Zhi-Qin John Xu

发表

Fourier-domain Variational Formulation and Its Well-posedness for Supervised Learning pdf

Tao Luo, Yaoyu Zhang, Zheng Ma, 2020, ArXiv.

Theory of the Frequency Principle for General Deep Neural Networks pdf

Zheng Ma, Yaoyu Zhang, Zhi-Qin John Xu, 2019, CSIAM Transactions on Applied Mathematics.

A type of generalization error induced by initialization in deep neural networks pdf

Zheng Ma, Yaoyu Zhang, Zhi-Qin John Xu, 2019, MSML.

Phase diagram for two-layer ReLU neural networks at infinite-width limit pdf

Yaoyu Zhang, Zhi-Qin John Xu, Tao Luo, 2020, J. Mach. Learn. Res..

Deep frequency principle towards understanding why deeper learning is faster pdf

Zhi-Qin John Xu, Hanxu Zhou, Hanxu Zhou, 2020, AAAI.

Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains pdf

Ziqi Liu, Wei Cai, Zhi-Qin John Xu, 2020, Communications in Computational Physics.

Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs pdf

Jiwei Zhang, Yaoyu Zhang, Zhi-Qin John Xu, 2020, ArXiv.

A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

Lei Zhang, Xi-An Li, Zhi-Qin John Xu, 2020, Communications in Computational Physics.

A priori generalization error for two-layer ReLU neural network through minimum norm solution pdf

Jiwei Zhang, Yaoyu Zhang, Zhi-Qin John Xu, 2019, ArXiv.

A regularized deep matrix factorized model of matrix completion for image restoration pdf

Tao Luo, Hongxia Wang, Zhemin Li, 2020, IET Image Process..

Explicitizing an Implicit Bias of the Frequency Principle in Two-layer Neural Networks pdf

Zheng Ma, Yaoyu Zhang, Zhi-Qin John Xu, 2019, ArXiv.

Multi-scale Deep Neural Networks for Solving High Dimensional PDEs pdf

Zhi-Qin John Xu, Wei Cai, Wei Cai, 2019, ArXiv.

Linear Frequency Principle Model to Understand the Absence of Overfitting in Neural Networks pdf

Yaoyu Zhang, Zhi-Qin John Xu, Tao Luo, 2021, Chinese Physics Letters.

Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

Zhi-Qin John Xu, Ziqi Liu, Wei Cai, 2020, ArXiv.

Granger Causality Network Reconstruction of Conductance-Based Integrate-and-Fire Neuronal Systems

Zhi-Qin John Xu, Douglas Zhou, Yaoyu Zhang, 2014, PloS one.

Phase diagram for two-layer ReLU neural networks at infinite-width limit pdf

Yaoyu Zhang, Zhi-Qin John Xu, Tao Luo, 2020, ArXiv.

A DNN-based algorithm for multi-scale elliptic problems

Zhi-Qin John Xu, Xi-An Li, Lei Zhang, 2020 .

Empirical Phase Diagram for Three-layer Neural Networks with Infinite Width

Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, 2022, ArXiv.

Empirical Phase Diagram for Three-layer Neural Networks with Infinite Width

Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, 2022, NeurIPS.

A multi-scale sampling method for accurate and robust deep neural network to predict combustion chemical kinetics

Zhi-Qin John Xu, E. Weinan, Yaoyu Zhang, 2022, Combustion and Flame.

A dynamical state underlying the second order maximum entropy principle in neuronal networks

Zhi-Qin John Xu, G. Bi, Douglas Zhou, 2017 .

Maximum Entropy Principle Analysis in Network Systems with Short-time Recordings

Zhi-Qin John Xu, David Cai, Jennifer Crodelle, 2018, Physical review. E.

Dynamical and Coupling Structure of Pulse-Coupled Networks in Maximum Entropy Analysis

Zhi-Qin John Xu, David Cai, Douglas Zhou, 2018, Entropy.

Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks pdf

Zheng Ma, Tao Luo, Zhi-Qin John Xu, 2019, Communications in Computational Physics.

Understanding training and generalization in deep learning by Fourier analysis pdf

Zhi-Qin John Xu, Zhiqin John Xu, 2018, ArXiv.

Training behavior of deep neural network in frequency domain pdf

Zhi-Qin John Xu, Yaoyu Zhang, Yanyang Xiao, 2018, ICONIP.

Neural networks of different species, brain areas and states can be characterized by the probability polling state

Chengyu Li, David Cai, Douglas Zhou, 2020, The European journal of neuroscience.

Causal and structural connectivity of pulse-coupled nonlinear networks.

David Cai, Douglas Zhou, Zhi-Qin John Xu, 2013, Physical review letters.

A deep learning-based model reduction (DeePMR) method for simplifying chemical kinetics

Zhi-Qin John Xu, E. Weinan, Y. Ju, 2022, ArXiv.

Understanding the Initial Condensation of Convolutional Neural Networks

Zhi-Qin John Xu, Hanxu Zhou, Yuqing Li, 2023, ArXiv.

A Linear Frequency Principle Model to Understand the Absence of Overfitting in Neural Networks

Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, 2021, Chinese Physics Letters.

Solving a class of multi-scale elliptic PDEs by means of Fourier-based mixed physics informed neural networks

Zhi-Qin John Xu, Jinran Wu, You-Gan Wang, 2023, ArXiv.

Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion

Zhi-Qin John Xu, Xiongbin Yan, Zheng Ma, 2023, ArXiv.

A variance principle explains why dropout finds flatter minima pdf

Zhi-Qin John Xu, Zhongwang Zhang, Hanxu Zhou, 2021, ArXiv.

Frequency Principle in Deep Learning Beyond Gradient-descent-based Training pdf

Jiwei Zhang, Yuheng Ma, Zhi-Qin John Xu, 2021, ArXiv.

Force-in-domain GAN inversion pdf

Zhi-Qin John Xu, Zhi-Qin John Xu, Guangjie Leng, 2021, ArXiv.

A cautionary tale of entropic criteria in assessing the validity of the maximum entropy principle

Fang Xu, Zhi-Qin John Xu, David Cai, 2019, EPL (Europhysics Letters).

Solving a class of multi-scale elliptic PDEs by means of Fourier-based mixed physics informed neural networks

Zhi-Qin John Xu, Jinran Wu, You-Gan Wang, 2023, ArXiv.

Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs

Zhi-Qin John Xu, Yaoyu Zhang, Jihong Wang, 2020, ArXiv.

A priori generalization error for two-layer ReLU neural network through minimum norm solution

Zhi-Qin John Xu, Yaoyu Zhang, Jiwei Zhang, 2019, ArXiv.