Research

Research Interest

My current research interest includes:

High dimensional statistics: estimation, model selection and inference for static or dynamic high dimensional structures, including sparse PCA/CCA, robust low rank matrix recovery, change point detection in high dimensional regression, etc.
Causal inference: design and analysis of randomized experiments, complex causal mechanisms (such as interference, sorrogacy, delay and so on), novel causal methodology (such as data fusion)
Learning and computing: statistical learning/machine learning, reinforcement learning, deep learning, GenAI
AI policy/ethics: privacy and fairness in statistical related methodology and practice.
Statistical application: marriage between stats and biomedical study, social science, psychology, econ, etc.

Shi, L. and Li, X. (2024) Some theoretical foundations on the design and analysis of randomized experiments. Journal of Causal Inference. Accepted.
Cui, X., Shi, L., Zhong, W. and Zou, C. (2023) Robust high-dimensional low-rank matrix estimation: optimal rate and data-adaptive tuning. Journal of Machine Learning Research.
Shi, L., Wang, J. and Wu, T. (2023) Statistical inference on multi-armed bandits with delayed feedback. ICML 2023.
Shi, L. and Zou, C. (2020) Noisy Low Rank Matrix Completion Under General Bases. Stat.

Shi, L., Wang, J. and Ding, P. (2023+) Forward screening and post-screening inference in factorial designs.
Shi, L., Ding, P. (2022+) Berry–Esseen bounds for design-based causal inference with possibly diverging treatment levels and varying group sizes.
Shi, L., Wang, G. and Zou, C. (2022+) Low-Rank Matrix Estimation in the Presence of Change-Points. [Distinguished Student Paper Award Winner for ENAR 2023]
Shi, L., Yang, H. and Xue, L. (2023+) Oracle Inequalities for Sparse Principal Component Analysis based on the Linear Manifold Approximation.

Barbehenn, A., Shi, L., Shao, J., Hoh, R., Hartig, H.M., Pae, V., Sarvadhavabhatla, S., Donaire, S., Sheikhzadeh, C., Milush, J., Laird, G.M., et al. (2024) Rapid Biphasic Decay of Intact and Defective HIV DNA Reservoir During Acute Treated HIV Disease.
Shi, L., Pang, H., Chen, C., Zhu, J. (2024+) rdborrow: An R package for Causal Inference Incorporating External Controls in Randomized Trials with Longitudinal Outcomes.

Theoretical analysis of multivariate quadratic assignment procedure
Nonparametric lower bounds for Cronbach's alpha in the presence of missingness
Estimation and inference in bipartite experiments
Theory of two-way independent permutation with application to multiple randomization designs

I would like to thank many amazing collaborators: Sulggi Lee, Guanghui Wang, Xiaolong Cui, Wei Zhong