- Approximation and Generalization of Deep Neural Networks, PI
                                                                          General Program of National Natural Science Foundation of China, 2026.01-2029.12.
- High-dimensional Approximations in Learning Theory, PI
                                                                          General Program of National Natural Science Foundation of China, 2022.01-2025.12.
- Mathematical Theory of Deep Neural Networks with Applications, PI
                                                                          Shanghai Key Basic Research Project, 2021.10-2024.09.
- Approximation Analysis of Deep Learning and Related Topics, Co-I
                                                                         National Natural Science Foundation of China / Research Grants Council of Hong Kong Joint Research Scheme, 2021.01-2024.12. 
                                                                         PIs: Prof. Zongmin Wu and Prof. Ding-Xuan Zhou
- Approximation Analysis of Stochastic Gradient Descent Algorithms, PI
                                                                          Shanghai Science and Technology Innovation Action Plan, 2020.10-2023.09.
                         
				
- Sparse Representation and Complex Relation Inference for High-dimensional and Heterogeneous Data, Co-I
                                                                         Key Program of National Natural Science Foundation of China, 2017.01-2021.12.
                                                                         PI: Prof. Daoqing Dai
- Harmonic Analysis and Related Topics, Co-I
                                                                   Shanghai Outstanding Academic Leadership Development Program, 2018.05-2021.04. 
                                                                   PI: Prof. Hongquan Li
-  Learning Theory of Distributed Algorithms, Functional Data Analysis and 1-bit Compressed Sensing with Applications, PI
                                                                          General Program of National Natural Science Foundation of China, 2016.01-2019.12.
-  Approximation Analysis of Information Theoretic Learning and Ranking Type Learning Problems, Co-I
                                                                         National Natural Science Foundation of China / Research Grants Council of Hong Kong Joint Research Scheme, 2015.01-2018.12.
                                                                         PIs: Prof. Zongmin Wu and Prof. Ding-Xuan Zhou
-  Approximation and Sparsity Analysis of Kernel-based Regularization Learning Schemes, PI
                                                                          Youth Program of National Natural Science Foundation of China, 2012.01-2015.12.