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Zhi-Qin John  Xu
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Year
Frequency principle: Fourier analysis sheds light on deep neural networks
ZQJ Xu*, Y Zhang, T Luo, Y Xiao, Z Ma
Communications in Computational Physics (2020), 2019
4072019
Training behavior of deep neural network in frequency domain
ZQJ Xu*, Y Zhang, Y Xiao
Neural Information Processing: 26th International Conference, ICONIP 2019 …, 2019
2622019
Multi-scale deep neural network (MscaleDNN) for solving Poisson-Boltzmann equation in complex domains
Z Liu, W Cai, ZQJ Xu*
Communications in Computational Physics, 2020
144*2020
Understanding training and generalization in deep learning by fourier analysis
ZJ Xu
arXiv preprint arXiv:1808.04295, 2018
722018
Theory of the frequency principle for general deep neural networks
T Luo, Z Ma, ZQJ Xu, Y Zhang
CSIAM Transactions on Applied Mathematics (Alphabetic order), 2019
672019
Phase diagram for two-layer relu neural networks at infinite-width limit
T Luo#, ZQJ Xu#, Z Ma, Y Zhang*
The Journal of Machine Learning Research 22 (1), 3327-3373, 2021
502021
A type of generalization error induced by initialization in deep neural networks
Y Zhang, ZQJ Xu*, T Luo, Z Ma
Mathematical and Scientific Machine Learning, 144-164, 2020
472020
Causal and structural connectivity of pulse-coupled nonlinear networks
D Zhou, Y Xiao, Y Zhang, Z Xu, D Cai
Physical review letters 111 (5), 054102, 2013
452013
A multi-scale DNN algorithm for nonlinear elliptic equations with multiple scales
XA Li, ZQJ Xu*, L Zhang
Communications in Computational Physics (Alphabetic order), 2020
442020
Granger causality network reconstruction of conductance-based integrate-and-fire neuronal systems
D Zhou, Y Xiao, Y Zhang, Z Xu, D Cai
PloS one 9 (2), e87636, 2014
422014
On the exact computation of linear frequency principle dynamics and its generalization
T Luo, Z Ma, ZQJ Xu, Y Zhang
arXiv preprint arXiv:2010.08153 (SIAM Journal on Mathematics of Data Science …, 2020
34*2020
Overview frequency principle/spectral bias in deep learning
ZQJ Xu*, Y Zhang, T Luo
arXiv preprint arXiv:2201.07395, 2022
322022
A multi-scale sampling method for accurate and robust deep neural network to predict combustion chemical kinetics
T Zhang*, Y Yi, Y Xu, ZX Chen, Y Zhang, W E, ZQJ Xu*
arXiv preprint arXiv:2201.03549 (Combustion and Flame), 2022
292022
Embedding Principle of Loss Landscape of Deep Neural Networks
Y Zhang*, Z Zhang, T Luo, ZQJ Xu*
NeurIPS (spotlight) 2021, 2021
262021
MOD-Net: A machine learning approach via model-operator-data network for solving PDEs
L Zhang, T Luo, Y Zhang, ZQJ Xu*, Z Ma*
arXiv preprint arXiv:2107.03673 (Communications in Computational Physics), 2021
252021
Deep frequency principle towards understanding why deeper learning is faster
ZQJ Xu, H Zhou
2021 Proceedings of the AAAI Conference on Artificial Intelligence, 2020
252020
Embedding Principle: a hierarchical structure of loss landscape of deep neural networks
Y Zhang*, Y Li, Z Zhang, T Luo, ZQJ Xu*
arXiv preprint arXiv:2111.15527 (Journal of Machine Learning), 2021
232021
A linear frequency principle model to understand the absence of overfitting in neural networks
Y Zhang, T Luo, Z Ma, ZQJ Xu*
Chinese Physics Letters 38 (3), 038701, 2021
192021
Towards understanding the condensation of neural networks at initial training
H Zhou, Q Zhou, T Luo, Y Zhang*, ZQ Xu*
Advances in Neural Information Processing Systems 35, 2184-2196, 2022
172022
Empirical Phase Diagram for Three-layer Neural Networks with Infinite Width
H Zhou, Q Zhou, Z Jin, T Luo, Y Zhang, ZQJ Xu*
arXiv preprint arXiv:2205.12101 (NeurIPS2022), 2022
162022
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