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Safety critical software assessment requires robust assessment against complex regulatory frameworks, a process traditionally limited by manual evaluation. This paper presents Document Retrieval-Augmented Fine-Tuning (DRAFT), a novel…

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

Deep prompt tuning (DPT) has gained great success in most natural language processing~(NLP) tasks. However, it is not well-investigated in dense retrieval where fine-tuning~(FT) still dominates. When deploying multiple retrieval tasks using…

Computation and Language · Computer Science 2022-08-25 Zhengyang Tang , Benyou Wang , Ting Yao

Adversarial Training (AT) is one of the most effective methods to train robust Deep Neural Networks (DNNs). However, AT creates an inherent trade-off between clean accuracy and adversarial robustness, which is commonly attributed to the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Yanyun Wang , Li Liu

Data synthesis for training large reasoning models offers a scalable alternative to limited, human-curated datasets, enabling the creation of high-quality data. However, existing approaches face several challenges: (i) indiscriminate…

Artificial Intelligence · Computer Science 2026-05-11 Yongxian Wei , Yilin Zhao , Zixuan Hu , Li Shen , Xinrui Chen , Runxi Cheng , Sinan Du , Hao Yu , Chun Yuan , Dian Li

The challenges of solving complex university-level mathematics problems, particularly those from MIT, and Columbia University courses, and selected tasks from the MATH dataset, remain a significant obstacle in the field of artificial…

Computation and Language · Computer Science 2025-09-23 Eishkaran Singh , Tanav Singh Bajaj , Siddharth Nayak

Distribution shifts and adversarial examples are two major challenges for deploying machine learning models. While these challenges have been studied individually, their combination is an important topic that remains relatively…

Machine Learning · Computer Science 2024-02-20 Yunjuan Wang , Hussein Hazimeh , Natalia Ponomareva , Alexey Kurakin , Ibrahim Hammoud , Raman Arora

Reasoning in mathematical domains remains a significant challenge for relatively small language models (LMs). Many current methods focus on specializing LMs in mathematical reasoning and rely heavily on knowledge distillation from powerful…

Artificial Intelligence · Computer Science 2023-07-18 Zhenwen Liang , Dian Yu , Xiaoman Pan , Wenlin Yao , Qingkai Zeng , Xiangliang Zhang , Dong Yu

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…

Self-Taught Reasoners (STaR), synonymously known as Rejection sampling Fine-Tuning (RFT), is an integral part of the training pipeline of self-improving reasoning Language Models (LMs). The self-improving mechanism often employs random…

Machine Learning · Computer Science 2025-10-07 Woosung Koh , Wonbeen Oh , Jaein Jang , MinHyung Lee , Hyeongjin Kim , Ah Yeon Kim , Joonkee Kim , Junghyun Lee , Taehyeon Kim , Se-Young Yun

Chain-of-thought reasoning, while powerful, can produce unnecessarily verbose output for simpler problems. We present a framework for difficulty-aware reasoning that teaches models to dynamically adjust reasoning depth based on problem…

Computation and Language · Computer Science 2025-09-08 Abdul Waheed , Chancharik Mitra , Laurie Z. Wang , Deva Ramanan , Bhiksha Raj

Despite recent advances in the reasoning capabilities of Large Language Models (LLMs), improving the reasoning ability of Small Language Models (SLMs, e.g., up to 1.5B parameters) remains challenging. A key obstacle lies in the complexity…

Computation and Language · Computer Science 2025-12-16 Li Wang , Changhao Zhang , Zengqi Xiu , Kai Lu , Xin Yu , Kui Zhang , Wenjun Wu

Large language models (LLMs) have pushed the limits of natural language understanding and exhibited excellent problem-solving ability. Despite the great success, most existing open-source LLMs (e.g., LLaMA-2) are still far away from…

Computation and Language · Computer Science 2024-05-06 Longhui Yu , Weisen Jiang , Han Shi , Jincheng Yu , Zhengying Liu , Yu Zhang , James T. Kwok , Zhenguo Li , Adrian Weller , Weiyang Liu

Large Language Models (LLMs) exhibit substantial capabilities yet encounter challenges, including hallucination, outdated knowledge, and untraceable reasoning processes. Retrieval-augmented generation (RAG) has emerged as a promising…

Artificial Intelligence · Computer Science 2024-06-03 Feiteng Fang , Yuelin Bai , Shiwen Ni , Min Yang , Xiaojun Chen , Ruifeng Xu

The rapid advancement of Large Language Models (LLMs) in the realm of mathematical reasoning necessitates comprehensive evaluations to gauge progress and inspire future directions. Existing assessments predominantly focus on problem-solving…

Computation and Language · Computer Science 2024-06-05 Xiaoyuan Li , Wenjie Wang , Moxin Li , Junrong Guo , Yang Zhang , Fuli Feng

Reinforcement finetuning (RFT) has shown great potential for enhancing the mathematical reasoning capabilities of large language models (LLMs), but it is often sample- and compute-inefficient, requiring extensive training. In this work, we…

Machine Learning · Computer Science 2026-02-03 Taiwei Shi , Yiyang Wu , Linxin Song , Tianyi Zhou , Jieyu Zhao

Existing approaches to mathematical reasoning with large language models (LLMs) rely on Chain-of-Thought (CoT) for generalizability or Tool-Integrated Reasoning (TIR) for precise computation. While efforts have been made to combine these…

Computation and Language · Computer Science 2026-02-13 Xin Xu , Yan Xu , Tianhao Chen , Yuchen Yan , Chengwu Liu , Zaoyu Chen , Yufei Wang , Yichun Yin , Yasheng Wang , Lifeng Shang , Qun Liu , Lu Yin

Mathematical reasoning poses a significant challenge for language models due to its complex and structured nature. In this paper, we introduce DeepSeekMath 7B, which continues pre-training DeepSeek-Coder-Base-v1.5 7B with 120B math-related…

Computation and Language · Computer Science 2024-04-30 Zhihong Shao , Peiyi Wang , Qihao Zhu , Runxin Xu , Junxiao Song , Xiao Bi , Haowei Zhang , Mingchuan Zhang , Y. K. Li , Y. Wu , Daya Guo

Increasing interest in reasoning models has led math to become a prominent testing ground for algorithmic and methodological improvements. However, existing open math datasets either contain a small collection of high-quality, human-written…

The current paradigm of evaluating Large Language Models (LLMs) through static benchmarks comes with significant limitations, such as vulnerability to data contamination and a lack of adaptability to the evolving capabilities of LLMs.…

Computation and Language · Computer Science 2024-06-26 Zhehao Zhang , Jiaao Chen , Diyi Yang