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Recent studies show that in supervised fine-tuning (SFT) of large language models (LLMs), data quality matters more than quantity. While most data cleaning methods concentrate on filtering entire samples, the quality of individual tokens…

Computation and Language · Computer Science 2026-03-12 Jinlong Pang , Na Di , Zhaowei Zhu , Jiaheng Wei , Hao Cheng , Chen Qian , Yang Liu

The wide use of machine learning is fundamentally changing the software development paradigm (a.k.a. Software 2.0) where data becomes a first-class citizen, on par with code. As machine learning is used in sensitive applications, it becomes…

Databases · Computer Science 2019-04-25 Ki Hyun Tae , Yuji Roh , Young Hun Oh , Hyunsu Kim , Steven Euijong Whang

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

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 have achieved substantial progress in mathematical reasoning, yet their advancement is limited by the scarcity of high-quality, high-difficulty training data. Existing synthesis methods largely rely on transforming…

Computation and Language · Computer Science 2026-03-10 Shaoxiong Zhan , Yanlin Lai , Ziyu Lu , Dahua Lin , Ziqing Yang , Fei Tan

Recent large language models (LLMs) have shown indications of mathematical reasoning ability on challenging competition-level problems, especially with self-generated verbalizations of intermediate reasoning steps (i.e., chain-of-thought…

Computation and Language · Computer Science 2024-06-11 Yujun Mao , Yoon Kim , Yilun Zhou

The utility of synthetic data to enhance pretraining data quality and hence to improve downstream task accuracy has been widely explored in recent large language models (LLMs). Yet, these approaches fall inadequate in complex, multi-hop and…

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 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

Training models on synthetic data has emerged as an increasingly important strategy for improving the performance of generative AI. This approach is particularly helpful for large multimodal models (LMMs) due to the relative scarcity of…

Artificial Intelligence · Computer Science 2026-01-13 Gabriela Ben Melech Stan , Estelle Aflalo , Avinash Madasu , Vasudev Lal , Phillip Howard

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

Training data plays a crucial role in Large Language Models (LLM) scaling, yet high quality data is of limited supply. Synthetic data techniques offer a potential path toward sidestepping these limitations. We conduct a large-scale…

Despite the successes of language models, their evaluation remains a daunting challenge for new and existing tasks. We consider the task of text simplification, commonly used to improve information accessibility, where evaluation faces two…

Computation and Language · Computer Science 2025-04-17 Joseph Liu , Yoonsoo Nam , Xinyue Cui , Swabha Swayamdipta

The success of Large Language Models (LLMs) is inherently linked to the availability of vast, diverse, and high-quality data for training and evaluation. However, the growth rate of high-quality data is significantly outpaced by the…

Computation and Language · Computer Science 2024-10-18 Ke Wang , Jiahui Zhu , Minjie Ren , Zeming Liu , Shiwei Li , Zongye Zhang , Chenkai Zhang , Xiaoyu Wu , Qiqi Zhan , Qingjie Liu , Yunhong Wang

Large Language Models (LLMs) have demonstrated exceptional capabilities in various natural language tasks, often achieving performances that surpass those of humans. Despite these advancements, the domain of mathematics presents a…

Computation and Language · Computer Science 2024-04-02 Ankit Satpute , Noah Giessing , Andre Greiner-Petter , Moritz Schubotz , Olaf Teschke , Akiko Aizawa , Bela Gipp

Large language models (LLMs) have significantly advanced natural language understanding and demonstrated strong problem-solving abilities. Despite these successes, most LLMs still struggle with solving mathematical problems due to the…

Computation and Language · Computer Science 2024-06-27 Meng Fang , Xiangpeng Wan , Fei Lu , Fei Xing , Kai Zou

Large Language Models (LLMs) have shown remarkable success on a wide range of math and reasoning benchmarks. However, we observe that they often struggle when faced with unreasonable math problems. Instead of recognizing these issues,…

Computation and Language · Computer Science 2025-06-03 Jingyuan Ma , Damai Dai , Zihang Yuan , Rui li , Weilin Luo , Bin Wang , Qun Liu , Lei Sha , Zhifang Sui

We are currently in an era of fierce competition among various large language models (LLMs) continuously pushing the boundaries of benchmark performance. However, genuinely assessing the capabilities of these LLMs has become a challenging…

Computation and Language · Computer Science 2024-06-04 Wenhong Zhu , Hongkun Hao , Zhiwei He , Yunze Song , Yumeng Zhang , Hanxu Hu , Yiran Wei , Rui Wang , Hongyuan Lu

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…

The current evaluation of mathematical skills in LLMs is limited, as existing benchmarks are either relatively small, primarily focus on elementary and high-school problems, or lack diversity in topics. Additionally, the inclusion of visual…

Computation and Language · Computer Science 2026-02-03 Konstantin Chernyshev , Vitaliy Polshkov , Ekaterina Artemova , Alex Myasnikov , Vlad Stepanov , Alexei Miasnikov , Sergei Tilga