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State-of-the-art language models can match human performance on many tasks, but they still struggle to robustly perform multi-step mathematical reasoning. To diagnose the failures of current models and support research, we introduce GSM8K,…

Large language models (LLMs) have achieved impressive success on many benchmarks for mathematical reasoning. However, there is growing concern that some of this performance actually reflects dataset contamination, where data closely…

Mathematical word problem-solving has long been recognized as a complex task for small language models (SLMs). A recent study hypothesized that the smallest model size, needed to achieve over 80% accuracy on the GSM8K benchmark, is 34…

Computation and Language · Computer Science 2024-02-26 Arindam Mitra , Hamed Khanpour , Corby Rosset , Ahmed Awadallah

Language models (LMs) are powerful tools for natural language processing, but they often struggle to produce coherent and fluent text when they are small. Models with around 125M parameters such as GPT-Neo (small) or GPT-2 (small) can…

Computation and Language · Computer Science 2023-05-26 Ronen Eldan , Yuanzhi Li

Recent advances in language models have demonstrated their capability to solve mathematical reasoning problems, achieving near-perfect accuracy on grade-school level math benchmarks like GSM8K. In this paper, we formally study how language…

Artificial Intelligence · Computer Science 2024-07-31 Tian Ye , Zicheng Xu , Yuanzhi Li , Zeyuan Allen-Zhu

Large language models (LLMs) have achieved impressive performance across various mathematical reasoning benchmarks. However, there are increasing debates regarding whether these models truly understand and apply mathematical knowledge or…

Computation and Language · Computer Science 2024-07-03 Qintong Li , Leyang Cui , Xueliang Zhao , Lingpeng Kong , Wei Bi

We evaluate the reasoning abilities of large language models in multilingual settings. We introduce the Multilingual Grade School Math (MGSM) benchmark, by manually translating 250 grade-school math problems from the GSM8K dataset (Cobbe et…

Few-shot learning is a challenging task that requires language models to generalize from limited examples. Large language models like GPT-3 and PaLM have made impressive progress in this area, but they still face difficulties in reasoning…

Computation and Language · Computer Science 2023-05-25 Yifei Li , Zeqi Lin , Shizhuo Zhang , Qiang Fu , Bei Chen , Jian-Guang Lou , Weizhu Chen

Mathematical capabilities were previously believed to emerge in common language models only at a very large scale or require extensive math-related pre-training. This paper shows that the LLaMA-2 7B model with common pre-training already…

Computation and Language · Computer Science 2024-03-08 Chen Li , Weiqi Wang , Jingcheng Hu , Yixuan Wei , Nanning Zheng , Han Hu , Zheng Zhang , Houwen Peng

In recent years, multimodal large language models (MLLMs) such as GPT-4V have demonstrated remarkable advancements, excelling in a variety of vision-language tasks. Despite their prowess, the closed-source nature and computational demands…

Computer Vision and Pattern Recognition · Computer Science 2024-06-24 Zhengqing Yuan , Zhaoxu Li , Weiran Huang , Yanfang Ye , Lichao Sun

Mathematical reasoning in Large Language Models (LLMs) is often evaluated using benchmarks with limited numerical ranges, failing to reflect real-world problem-solving across diverse scales. Furthermore, most existing evaluation methods…

Machine Learning · Computer Science 2025-02-14 Safal Shrestha , Minwu Kim , Keith Ross

The use of Large Language Models (LLMs) in mathematical reasoning has become a cornerstone of related research, demonstrating the intelligence of these models and enabling potential practical applications through their advanced performance,…

Computation and Language · Computer Science 2024-12-20 Kathrin Seßler , Yao Rong , Emek Gözlüklü , Enkelejda Kasneci

Large language models (LLMs) have exhibited great potential in mathematical reasoning. However, there remains a performance gap in this area between existing open-source models and closed-source models such as GPT-4. In this paper, we…

Computation and Language · Computer Science 2024-09-12 Zimu Lu , Aojun Zhou , Houxing Ren , Ke Wang , Weikang Shi , Junting Pan , Mingjie Zhan , Hongsheng Li

We present the Chinese Elementary School Math Word Problems (CMATH) dataset, comprising 1.7k elementary school-level math word problems with detailed annotations, source from actual Chinese workbooks and exams. This dataset aims to provide…

Computation and Language · Computer Science 2023-06-30 Tianwen Wei , Jian Luan , Wei Liu , Shuang Dong , Bin Wang

Children can acquire language from less than 100 million words of input. Large language models are far less data-efficient: they typically require 3 or 4 orders of magnitude more data and still do not perform as well as humans on many…

Recent advancements in Large Language Models (LLMs) have sparked interest in their formal reasoning capabilities, particularly in mathematics. The GSM8K benchmark is widely used to assess the mathematical reasoning of models on…

Machine Learning · Computer Science 2025-08-28 Iman Mirzadeh , Keivan Alizadeh , Hooman Shahrokhi , Oncel Tuzel , Samy Bengio , Mehrdad Farajtabar

Providing effective feedback is important for student learning in programming problem-solving. In this sense, Large Language Models (LLMs) have emerged as potential tools to automate feedback generation. However, their reliability and…

Software Engineering · Computer Science 2025-03-20 Priscylla Silva , Evandro Costa

This paper presents reports on a series of experiments with a novel dataset evaluating how well Large Language Models (LLMs) can mark (i.e. grade) open text responses to short answer questions, Specifically, we explore how well different…

Computation and Language · Computer Science 2024-05-07 Owen Henkel , Adam Boxer , Libby Hills , Bill Roberts

When scaled to hundreds of billions of parameters, pretrained language models such as GPT-3 (Brown et al., 2020) achieve remarkable few-shot performance. However, enormous amounts of compute are required for training and applying such big…

Computation and Language · Computer Science 2021-04-13 Timo Schick , Hinrich Schütze

In this work, we introduce a novel evaluation paradigm for Large Language Models (LLMs) that compels them to transition from a traditional question-answering role, akin to a student, to a solution-scoring role, akin to a teacher. This…

Computation and Language · Computer Science 2024-06-06 Zhongshen Zeng , Pengguang Chen , Shu Liu , Haiyun Jiang , Jiaya Jia
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