Yang, Haizhao
- Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces
2022/01/01 by Liu, Hao, Yang, Haizhao, Chen, Minshuo +2 · 8 citations
#FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
- Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory
2020/06/28 by Tao Luo, Haizhao Yang, Luo, Tao +1 · 6 citations
Computer Science · Engineering · Physics and Astronomy · #Advanced Numerical Analysis Techniques #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- Error bounds for deep ReLU networks using the Kolmogorov--Arnold superposition theorem
2019/06/27 by Montanelli, Hadrien, Yang, Haizhao · 4 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Deep Operator Learning Lessens the Curse of Dimensionality for PDEs
2023/01/28 by Ke Chen, Chunmei Wang, Chen, Ke +3 · 6 citations
Mathematics · Physics and Astronomy · Computer Science · #Numerical methods in inverse problems #Model Reduction and Neural Networks #Advanced Mathematical Modeling in Engineering
- Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning
2020/12/15 by Chen, Fan, Huang, Jianguo, Wang, Chunmei +1 · 3 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation
2021/03/21 by Du, Qiang, Gu, Yiqi, Yang, Haizhao +1 · 3 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- 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)
- Solving PDEs on Unknown Manifolds with Machine Learning
2021/06/12 by Liang, Senwei, Jiang, Shixiao W., Harlim, John +1 · 3 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- What is the Solution for State-Adversarial Multi-Agent Reinforcement Learning?
2022/12/06 by Han, Songyang, Su, Sanbao, He, Sihong +4 · 3 citations
#Artificial Intelligence (cs.AI) #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #Multiagent Systems (cs.MA)
- 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)
- Simultaneous Neural Network Approximation for Smooth Functions
2021/09/01 by Sean Hon, Hon, Sean, Haizhao Yang +1 · 2 citations
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering
- Stationary Density Estimation of Itô Diffusions Using Deep Learning
2021/09/09 by Gu, Yiqi, Harlim, John, Liang, Senwei +1 · 2 citations
#Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Reproducing Activation Function for Deep Learning
2021/01/13 by Senwei Liang, Liyao Lyu, Liang, Senwei +5 · 4 citations
Computer Science · Physics and Astronomy · #Advanced Neural Network Applications #Model Reduction and Neural Networks #Image and Signal Denoising Methods
- OptimAI: Optimization from Natural Language Using LLM-Powered AI Agents
2025/04/23 by Raghav Thind, Thind, Raghav, Sun, Youran +4 · 8 citations
Computer Science · #Artificial Intelligence (cs.AI) #Computation and Language (cs.CL) #Constraint Satisfaction and Optimization #FOS: Computer and information sciences #Multimodal Machine Learning Applications #Topic Modeling
- Interpolative Decomposition Butterfly Factorization
2018/09/27 by Pang, Qiyuan, Ho, Kenneth L., Yang, Haizhao · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Model
2024/04/23 by Zezheng Song, Song, Zezheng, Jiaxin Yuan +3 · 3 citations
Decision Sciences · Engineering · #Advanced Data Processing Techniques #Artificial Intelligence (cs.AI) #Computational Engineering #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Finance #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Simulation Techniques and Applications #and Science (cs.CE)
- Instance Enhancement Batch Normalization: an Adaptive Regulator of Batch Noise
2019/08/12 by Liang, Senwei, Huang, Zhongzhan, Liang, Mingfu +1 · 1 citation
#Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
- Convergence Analysis of the Deep Galerkin Method for Weak Solutions
2023/02/05 by Jiao, Yuling, Lai, Yanming, Wang, Yang +2 · 2 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Rapid Application of the Spherical Harmonic Transform via Interpolative Decomposition Butterfly Factorization
2020/04/23 by Bremer, James, Chen, Ze, Yang, Haizhao · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- A Finite Expression Method for Solving High-Dimensional Committor Problems
2023/06/21 by Song, Zezheng, Cameron, Maria K., Yang, Haizhao · 2 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Symbolic Computation (cs.SC)
- A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions
2021/05/18 by Hu, Jingwei, Huang, Xiaodong, Shen, Jie +1 · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- Reinforced Inverse Scattering
2022/06/08 by Hanyang Jiang, Yuehaw Khoo, Jiang, Hanyang +3 · 1 citation
Engineering · Physics and Astronomy · #49MXX #65N21 #68Txx #Advanced Optical Sensing Technologies #FOS: Computer and information sciences #FOS: Electrical engineering #Machine Learning (cs.LG) #Microwave Imaging and Scattering Analysis #Random lasers and scattering media #Signal Processing (eess.SP) #electronic engineering #information engineering
- 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)
- IAE-Net: Integral Autoencoders for Discretization-Invariant Learning
2022/03/10 by Ong, Yong Zheng, Shen, Zuowei, Yang, Haizhao · 1 citation
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- PINS: Proximal Iterations with Sparse Newton and Sinkhorn for Optimal Transport
2025/02/06 by D.J. Wu, Ling Liang, Wu, Di +3 · 2 citations
Computer Science · Environmental Science · Physics and Astronomy · #Matrix Theory and Algorithms #Groundwater flow and contamination studies #Model Reduction and Neural Networks
- On Fast Simulation of Dynamical System with Neural Vector Enhanced Numerical Solver
2022/08/07 by Huang, Zhongzhan, Liang, Senwei, Zhang, Hong +2 · 1 citation
#Artificial Intelligence (cs.AI) #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #and Science (cs.CE)
- Approximating Korobov Functions via Quantum Circuits
2024/04/22 by Aftab, Junaid, Yang, Haizhao · 1 citation
#FOS: Physical sciences #Quantum Physics (quant-ph)
- Finite Expression Method for Solving High-Dimensional Partial Differential Equations
2022/06/21 by Liang, Senwei, Yang, Haizhao · 1 citation
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method
2024/10/01 by Gareth Hardwick, Senwei Liang, Hardwick, Gareth +3 · 2 citations
Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Parsing the Language of Expression: Enhancing Symbolic Regression with Domain-Aware Symbolic Priors
2025/03/12 by Huang, Sikai, Wen, Yixin Berry, Adusumilli, Tara +2 · 1 citation
#FOS: Computer and information sciences #Machine Learning (cs.LG) #Symbolic Computation (cs.SC)