Yang, Yahong
- Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives
2023/05/15 by Yang, Yahong, Yang, Haizhao, Xiang, Yang · 5 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Nearly Optimal Approximation Rates for Deep Super ReLU Networks on Sobolev Spaces
2023/10/16 by Yang, Yahong, Wu, Yue, Yang, Haizhao +1 · 4 citations
#FOS: Mathematics #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
- Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss
2024/01/31 by Yahong Yang, Juncai He, Yang, Yahong +1 · 3 citations
Decision Sciences · Engineering · #Fatigue and fracture mechanics #Probabilistic and Robust Engineering Design #cs.LG #cs.NA #math.NA #stat.ML
- 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, Chen, Chuqi, Yahong Yang +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)
- Convergence from Atomistic Model to Peierls-Nabarro Model for Dislocations in Bilayer System with Complex Lattice
2021/03/17 by Yahong Yang, Yang, Yahong, T. Luo +3 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #35Q70 #35Q74 #74A50 #74G10 #Analysis of PDEs (math.AP) #Block Copolymer Self-Assembly #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Theoretical and Computational Physics
- 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)
- Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms
2023/11/08 by Yang, Yahong, Lu, Yulong · 1 citation
#41A25 #41A46 #65D07 #68Q25 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA)
- Stochastic Continuum Models for High--Entropy Alloys with Short-range Order
2022/05/15 by Yahong Yang, Yang, Yahong, Luchan Zhang +3 · 1 citation
Engineering · #Advanced Materials Characterization Techniques #FOS: Physical sciences #High Entropy Alloys Studies #High-Temperature Coating Behaviors #Materials Science (cond-mat.mtrl-sci)
- 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)
- DeepONet for Solving Nonlinear Partial Differential Equations with Physics-Informed Training
2024/10/06 by Yang, Yahong · 1 citation
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Homotopy Relaxation Training Algorithms for Infinite-Width Two-Layer ReLU Neural Networks
2023/09/26 by Yahong Yang, Qipin Chen, Yang, Yahong +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)