List of Publications:

1. Chakrabortty A, Lu J, Cai T.T and Li H (2021+), High Dimensional M-estimation with Missing Outcomes: A semi-parametric framework, under revision

2. Sohn M B, *Lu J and Li H (2022): Compositional mediation model for binary outcome: application to microbiome study. Bioinformatics.

3. Lu J and Li H(2022): Hypothesis Testing in High-Dimensional Instrumental Variables Regression with an Application to Genomics Data. Statistica Sinica,

4. Rhee RL, Lu J, Bittinger K, Sreih AG, Lee JJ, Mattei LM, Miner JJ, Cohen NA, Kelly BJ, Grayson PC, Li H, Collman RG, Merkel PA (2021): Dynamic Changes in the Nasal Microbiome in Patients with Granulomatosis with Polyangiitis. Arthritis & Rheumatology.

5. Lu J, Shi P and Li H(2018), Generalized Linear Models with Linear Constraints for Microbiome Compositional Data, Biometrics.

6. Lu J*, Zhang M*, Jiang D, Kang Y and Qian M(2014), Modeling of Stochastic Phenotype Switching and Bet-hedging in Bacteria, technical report in Key Lab of Mathematics and Applied Mathematics, School of Mathematical Sciences, Peking University. (*co-first authors)

Thesis:

1. Bachelor's Degree Thesis: Deterministic and Stochastic Models for Chemical Reaction Networks and their applications.

2. PhD Thesis: Statistical Inference for High Dimensional Models in Genomics and Microbiome