Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks. - Zhi-Qin John Xu; Yaoyu Zhang; Tao Luo 012; Yanyang Xiao; Zheng Ma 009 (CoRR, 2019)

Explicitizing an Implicit Bias of the Frequency Principle in Two-layer Neural Networks. - Yaoyu Zhang; Zhi-Qin John Xu; Tao Luo 012; Zheng Ma 009 (CoRR, 2019)

Theory of the Frequency Principle for General Deep Neural Networks. - Tao Luo 012; Zheng Ma 009; Zhi-Qin John Xu; Yaoyu Zhang (CoRR, 2019)

A type of generalization error induced by initialization in deep neural networks. - Yaoyu Zhang; Zhi-Qin John Xu; Tao Luo 012; Zheng Ma 009 (MSML, 2020)

Fourier-domain Variational Formulation and Its Well-posedness for Supervised Learning. - Tao Luo 012; Zheng Ma 009; Zhiwei Wang; Zhi-Qin John Xu; Yaoyu Zhang (CoRR, 2020)

Linear Frequency Principle Model to Understand the Absence of Overfitting in Neural Networks. - Yaoyu Zhang; Tao Luo 012; Zheng Ma 009; Zhi-Qin John Xu (CoRR, 2021)

An Upper Limit of Decaying Rate with Respect to Frequency in Deep Neural Network. - Tao Luo 012; Zheng Ma 009; Zhiwei Wang; Zhi-Qin John Xu; Yaoyu Zhang (CoRR, 2021)

MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs. - Lulu Zhang; Tao Luo 012; Yaoyu Zhang; Zhi-Qin John Xu; Zheng Ma 009 (CoRR, 2021)

Phase Diagram for Two-layer ReLU Neural Networks at Infinite-width Limit. - Tao Luo 012; Zhi-Qin John Xu; Zheng Ma 009; Yaoyu Zhang (J. Mach. Learn. Res., 2021)

On the Exact Computation of Linear Frequency Principle Dynamics and Its Generalization. - Tao Luo 012; Zheng Ma 009; Zhi-Qin John Xu; Yaoyu Zhang (SIAM J. Math. Data Sci., 2022)