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 | 350 | 2020 |
MgNet: A unified framework of multigrid and convolutional neural network J He, J Xu Science china mathematics 62, 1331-1354, 2019 | 141 | 2019 |
Approximation properties of deep ReLU CNNs J He, L Li, J Xu Research in the mathematical sciences 9 (3), 38, 2022 | 25 | 2022 |
ReLU deep neural networks from the hierarchical basis perspective J He, L Li, J Xu Computers & Mathematics with Applications 120, 105-114, 2022 | 23 | 2022 |
An interpretive constrained linear model for ResNet and MgNet J He, J Xu, L Zhang, J Zhu Neural Networks 162, 384-392, 2023 | 14 | 2023 |
Power series expansion neural network Q Chen, W Hao, J He Journal of Computational Science 59, 101552, 2022 | 11 | 2022 |
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 | 10 | 2022 |
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 |
MgNO: Efficient Parameterization of Linear Operators via Multigrid J He, X Liu, J Xu The Twelfth International Conference on Learning Representations (ICLR 2024), 2023 | 7 | 2023 |
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 | 7 | 2023 |
Deep neural networks and finite elements of any order on arbitrary dimensions J He, J Xu arXiv preprint arXiv:2312.14276, 2023 | 5 | 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, ... NAACL 2024, 2023 | 4 | 2023 |
An Enhanced V-cycle MgNet Model for Operator Learning in Numerical Partial Differential Equations J Zhu, J He, Q Huang Computational Geosciences, 2023 | 4 | 2023 |
Deeper or wider: A perspective from optimal generalization error with sobolev loss Y Yang, J He The Forty-first International Conference on Machine Learning (ICML 2024), 2024 | 3 | 2024 |
Expressivity and Approximation Properties of Deep Neural Networks with ReLU Activation J He, T Mao, J Xu arXiv preprint arXiv:2312.16483, 2023 | 3 | 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 |
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 |