Close Search Advanced
Journals
Resources
About Us
Open Access

All Journals

Site Breadcrumb

Weinan E

Results

MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

Journal Article

MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

Communications in Computational Physics, Vol. 32 (2022), Iss. 2 : pp. 299–335

Info
Machine Learning and Computational Mathematics

Journal Article

Machine Learning and Computational Mathematics

Communications in Computational Physics, Vol. 28 (2020), Iss. 5 : pp. 1639–1670

Info
An $L^2$ Analysis of Reinforcement Learning in High Dimensions with Kernel and Neural Network Approximation

Journal Article

An $L^2$ Analysis of Reinforcement Learning in High Dimensions with Kernel and Neural Network Approximation

CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 2 : pp. 191–220

Info
On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

Journal Article

On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 3 : pp. 387–440

Info
Towards a Mathematical Understanding of Neural Network-Based Machine Learning: What We Know and What We Don't

Journal Article

Towards a Mathematical Understanding of Neural Network-Based Machine Learning: What We Know and What We Don't

CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 4 : pp. 561–615

Info
The Random Feature Method for Time-Dependent Problems

Journal Article

The Random Feature Method for Time-Dependent Problems

East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 3 : pp. 435–463

Read Now
DeePN$^2$: A Deep Learning-Based Non-Newtonian Hydrodynamic Model

Journal Article

DeePN$^2$: A Deep Learning-Based Non-Newtonian Hydrodynamic Model

Journal of Machine Learning, Vol. 1 (2022), Iss. 1 : pp. 114–140

Read Now
Bridging Traditional and Machine Learning-Based Algorithms for Solving PDEs: The Random Feature Method

Journal Article

Bridging Traditional and Machine Learning-Based Algorithms for Solving PDEs: The Random Feature Method

Journal of Machine Learning, Vol. 1 (2022), Iss. 3 : pp. 268–298

Read Now