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Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks

Journal Article

Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks

Communications in Computational Physics, Vol. 32 (2022), Iss. 3 : pp. 715–736

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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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Achieving Adversarial Robustness Requires an Active Teacher

Journal Article

Achieving Adversarial Robustness Requires an Active Teacher

Journal of Computational Mathematics, Vol. 39 (2021), Iss. 6 : pp. 880–896

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Achieving Adversarial Robustness Requires an Active Teacher

Journal Article

Achieving Adversarial Robustness Requires an Active Teacher

Journal of Computational Mathematics, Vol. 39 (2021), Iss. 6 : pp. 880–896

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Why Self-Attention Is Natural for Sequence-to-Sequence Problems? A Perspective from Symmetries

Journal Article

Why Self-Attention Is Natural for Sequence-to-Sequence Problems? A Perspective from Symmetries

Journal of Machine Learning, Vol. 2 (2023), Iss. 3 : pp. 194–210

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Beyond the Quadratic Approximation: The Multiscale Structure of Neural Network Loss Landscapes

Journal Article

Beyond the Quadratic Approximation: The Multiscale Structure of Neural Network Loss Landscapes

Journal of Machine Learning, Vol. 1 (2022), Iss. 3 : pp. 247–267

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