Publications and Preprints

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]