Large language models (LLMs) such as ChatGPT have received immense interest for their general-purpose language understanding and, in particular, their ability to generate high-quality text or computer code. For many professions, LLMs represent an invaluable tool that can speed up and improve the quality of work. In this note, we discuss to what extent they can aid professional mathematicians. We first provide a mathematical description of the transformer model used in all modern language models. Based on recent studies, we then outline best practices and potential issues and report on the mathematical abilities of language models. Finally, we shed light on the potential of LLMs to change how mathematicians work.
Exploiting ChatGPT for Diagnosing Autism-Associated Language Disorders and Identifying Distinct Features
University at Albany（奥尔巴尼大学）；West Virginia University（西弗吉尼亚大学）；Washington University in St. Louis（圣路易斯华盛顿大学）；Camas High School（卡马斯高中）；California Institute of Technology（加州理工学院）
Luddy School of Informatics, Computing & Engineering（卢迪信息学、计算与工程学院）；Center for Complex Networks & Systems（复杂网络与系统中心）；Indiana University Network Science Institute（印第安纳大学网络科学研究所）
ChatGPT is fun, but it is not funny! Humor is still challenging Large Language Models
Institute for Software Technology, German Aerospace Center (DLR)（德国航空航天中心（DLR）软件技术研究所）；Technical University Darmstadt（达姆施塔特工业大学）；Centre for Cognitive Science, TU Darmstadt（达姆施塔特工业大学认知科学中心）；Hessian Center for AI (hessian.AI)（黑森人工智能中心（hessian.AI））
The potential of large language models for improving probability learning: A study on ChatGPT3.5 and first-year computer engineering students
Rey Juan Carlos University（胡安·卡洛斯国王大学）；European Commission, Joint Research Centre（欧盟委员会联合研究中心）；CETINIA: Research Centre for Intelligent Information Technologies（CETINIA智能信息技术研究中心）
ChatGPT is a Knowledgeable but Inexperienced Solver: An Investigation of Commonsense Problem in Large Language Models
University of Chinese Academy of Sciences（中国科学院大学）；Chinese Information Processing Laboratory（中文信息处理实验室）；Ricoh Software Research Center (Beijing) Co., Ltd.（理光软件研究中心（北京）有限公司）
ChatGPT and a New Academic Reality: Artificial Intelligence-Written Research Papers and the Ethics of the Large Language Models in Scholarly Publishing
University of North Texas（北德克萨斯大学）；Emporia State University（恩波利亚州立大学）；Zhejiang Tongji Vocational College of Science and Technology（浙江同济科技职业学院）；Babasaheb Bhimrao Ambedkar University（巴巴萨海布·比姆拉奥·安贝德卡尔大学）；Baker University（贝克大学）
Unlocking the Potential of ChatGPT: A Comprehensive Exploration of its Applications, Advantages, Limitations, and Future Directions in Natural Language Processing
ChatGPT Rates Natural Language Explanation Quality Like Humans: But on Which Scales?
Luddy School of Informatics, Computing, and Engineering, Indiana University Bloomington（印第安纳大学伯明顿分校勒迪信息、计算与工程学院）；School of AI Convergence, Soongsil University（崇实大学人工智能融合学院）；Soongsil University（崇实大学）
Ethical ChatGPT: Concerns, Challenges, and Commandments
Data Science Institute, University of Technology Sydney（悉尼科技大学数据科学学院）；Medical University Graz（格拉茨医科大学）；University of Natural Resources and Life Sciences Vienna（维也纳自然资源与生命科学大学）
Counting the Bugs in ChatGPT's Wugs: A Multilingual Investigation into the Morphological Capabilities of a Large Language Model
Carnegie Mellon University（卡内基梅隆大学）；LMU Munich（慕尼黑大学）；University of Oxford（牛津大学）；Munich Center for Machine Learning（慕尼黑机器学习中心）；Allen Institute for AI（艾伦人工智能研究所）；IIT Delhi（德里印度理工学院）
ChatGPT as Data Augmentation for Compositional Generalization: A Case Study in Open Intent Detection
Ingenuity Labs Research Institute（创新实验室研究所）；Queen’s University（女王大学）；Smith School of Business（史密斯商学院）；Department of Electrical and Computer Engineering（电气与计算机工程系）
University of California, Los Angeles（加州大学洛杉矶分校）；Nanyang Technological University（南洋理工大学）；University of California, Davis（加州大学戴维斯分校）；National University of Singapore（新加坡国立大学）；Hong Kong University of Science and Technology (Guangzhou)（香港科技大学（广州））
