2605.25413
2026-06-08
cs.LG
cs.AI
cs.NA
math.NA
版本更新
Autoregression-Free Neural Operators for Time-Dependent PDEs
无自回归的神经算子用于时间相关偏微分方程
Jiaquan Zhang, Caiyan Qin, Haoyu Bian, Libin Cai, Yi Lu, Chaoning Zhang, Wei Dong, Yuanfang Guo, Yang Yang, Heng Tao Shen
发表机构
*
School of Computer Science and Engineering, University of Electronic Science and Technology of China(电子科技大学计算机科学与工程学院)
;
School of Robotics and Advanced Manufacture, Harbin Institute of Technology(哈尔滨工业大学机器人与先进制造学院)
;
School of Mathematical Sciences, Capital Normal University(首都师范大学数学学院)
;
College of Information and Control Engineering, Xi’an University of Architecture and Technology(西安建筑科技大学信息与控制工程学院)
;
Laboratory of Intelligent Recognition and Image Processing, School of Computer Science and Engineering, Beihang University(北京航空航天大学智能识别与图像处理实验室)
;
School of Computer Science and Technology, Tongji University(同济大学计算机科学与技术学院)
AI总结
提出AFNO,通过将PDE时间演化映射到潜空间并利用流匹配学习连续时间向量场,避免自回归展开,实现长期稳定预测。