I am a Postdoctoral Assistant Professor (Van Loo Postdoc Fellow) in the Department of Mathematics and Postdoctoral Research Fellow in the Department of Statistics working with Prof. Yang Chen at the University of Michigan, Ann Arbor.

Before that, I got my Ph.D. degree in the Department of Mathematical at Hong Kong University of Science and Technology in June, 2023, under the supervision of Prof. Jian-Feng Cai and Prof. Dong Xia. I obtained my Bachelor’s degrees in Mathematics from Zhejiang University in June, 2019.

Preprints

1. Federated PCA and Estimation for Spiked Covariance Matrices: Optimal Rates and Efficient Algorithm [arXiv]
   With T. Tony Cai, Dong Xia, and Anru R. Zhang
2. Online Policy Learning and Inference by Matrix Completion [arXiv]
   With Congyuan Duan, and Dong Xia
3. Online tensor learning: Computational and statistical trade-offs, adaptivity and optimal regret [arXiv]
   With Jian-Feng Cai, Yang Chen, and Dong Xia
4. Computationally efficient and statistically optimal robust low-rank matrix estimation
   With Yinan Shen, Jian-Feng Cai, and Dong Xia

Publications

1. Computationally Efficient and Statistically Optimal Robust High-dimensional Linear Regression
   With Yinan Shen, Jian-Feng Cai, and Dong Xia
   To appear in Annals of Statistics [Journal]
2. Restoration Guarantee of Image Inpainting via Low Rank Patch Matrix Completion
   With Jian-Feng Cai, Jae Kyu Choi, and Guojian Yin
   SIAM Journal on Imaging Sciences 17 (3), 1879-1908 [Journal], [arXiv]
3. Generalized low-rank plus sparse tensor estimation by fast Riemannian optimization
   With Jian-Feng Cai, and Dong Xia
   Journal of the American Statistical Association 118 (544), 2588-2604 [Journal], [arXiv]
4. Provable sample-efficient sparse phase retrieval initialized by truncated power method
   With Jian-Feng Cai, Juntao You
   Inverse Problems 39 (7), 075008 [Journal], [arXiv]
5. Provable tensor-train format tensor completion by riemannian optimization
   With Jian-Feng Cai, and Dong Xia
   Journal of Machine Learning Research 23 (123), 1-77 [Journal]
6. Image restoration: structured low rank matrix framework for piecewise smooth functions and beyond
   With Jian-Feng Cai, Jae Kyu Choi, and Ke Wei
   Applied and Computational Harmonic Analysis 56, 26-60 [Journal], [arXiv]

Contact

Email: jjyyli@umich.edu

Address: 4831 East Hall, 530 Church Street, Ann Arbor, MI 48109-1043