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ReLU Network Approximation in Terms of Intrinsic Parameters


Nov 15, 2021
Zuowei Shen, Haizhao Yang, Shijun Zhang


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Deep Network Approximation: Achieving Arbitrary Accuracy with Fixed Number of Neurons


Jul 07, 2021
Zuowei Shen, Haizhao Yang, Shijun Zhang


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Deep Network Approximation With Accuracy Independent of Number of Neurons


Jul 06, 2021
Zuowei Shen, Haizhao Yang, Shijun Zhang


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Optimal Approximation Rate of ReLU Networks in terms of Width and Depth


Feb 28, 2021
Zuowei Shen, Haizhao Yang, Shijun Zhang


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Neural Network Approximation: Three Hidden Layers Are Enough


Oct 25, 2020
Zuowei Shen, Haizhao Yang, Shijun Zhang

* arXiv admin note: substantial text overlap with arXiv:2006.12231 

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Deep Network Approximation with Discrepancy Being Reciprocal of Width to Power of Depth


Jun 22, 2020
Zuowei Shen, Haizhao Yang, Shijun Zhang


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Optimization in Machine Learning: A Distribution Space Approach


Apr 18, 2020
Yongqiang Cai, Qianxiao Li, Zuowei Shen

* 26 pages, 12 figures 

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Deep Network Approximation for Smooth Functions


Jan 09, 2020
Jianfeng Lu, Zuowei Shen, Haizhao Yang, Shijun Zhang


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Deep Learning via Dynamical Systems: An Approximation Perspective


Dec 22, 2019
Qianxiao Li, Ting Lin, Zuowei Shen


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Deep Network Approximation Characterized by Number of Neurons


Jun 13, 2019
Zuowei Shen, Haizhao Yang, Shijun Zhang


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Nonlinear Approximation via Compositions


Apr 10, 2019
Zuowei Shen, Haizhao Yang, Shijun Zhang


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On the Convergence and Robustness of Batch Normalization


Sep 29, 2018
Yongqiang Cai, Qianxiao Li, Zuowei Shen


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Image Restoration: A General Wavelet Frame Based Model and Its Asymptotic Analysis


Feb 17, 2016
Bin Dong, Zuowei Shen, Peichu Xie


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Adaptive low rank and sparse decomposition of video using compressive sensing


May 31, 2013
Fei Yang, Hong Jiang, Zuowei Shen, Wei Deng, Dimitris Metaxas

* IEEE International Conference on Image Processing, ICIP 2013, Paper #1870 
* Accepted ICIP 2013 

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Surveillance Video Processing Using Compressive Sensing


Feb 08, 2013
Hong Jiang, Wei Deng, Zuowei Shen

* Inverse Problems and Imaging, Volume 6, No. 2, 2012, 201-214 
* 14 pages, 5 figures 

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On B-spline framelets derived from the unitary extension principle


Jan 12, 2012
Zuowei Shen, Zhiqiang Xu

* 28 pages 

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