Publications and Preprints

Publications

1. Local Interaction Autoregressive Model for High Dimension Time Series Data
   Jingyang Li and Yang Chen.
   Statistica Sinica, 2026, Accepted [arXiv].

2. Online tensor learning: Computational and statistical trade-offs, adaptivity and optimal regret
   Jingyang Li, Jian-Feng Cai, Yang Chen, and Dong Xia.
   The Annals of Statistics, 54(3), 1153-1177, 2026.

3. Online policy learning and inference by matrix completion
   Congyuan Duan, Jingyang Li, and Dong Xia.
   Journal of the American Statistical Association, 121(553), 598-611, 2026.

4. Computationally efficient and statistically optimal robust high-dimensional linear regression
   Yinan Shen, Jingyang Li, Jian-Feng Cai, and Dong Xia.
   The Annals of Statistics, 53(1), 374-399, 2025.

5. Restoration guarantee of image inpainting via low rank patch matrix completion
   Jian-Feng Cai, Jae Kyu Choi, Jingyang Li, and Guojian Yin.
   SIAM Journal on Imaging Sciences, 17(3), 1879-1908, 2024.

6. Generalized low-rank plus sparse tensor estimation by fast Riemannian optimization
   Jian-Feng Cai, Jingyang Li, and Dong Xia.
   Journal of the American Statistical Association, 118(544), 2588-2604, 2023.

7. Provable sample-efficient sparse phase retrieval initialized by truncated power method
   Jian-Feng Cai, Jingyang Li, and Juntao You.
   Inverse Problems, 39(7), 075008, 2023.

8. Image restoration: Structured low rank matrix framework for piecewise smooth functions and beyond
   Jian-Feng Cai, Jae Kyu Choi, Jingyang Li, and Ke Wei.
   Applied and Computational Harmonic Analysis, 56, 26-60, 2022.

9. Provable tensor-train format tensor completion by riemannian optimization
   Jian-Feng Cai, Jingyang Li, and Dong Xia.
   Journal of Machine Learning Research, 23(123), 1-77, 2022.

Preprints

1. Online Riemannian Gradient Descent for Quantum State Tomography with Matrix Product Operators
   Jian-Feng Cai, Jingyang Li, Xiaoqun Zhang, and Yuanwei Zhang.
   arXiv preprint arXiv:2605.04533, 2026 [arXiv].

2. Uncertainty Quantification for Noisy Low-tubal-rank Tensor Completion
   Jiuqian Shang, Jingyang Li, and Yang Chen.
   arXiv preprint arXiv:2604.10353, 2026 [arXiv].

3. HeteroJIVE: Joint Subspace Estimation for Heterogeneous Multi-View Data
   Jingyang Li and Zhongyuan Lyu.
   arXiv preprint arXiv:2512.02866, 2025 [arXiv].

4. Fourier Low-rank and Sparse Tensor for Efficient Tensor Completion
   Jingyang Li, Jiuqian Shang, and Yang Chen.
   arXiv preprint arXiv:2505.11261, 2025 [arXiv].

5. Federated PCA and Estimation for Spiked Covariance Matrices: Optimal Rates and Efficient Algorithm
   Jingyang Li, T. Tony Cai, Dong Xia, and Anru R. Zhang.
   arXiv preprint arXiv:2411.15660, 2024 [arXiv].

6. Computationally efficient and statistically optimal robust low-rank matrix and tensor estimation
   Yinan Shen, Jingyang Li, Jian-Feng Cai, and Dong Xia.
   arXiv preprint arXiv:2203.00953, 2022 [arXiv].