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The tool-use Large Language Models (LLMs) that integrate with external Python interpreters have significantly enhanced mathematical reasoning capabilities for open-source LLMs, while tool-free methods chose another track: augmenting math…

Computation and Language · Computer Science 2024-05-14 Shuo Yin , Weihao You , Zhilong Ji , Guoqiang Zhong , Jinfeng Bai

Existing research predominantly focuses on developing powerful language learning models (LLMs) for mathematical reasoning within monolingual languages, with few explorations in preserving efficacy in a multilingual context. To bridge this…

Computation and Language · Computer Science 2024-10-17 Nuo Chen , Zinan Zheng , Ning Wu , Ming Gong , Dongmei Zhang , Jia Li

Large language models (LLMs) have made impressive progress in handling simple math problems, yet they still struggle with more challenging and complex mathematical tasks. In this paper, we introduce a series of LLMs that employs the…

Computation and Language · Computer Science 2024-07-18 Chengpeng Li , Guanting Dong , Mingfeng Xue , Ru Peng , Xiang Wang , Dayiheng Liu

Inequality proving, crucial across diverse scientific and mathematical fields, tests advanced reasoning skills such as discovering tight bounds and strategic theorem application. This makes it a distinct, demanding frontier for large…

Artificial Intelligence · Computer Science 2025-12-16 Pan Lu , Jiayi Sheng , Luna Lyu , Jikai Jin , Tony Xia , Alex Gu , James Zou

Information about pretraining corpora used to train the current best-performing language models is seldom discussed: commercial models rarely detail their data, and even open models are often released without accompanying training data or…

To advance the mathematical proficiency of large language models (LLMs), the DeepMath team has launched an open-source initiative aimed at developing an open mathematical LLM and systematically evaluating its mathematical creativity. This…

The reasoning capabilities of Large Language Models (LLMs) play a critical role in many downstream tasks, yet depend strongly on the quality of training data. Despite various proposed data construction methods, their practical utility in…

Computation and Language · Computer Science 2025-10-09 Yike Zhao , Simin Guo , Ziqing Yang , Shifan Han , Dahua Lin , Fei Tan

Mathematical problem-solving is a key field in artificial intelligence (AI) and a critical benchmark for evaluating the capabilities of large language models (LLMs). While extensive research has focused on mathematical problem-solving, most…

Computation and Language · Computer Science 2025-01-03 Ziye Chen , Hao Qi

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

The advent of large reasoning models, such as OpenAI o1 and DeepSeek R1, has significantly advanced complex reasoning tasks. However, their capabilities in multilingual complex reasoning remain underexplored, with existing efforts largely…

Computation and Language · Computer Science 2025-05-27 Wenyang Luo , Wayne Xin Zhao , Jing Sha , Shijin Wang , Ji-Rong Wen

We introduce MAmmoTH, a series of open-source large language models (LLMs) specifically tailored for general math problem-solving. The MAmmoTH models are trained on MathInstruct, our meticulously curated instruction tuning dataset.…

Computation and Language · Computer Science 2023-10-04 Xiang Yue , Xingwei Qu , Ge Zhang , Yao Fu , Wenhao Huang , Huan Sun , Yu Su , Wenhu Chen

Mathematical reasoning continues to be a critical challenge in large language model (LLM) development with significant interest. However, most of the cutting-edge progress in mathematical reasoning with LLMs has become \emph{closed-source}…

Computation and Language · Computer Science 2024-10-08 Shubham Toshniwal , Wei Du , Ivan Moshkov , Branislav Kisacanin , Alexan Ayrapetyan , Igor Gitman

The increasing adoption of artificial intelligence in telecommunications has raised interest in the capability of Large Language Models (LLMs) to address domain-specific, mathematically intensive tasks. Although recent advancements have…

Artificial Intelligence · Computer Science 2025-06-13 Vincenzo Colle , Mohamed Sana , Nicola Piovesan , Antonio De Domenico , Fadhel Ayed , Merouane Debbah

To thoroughly assess the mathematical reasoning abilities of Large Language Models (LLMs), we need to carefully curate evaluation datasets covering diverse mathematical concepts and mathematical problems at different difficulty levels. In…

Computation and Language · Computer Science 2024-09-09 Yan Liu , Renren Jin , Ling Shi , Zheng Yao , Deyi Xiong

Large language models (LLMs) have demonstrated remarkable capabilities in problem-solving. However, their proficiency in solving mathematical problems remains inadequate. We propose MathScale, a simple and scalable method to create…

Computation and Language · Computer Science 2024-03-06 Zhengyang Tang , Xingxing Zhang , Benyou Wang , Furu Wei

Open-source multimodal large language models (MLLMs) have shown significant potential in a broad range of multimodal tasks. However, their reasoning capabilities remain constrained by existing instruction-tuning datasets, which were…

Computation and Language · Computer Science 2025-06-05 Jarvis Guo , Tuney Zheng , Yuelin Bai , Bo Li , Yubo Wang , King Zhu , Yizhi Li , Graham Neubig , Wenhu Chen , Xiang Yue

The performance of a large language model (LLM) depends heavily on the quality and size of its pretraining dataset. However, the pretraining datasets for state-of-the-art open LLMs like Llama 3 and Mixtral are not publicly available and…

Computation and Language · Computer Science 2024-11-01 Guilherme Penedo , Hynek Kydlíček , Loubna Ben allal , Anton Lozhkov , Margaret Mitchell , Colin Raffel , Leandro Von Werra , Thomas Wolf

Large language models (LLMs) have obtained promising results in mathematical reasoning, which is a foundational skill for human intelligence. Most previous studies focus on improving and measuring the performance of LLMs based on textual…

Computation and Language · Computer Science 2024-11-04 Wentao Liu , Qianjun Pan , Yi Zhang , Zhuo Liu , Ji Wu , Jie Zhou , Aimin Zhou , Qin Chen , Bo Jiang , Liang He

The evaluation of mathematical reasoning capabilities is essential for advancing Artificial General Intelligence (AGI). While Large Language Models (LLMs) have shown impressive performance in solving mathematical problems, existing…

Computation and Language · Computer Science 2025-01-15 Bo Yang , Qingping Yang , Yingwei Ma , Runtao Liu

Mathematics is a highly specialized domain with its own unique set of challenges. Despite this, there has been relatively little research on natural language processing for mathematical texts, and there are few mathematical language…

Computation and Language · Computer Science 2024-06-18 Jacob Collard , Valeria de Paiva , Eswaran Subrahmanian