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Linear Stability Hypothesis and Rank Stratification for Nonlinear Models


Nov 21, 2022
Yaoyu Zhang, Zhongwang Zhang, Leyang Zhang, Zhiwei Bai, Tao Luo, Zhi-Qin John Xu

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Embedding Principle in Depth for the Loss Landscape Analysis of Deep Neural Networks


May 26, 2022
Zhiwei Bai, Tao Luo, Zhi-Qin John Xu, Yaoyu Zhang

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


May 24, 2022
Hanxu Zhou, Qixuan Zhou, Zhenyuan Jin, Tao Luo, Yaoyu Zhang, Zhi-Qin John Xu

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* arXiv admin note: text overlap with arXiv:2007.07497 

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Limitation of characterizing implicit regularization by data-independent functions


Jan 28, 2022
Leyang Zhang, Zhi-Qin John Xu, Tao Luo, Yaoyu Zhang

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Overview frequency principle/spectral bias in deep learning


Jan 19, 2022
Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo

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


Jan 09, 2022
Tianhan Zhang, Yuxiao Yi, Yifan Xu, Zhi X. Chen, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu

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


Jan 07, 2022
Zhiwei Wang, Yaoyu Zhang, Yiguang Ju, Weinan E, Zhi-Qin John Xu, Tianhan Zhang

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Embedding Principle: a hierarchical structure of loss landscape of deep neural networks


Nov 30, 2021
Yaoyu Zhang, Yuqing Li, Zhongwang Zhang, Tao Luo, Zhi-Qin John Xu

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Data-informed Deep Optimization


Jul 17, 2021
Lulu Zhang, Zhi-Qin John Xu, Yaoyu Zhang

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MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs


Jul 08, 2021
Lulu Zhang, Tao Luo, Yaoyu Zhang, Zhi-Qin John Xu, Zheng Ma

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