Outer automorphism groups and the Atiyah Conjecture
外自同构群与Atiyah猜想
AI总结 研究紧致曲面基本群、有限生成自由群或更一般的有限生成右角Artin群的外自同构群的von Neumann维数,通过建立有限指数无挠子群的强Atiyah猜想,并证明其群环嵌入除环。
Comments 28 pages, comments welcome
作者
Machine Learning
外自同构群与Atiyah猜想
AI总结 研究紧致曲面基本群、有限生成自由群或更一般的有限生成右角Artin群的外自同构群的von Neumann维数,通过建立有限指数无挠子群的强Atiyah猜想,并证明其群环嵌入除环。
Comments 28 pages, comments welcome
高维双曲群的改进代数纤维化
AI总结 对于每个 d≥3,通过右角Coxeter群的有限指数子群构造无穷多个上同调维数为d的双曲群G,它们具有有限表现核的代数纤维化,并利用L^2-Betti数给出核的更高有限性障碍。
Comments 16 pages, 2 figures. Comments welcome!
某些带挠的一关系群中的拟凸面子群
AI总结 本文在特定带挠的一关系群中构造了面子群,并利用这一结果推导了自由群中一个词为原始词的一个profinite准则。
Comments v2: 7 pages, revised following referee comments
AnIML本体:实现互联科学实验室大规模实验数据的语义互操作性
机构 * School of Computer Science & Informatics, University of Liverpool(利物浦大学计算机科学与信息学院) ; Unilever Plc. Materials Innovation Factory, University of Liverpool(联合利华公司材料创新工厂,利物浦大学)
AI总结 本文提出AnIML本体,通过专家在环方法结合LLM需求提取与协同本体工程,实现AnIML与Allotrope数据格式的语义对齐,解决异构实验数据系统的互操作性问题。
Comments Accepted at the 38th International Conference on Advanced Information Systems Engineering (CAiSE 2026)
IDEA2: 专家在环的协作本体工程能力问题 elicitation
机构 * School of Computer Science and Informatics, University of Liverpool(利物浦大学计算机科学与信息学院) ; College of Computer Science and Engineering, Taibah University(塔伊巴大学计算机科学与工程学院) ; Unilever Plc., Materials Innovation Factory, University of Liverpool(联合利华公司,利物浦大学材料创新工厂)
AI总结 IDEA2通过整合大语言模型和专家反馈,解决本体工程中能力问题提取的瓶颈,提升问题相关性和可接受性。
Comments 24 pages
时空金字塔流匹配用于气候模拟
机构 * Stanford University(斯坦福大学) ; Cornell University(康奈尔大学) ; University of California, San Diego(加州大学圣地亚哥分校)
AI总结 本文提出时空金字塔流匹配方法,用于高效、准确的多时间尺度气候模拟,并通过ClimateSuite数据集验证其有效性。
Comments 37 pages, 18 figures, Accepted in NeurIPS 2025
机构 * Stanford University(斯坦福大学)
Journal ref Proceedings of the IEEE/CVF International Conference on Computer Vision (ICCV) Workshops, October 2025, pages 4413-4421
Comments FN, KZL, and NM are project co-leads and contributed equally. Project website: https://uq.stanford.edu
机构 * Department of Computer Science, University of Liverpool(利物浦大学计算机科学系) ; Unilever Plc. Materials Innovation Factory(联合利华材料创新工厂) ; University of Liverpool(利物浦大学)
Comments 18 Pages, 8 Tables, Under-review at ISWC 2025
Comments Accepted at MIDL 2024
Comments 11 pages, 5 figures, submitted to Journal of Machine Learning Research
Comments Tackling Climate Change with Machine Learning at NeurIPS 2023
Comments To be published in Proceedings of the 3rd Machine Learning for Health symposium, Proceedings of Machine Learning Research (PMLR)
Comments NeurIPS 2023 Datasets and Benchmarks Track
Comments 13 pages, 12 figures
Comments Supplementary information: https://drive.google.com/file/d/1Y17YxXo5rhIbUuZzwLo99pmttbh28v9X/view?usp=sharing
Comments Workshop on Complex Data Challenges in Earth Observation at IJCAI-ECAI 2022
Comments In Neural Information Processing Systems (NeurIPS) Workshop on Data-Centric AI (DCAI)
Comments 11 pages, 3 figures, paper revision with new set of experiments and comparison to previous methods