Hao, Wenrui
- Greedy Training Algorithms for Neural Networks and Applications to PDEs
2021/07/09 by Jonathan W. Siegel, Siegel, Jonathan W., Qingguo Hong +7 · 3 citations
Engineering · Physics and Astronomy · #65H20 #65N22 #65N30 #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
- Automatic Differentiation is Essential in Training Neural Networks for Solving Differential Equations
2024/05/23 by Chuqi Chen, Chen, Chuqi, Yahong Yang +5 · 4 citations
Computer Science · Engineering · Mathematics · #Advanced Data Processing Techniques #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Applications #Numerical Analysis (math.NA) #Statistical and numerical algorithms
- Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis
2022/12/13 by Lu, Min-Jhe, Hao, Wenrui, Hu, Bei +1 · 2 citations
#35B35 #35K57 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Multiscale Neural Networks for Approximating Green's Functions
2024/10/24 by Hao, Wenrui, Li, Rui Peng, Xi, Yuanzhe +2 · 4 citations
#65N55 #65N80 #68T07 #FOS: Mathematics #Numerical Analysis (math.NA)
- Learn Singularly Perturbed Solutions via Homotopy Dynamics
2025/02/01 by Chuqi Chen, Yahong Yang, Chen, Chuqi +5 · 3 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Computer and information sciences #FOS: Mathematics #Fractional Differential Equations Solutions #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Deep Learning via Neural Energy Descent
2023/02/21 by Hao, Wenrui, Wang, Chunmei, Xu, Xingjian +1 · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks
2025/01/20 by Luo, Jiaqi, Yang, Yahong, Yuan, Yuan +2 · 3 citations
#FOS: Computer and information sciences #G.1.8 #Machine Learning (cs.LG) #Machine Learning (stat.ML)
- Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons
2023/06/14 by Hao, Wenrui, Hong, Qingguo, Jin, Xianlin · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- A numerical method for solving elliptic equations on real closed algebraic curves and surfaces
2023/11/16 by Hao, Wenrui, Hauenstein, Jonathan D., Regan, Margaret H. +1 · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- An adaptive homotopy method for computing bifurcations of nonlinear parametric systems
2020/02/09 by Wenrui Hao, Hao, Wenrui, Chunyue Zheng +1 · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical Analysis (math.NA) #Numerical methods for differential equations #Polynomial and algebraic computation
- A Systematic Computational Framework for Practical Identifiability Analysis in Mathematical Models Arising from Biology
2025/01/02 by Wang, Shun, Hao, Wenrui · 1 citation
#FOS: Biological sciences #Quantitative Methods (q-bio.QM)
- On pattern formation in the thermodynamically-consistent variational Gray-Scott model
2024/09/07 by Hao, Wenrui, Liu, Chun, Wang, Yiwei +1 · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- Laplacian Eigenfunction-Based Neural Operator for Learning Nonlinear Reaction-Diffusion Dynamics
2025/02/08 by Jindong Wang, Wang, Jindong, Wenrui Hao +1 · 1 citation
Computer Science · #FOS: Physical sciences #Mathematical Physics (math-ph) #Neural Networks and Applications
- Homotopy Relaxation Training Algorithms for Infinite-Width Two-Layer ReLU Neural Networks
2023/09/26 by Yahong Yang, Yang, Yahong, Qipin Chen +3 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning and ELM #Model Reduction and Neural Networks #Neural Networks and Applications #Optimization and Control (math.OC)