt a strategic approach when addressing math errors made by low-efficacy students. Rather than drawing direct attention to the error, tutors should guide the students to identify and correct their…

Human-Computer Interaction · Computer Science 2024-01-09 Sanjit Kakarla , Danielle Thomas , Jionghao Lin , Shivang Gupta , Kenneth R. Koedinger

Large Language Models (LLMs) have demonstrated remarkable capabilities across various domains. Math Word Problems (MWPs) serve as a crucial benchmark for evaluating LLMs' reasoning abilities. While most research primarily focuses on…

Computation and Language · Computer Science 2025-09-09 Yuhong Sun , Zhangyue Yin , Xuanjing Huang , Xipeng Qiu , Hui Zhao

Large language models often struggle with length generalization and solving complex problem instances beyond their training distribution. We present a self-improvement approach where models iteratively generate and learn from their own…

Machine Learning · Computer Science 2025-02-14 Nayoung Lee , Ziyang Cai , Avi Schwarzschild , Kangwook Lee , Dimitris Papailiopoulos

Catastrophic forgetting remains a major challenge when fine-tuning large language models (LLMs) on narrow, task-specific data, often degrading their general knowledge and reasoning abilities. We propose SA-SFT, a lightweight…

Computation and Language · Computer Science 2026-02-25 Yutao Sun , Mingshuai Chen , Tiancheng Zhao , Phillip Miao , Zilun Zhang , Haozhan Shen , Ruizhe Zhu , Jianwei Yin

Large language models (LLMs) suffer from catastrophic forgetting during continual learning. Conventional rehearsal-based methods rely on previous training data to retain the model's ability, which may not be feasible in real-world…

Computation and Language · Computer Science 2024-05-28 Jianheng Huang , Leyang Cui , Ante Wang , Chengyi Yang , Xinting Liao , Linfeng Song , Junfeng Yao , Jinsong Su

Although large language models (LLMs) have transformed AI, they still make mistakes and can explore unproductive reasoning paths. Self-correction capability is essential for deploying LLMs in safety-critical applications. We uncover a…

Computation and Language · Computer Science 2025-10-07 Ken Tsui

People use large language models (LLMs) when they should not. This is partly because they see LLMs compose poems and answer intricate questions, so they understandably, but incorrectly, assume LLMs won't stumble on basic tasks like simple…

Computation and Language · Computer Science 2025-12-29 Nathan Stringham , Fateme Hashemi Chaleshtori , Xinyuan Yan , Zhichao Xu , Bei Wang , Ana Marasović

Self-training is a classical approach in semi-supervised learning which is successfully applied to a variety of machine learning problems. Self-training algorithm generates pseudo-labels for the unlabeled examples and progressively refines…

Machine Learning · Computer Science 2020-06-22 Samet Oymak , Talha Cihad Gulcu

The idea of using a separately trained target model (or teacher) to improve the performance of the student model has been increasingly popular in various machine learning domains, and meta-learning is no exception; a recent discovery shows…

Machine Learning · Computer Science 2022-10-12 Jihoon Tack , Jongjin Park , Hankook Lee , Jaeho Lee , Jinwoo Shin

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Mathematical reasoning remains a challenging area for large language models (LLMs), prompting the development of math-specific LLMs such as LLEMMA, DeepSeekMath, and Qwen2-Math, among others. These models typically follow a two-stage…

Computation and Language · Computer Science 2025-03-25 Zui Chen , Tianqiao Liu , Mi Tian , Qing Tong , Weiqi Luo , Zitao Liu

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

In this article, we introduce 'Internalized Self-Correction' (InSeC) for large language models (LLMs). While many approaches exist for self-reflection at inference time, we propose a novel method that combines ideas from negative sampling,…

Artificial Intelligence · Computer Science 2024-12-24 Nishanth Upadhyaya , Raghavendra Sridharamurthy

Large Language Models (LLMs) are increasingly utilized in AI-driven educational instruction and assessment, particularly within mathematics education. The capability of LLMs to generate accurate answers and detailed solutions for math…

Artificial Intelligence · Computer Science 2025-08-15 Liang Zhang , Edith Aurora Graf

Large "instruction-tuned" language models (i.e., finetuned to respond to instructions) have demonstrated a remarkable ability to generalize zero-shot to new tasks. Nevertheless, they depend heavily on human-written instruction data that is…

Computation and Language · Computer Science 2023-05-29 Yizhong Wang , Yeganeh Kordi , Swaroop Mishra , Alisa Liu , Noah A. Smith , Daniel Khashabi , Hannaneh Hajishirzi

Training on model-generated synthetic data is a promising approach for finetuning LLMs, but it remains unclear when it helps or hurts. In this paper, we investigate this question for math reasoning via an empirical study, followed by…

Machine Learning · Computer Science 2024-06-21 Amrith Setlur , Saurabh Garg , Xinyang Geng , Naman Garg , Virginia Smith , Aviral Kumar

We introduce Learning to Self-Evolve (LSE), a reinforcement learning framework that trains large language models (LLMs) to improve their own contexts at test time. We situate LSE in the setting of test-time self-evolution, where a model…

Computation and Language · Computer Science 2026-03-20 Xiaoyin Chen , Canwen Xu , Yite Wang , Boyi Liu , Zhewei Yao , Yuxiong He

Synthetic data has been proposed as a solution to address the issue of high-quality data scarcity in the training of large language models (LLMs). Studies have shown that synthetic data can effectively improve the performance of LLMs on…

Computation and Language · Computer Science 2024-06-19 Jie Chen , Yupeng Zhang , Bingning Wang , Wayne Xin Zhao , Ji-Rong Wen , Weipeng Chen

Traditional code instruction data synthesis methods suffer from limited diversity and poor logic. We introduce Infinite-Instruct, an automated framework for synthesizing high-quality question-answer pairs, designed to enhance the code…

Computation and Language · Computer Science 2025-05-30 Wenjing Xing , Wenke Lu , Yeheng Duan , Bing Zhao , Zhenghui kang , Yaolong Wang , Kai Gao , Lei Qiao

In recent years, large language models (LLMs) have demonstrated significant potential in complex reasoning tasks like mathematical problem-solving. However, existing research predominantly relies on reinforcement learning (RL) frameworks…

Machine Learning · Computer Science 2026-01-12 ShaoZhen Liu , Xinting Huang , Houwen Peng , Xin Chen , Xinyang Song , Qi Li , Zhenan Sun