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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

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Machine Learning and Computational Mathematics

Journal Article

Machine Learning and Computational Mathematics

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

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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

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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

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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

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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

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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

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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

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