Jin, Pengzhan
- MIONet: Learning multiple-input operators via tensor product
2022/02/12 by Jin, Pengzhan, Meng, Shuai, Lu, Lu · 31 citations
#Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Physical sciences #Machine Learning (cs.LG)
- Learning Poisson systems and trajectories of autonomous systems via Poisson neural networks
2020/12/05 by Jin, Pengzhan, Zhang, Zhen, Kevrekidis, Ioannis G. +1 · 4 citations
#FOS: Computer and information sciences #Machine Learning (cs.LG)
- Optimal unit triangular factorization of symplectic matrices
2021/07/31 by Pengzhan Jin, Zhangli Lin, Jin, Pengzhan +3 · 3 citations
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Matrix Theory and Algorithms #Symplectic Geometry (math.SG)
- On Numerical Integration in Neural Ordinary Differential Equations
2022/06/15 by Zhu, Aiqing, Jin, Pengzhan, Zhu, Beibei +1 · 3 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples
2024/02/11 by Hu, Jun, Jin, Pengzhan · 5 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Learning solution operators of PDEs defined on varying domains via MIONet
2024/02/23 by Shanshan Xiao, Xiao, Shanshan, Pengzhan Jin +3 · 3 citations
Computer Science · Engineering · #Advanced Control Systems Optimization #FOS: Computer and information sciences #FOS: Mathematics #Fuzzy Logic and Control Systems #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Tensor Neural Network and Its Numerical Integration
2022/07/06 by Wang, Yifan, Jin, Pengzhan, Xie, Hehu · 2 citations
#65B99 #65L15 #65N25 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
- Unit triangular factorization of the matrix symplectic group
2019/12/23 by Pengzhan Jin, Jin, Pengzhan, Yifa Tang +3 · 2 citations
Computer Science · Mathematics · Engineering · #Matrix Theory and Algorithms #Numerical methods for differential equations #Optical Network Technologies
- A deformation-based framework for learning solution mappings of PDEs defined on varying domains
2024/12/02 by Xiao, Shanshan, Jin, Pengzhan, Tang, Yifa · 2 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)