Learning Theory of Deep Structured Neural Networks

ZHOU, Xiang (Principal Investigator / Project Coordinator)

Department of Data Science

Project: Research

7 RGC 21 - Publication in refereed journal
2 RGC 32 - Refereed conference paper (with host publication)

7 results

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2023
Approximation of smooth functionals using deep ReLU networks
Song, L., Liu, Y., Fan, J. & Zhou, D.-X., Sept 2023, In: Neural Networks. 166, p. 424-436
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
14 Citations (Scopus)
Value-gradient based formulation of optimal control problem and machine learning algorithm
BENSOUSSAN, A., HAN, J., YAM, S. C. P. & ZHOU, X., 2023, In: SIAM Journal on Numerical Analysis. 61, 2, p. 973-994 22 p.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Open Access
File
3 Citations (Scopus)

109 Downloads (CityUHK Scholars)
2022
Active Learning for Saddle Point Calculation
Gu, S., Wang, H. & Zhou, X., Dec 2022, In: Journal of Scientific Computing. 93, 3, 78.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Open Access
File
4 Citations (Scopus)

47 Downloads (CityUHK Scholars)
Moreau Envelope Augmented Lagrangian Method for Nonconvex Optimization with Linear Constraints
Zeng, J., Yin, W. & Zhou, D.-X., May 2022, In: Journal of Scientific Computing. 91, 2, 61.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
18 Citations (Scopus)
2021
On ADMM in deep learning: Convergence and saturation-avoidance
Zeng, J., Lin, S.-B., Yao, Y. & Zhou, D.-X., 2021, In: Journal of Machine Learning Research. 22, 199.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Open Access
File
12 Citations (Scopus)

53 Downloads (CityUHK Scholars)
Robust kernel-based distribution regression
Yu, Z., Ho, D. W. C., Shi, Z. & Zhou, D.-X., Oct 2021, In: Inverse Problems. 37, 10, 105014.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
10 Citations (Scopus)
Theory of deep convolutional neural networks III: Approximating radial functions
Mao, T., Shi, Z. & Zhou, D.-X., Dec 2021, In: Neural Networks. 144, p. 778-790
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
23 Citations (Scopus)

Learning Theory of Deep Structured Neural Networks

Research output

Search results

Approximation of smooth functionals using deep ReLU networks

Value-gradient based formulation of optimal control problem and machine learning algorithm

Active Learning for Saddle Point Calculation

Moreau Envelope Augmented Lagrangian Method for Nonconvex Optimization with Linear Constraints

On ADMM in deep learning: Convergence and saturation-avoidance

Robust kernel-based distribution regression

Theory of deep convolutional neural networks III: Approximating radial functions