Relu deep neural networks and linear finite elements J He, L Li, J Xu, C Zheng
Journal of Computational Mathematics 38 (3), 502--527, 2020
324 2020 MgNet: A unified framework of multigrid and convolutional neural network J He, J Xu
Science china mathematics 62, 1331-1354, 2019
129 2019 Approximation properties of deep ReLU CNNs J He, L Li, J Xu
Research in the mathematical sciences 9 (3), 38, 2022
22 2022 ReLU deep neural networks from the hierarchical basis perspective J He, L Li, J Xu
Computers & Mathematics with Applications 120, 105-114, 2022
18 2022 An interpretive constrained linear model for ResNet and MgNet J He, J Xu, L Zhang, J Zhu
Neural Networks 162, 384-392, 2023
15 2023 Make regularization effective in training sparse CNN J He, X Jia, J Xu, L Zhang, L Zhao
Computational Optimization and Applications 77 (1), 163-182, 2020
10 * 2020 Generalized Gaffney inequality and discrete compactness for discrete differential forms J He, K Hu, J Xu
Numerische Mathematik 143 (4), 781-795, 2019
9 2019 Side effects of learning from low-dimensional data embedded in a euclidean space J He, R Tsai, R Ward
Research in the Mathematical Sciences 10 (1), 13, 2023
8 2023 A weight initialization based on the linear product structure for neural networks Q Chen, W Hao, J He
Applied Mathematics and Computation 415, 126722, 2022
8 2022 Power series expansion neural network Q Chen, W Hao, J He
Journal of Computational Science 59, 101552, 2022
7 2022 On the optimal expressive power of relu dnns and its application in approximation with kolmogorov superposition theorem J He
arXiv preprint arXiv:2308.05509, 2023
5 2023 Deep neural networks and finite elements of any order on arbitrary dimensions J He, J Xu
arXiv preprint arXiv:2312.14276, 2023
3 2023 An Enhanced V-cycle MgNet Model for Operator Learning in Numerical Partial Differential Equations J Zhu, J He, Q Huang
Computational Geosciences, 2023
3 2023 MgNO: Efficient Parameterization of Linear Operators via Multigrid J He, X Liu, J Xu
arXiv preprint arXiv:2310.19809, 2023
2 2023 Expressivity and Approximation Properties of Deep Neural Networks with ReLU Activation J He, T Mao, J Xu
arXiv preprint arXiv:2312.16483, 2023
1 2023 Linear regression on manifold structured data: the impact of extrinsic geometry on solutions L Liu, J He, YH Tsai
Topological, Algebraic and Geometric Learning Workshops 2023, 557-576, 2023
1 2023 AceGPT, Localizing Large Language Models in Arabic H Huang, F Yu, J Zhu, X Sun, H Cheng, D Song, Z Chen, A Alharthi, B An, ...
arXiv preprint arXiv:2309.12053, 2023
1 2023 FV-MgNet: Fully connected V-cycle MgNet for interpretable time series forecasting J Zhu, J He, L Zhang, J Xu
Journal of Computational Science 69, 102005, 2023
1 2023 Constrained Linear Data-feature Mapping for Image Classification J He, Y Chen, L Zhang, J Xu
arXiv preprint arXiv:1911.10428, 2019
1 2019 Data-induced multiscale losses and efficient multirate gradient descent schemes J He, L Liu, R Tsai
arXiv preprint arXiv:2402.03021, 2024
2024