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Formalising informal mathematical reasoning into formally verifiable code is a significant challenge for large language models. In scientific fields such as physics, domain-specific machinery (\textit{e.g.} Dirac notation, vector calculus)…

人工智能 · 计算机科学 2026-04-28 Jordan Meadows , Lan Zhang , Andre Freitas

Large language models (LLMs) have demonstrated remarkable capabilities in solving complex reasoning tasks, particularly in mathematics. However, the domain of physics reasoning presents unique challenges that have received significantly…

计算与语言 · 计算机科学 2025-06-04 Xin Xu , Qiyun Xu , Tong Xiao , Tianhao Chen , Yuchen Yan , Jiaxin Zhang , Shizhe Diao , Can Yang , Yang Wang

Explaining observed phenomena through symbolic, interpretable formulas is a fundamental goal of science. Recently, large language models (LLMs) have emerged as promising tools for symbolic equation discovery, owing to their broad domain…

人工智能 · 计算机科学 2026-02-26 Jianke Yang , Ohm Venkatachalam , Mohammad Kianezhad , Sharvaree Vadgama , Rose Yu

Computing students increasingly rely on generative AI tools for programming assistance, often without formal instruction or guidance. This highlights a need to teach students how to effectively interact with AI models, particularly through…

计算机与社会 · 计算机科学 2025-09-15 Victor-Alexandru Pădurean , Paul Denny , Alkis Gotovos , Adish Singla

The surge in scientific publications challenges traditional review methods, demanding tools that integrate structured metadata with full-text analysis. Hybrid Retrieval Augmented Generation (RAG) systems, combining graph queries with vector…

Large language models (LLMs) make remarkable progress in reasoning tasks. Among different reasoning modes, inductive reasoning, due to its better alignment with human learning, attracts increasing interest. However, research on inductive…

计算与语言 · 计算机科学 2025-10-17 Kedi Chen , Zhikai Lei , Xu Guo , Xuecheng Wu , Siyuan Zeng , Jianghao Yin , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Qipeng Guo , Kai Chen , Wei Zhang

Despite recent advances in generative models driving significant progress in text rendering, accurately generating complex text and mathematical formulas remains a formidable challenge. This difficulty primarily stems from the limited…

计算机视觉与模式识别 · 计算机科学 2026-03-13 Zexuan Yan , Jiarui Jin , Yue Ma , Shijian Wang , Jiahui Hu , Wenxiang Jiao , Yuan Lu , Linfeng Zhang

Recent studies have adopted pre-trained language models, such as CodeT5 and CodeGPT, for automated program generation tasks like code generation, repair, and translation. Numerous language model-based approaches have been proposed and…

软件工程 · 计算机科学 2024-01-09 Yue Liu , Chakkrit Tantithamthavorn , Yonghui Liu , Li Li

We approach the 3-SAT satisfiability problem with the quantum-inspired method of imaginary time propagation (ITP) applied to matrix product states (MPS) on a classical computer. This ansatz is fundamentally limited by a quantum entanglement…

量子物理 · 物理学 2026-03-09 Tim Pokart , Frank Pollmann , Jan Carl Budich

Large Language Model (LLM) agents have demonstrated remarkable capabilities in organizing and executing complex tasks, and many such agents are now widely used in various application scenarios. However, developing these agents requires…

人工智能 · 计算机科学 2025-10-01 Chenglin Yu , Yang Yu , Songmiao Wang , Yucheng Wang , Yifan Yang , Jinjia Li , Ming Li , Hongxia Yang

As large language models (LLMs) advance their mathematical capabilities toward the IMO level, the scarcity of challenging, high-quality problems for training and evaluation has become a significant bottleneck. Simultaneously, recent code…

计算与语言 · 计算机科学 2026-03-05 Dadi Guo , Yuejin Xie , Qingyu Liu , Jiayu Liu , Zhiyuan Fan , Qihan Ren , Shuai Shao , Tianyi Zhou , Dongrui Liu , Yi R. Fung

As Vision-Language Models (VLMs) grow in sophistication, their ability to perform reasoning is coming under increasing supervision. While they excel at many tasks, their grasp of fundamental scientific principles, such as physics, remains…

Recently, deep learning models have made great progress in MWP solving on answer accuracy. However, they are uninterpretable since they mainly rely on shallow heuristics to achieve high performance without understanding and reasoning the…

人工智能 · 计算机科学 2022-10-25 Zhicheng Yang , Jinghui Qin , Jiaqi Chen , Liang Lin , Xiaodan Liang

The evolution of Large Language Models (LLMs) from static instruction-followers to autonomous agents necessitates operating within complex, stateful environments to achieve precise state-transition objectives. However, this paradigm is…

Generating code from natural-language requirements has become a primary route for LLM-assisted software development. Although LLMs can successfully complete small programming tasks, generating an entire complex project remains unreliable…

软件工程 · 计算机科学 2026-05-26 Jian Fang , Yingfei Xiong

Large language models can generate scientific simulation code, but the generated code silently fails on most non-textbook problems. We show that classical mathematical validation -- well-posedness, convergence, and error certification --…

软件工程 · 计算机科学 2026-03-30 Chengshuai Yang

Mathematical reasoning, a core ability of human intelligence, presents unique challenges for machines in abstract thinking and logical reasoning. Recent large pre-trained language models such as GPT-3 have achieved remarkable progress on…

机器学习 · 计算机科学 2023-03-03 Pan Lu , Liang Qiu , Kai-Wei Chang , Ying Nian Wu , Song-Chun Zhu , Tanmay Rajpurohit , Peter Clark , Ashwin Kalyan

Humans can develop new theorems to explore broader and more complex mathematical results. While current generative language models (LMs) have achieved significant improvement in automatically proving theorems, their ability to generate new…

计算与语言 · 计算机科学 2024-05-14 Xiaohan Lin , Qingxing Cao , Yinya Huang , Zhicheng Yang , Zhengying Liu , Zhenguo Li , Xiaodan Liang

Transformer-based large language models are rapidly advancing in the field of machine learning research, with applications spanning natural language, biology, chemistry, and computer programming. Extreme scaling and reinforcement learning…

化学物理 · 物理学 2023-04-12 Daniil A. Boiko , Robert MacKnight , Gabe Gomes

The evaluation of large language models (LLMs) has predominantly relied on static datasets, which offer limited scalability and fail to capture the evolving reasoning capabilities of recent models. To overcome these limitations, we propose…

计算与语言 · 计算机科学 2026-03-02 Seungdong Yoa , Sanghyu Yoon , Suhee Yoon , Dongmin Kim , Ye Seul Sim , Junhyun Lee , Woohyung Lim