High Dimensional Inference

Large Scale Hypothesis Testing
Matrix Completion
Statistical Inference with High Dimensional Data

Research Team

Cai, Tianxi

John Rock Professor of Population and Data Science, Professor of Biostatistics
Harvard T.H. Chan School of Public Health
Professor of Biomedical Informatics
Harvard Medical School

Cai, Tony

Daniel H. Silberberg Professor
Professor of Statistics
The Wharton School of Business
University of Pennsylvania

Neykov, Matey

Assistant Professor of Statistics
Carnegie Mellon University

Lu, Junwei

Assistant Professor of Biostatistics
Harvard School of Public Health

Xia, Yin

Professor of Statistics
Fudan University

Selected Publications

T Cai, M Liu, Y Xia. “Individual Data Protected Integrative Regression Analysis of High-dimensional Heterogeneous Data”. arXiv 2019;1904.12891.
T Cai, T Cai, Z Guo. “Individualized Treatment Selection: An Optimal Hypothesis Testing Approach In High-dimensional Models”. arXiv 2019;1904.12891.
T Cai, TT Cai, K Liao, W Liu. “Large-Scale Simultaneous Testing of Cross-Covariance Matrices with Applications to PheWAS”. Statistica Sinica 2019;983–1005.
Y Xia, T Cai, TT Cai. “Two-Sample Tests for High-Dimensional Linear Regression with an Application to Detecting Interactions”. Statistica Sinica 2018;28:63–92.
Y Xia, T Cai, TT Cai. “Multiple Testing of Submatrices of a Precision Matrix With Applications to Identification of Between Pathway Interactions”. Journal of the American Statistical Association 2017;113(521):328–339.
M Neykov, JS Liu, T Cai. “L1-Regularized Least Squares for Support Recovery of High Dimensional Single Index Models with Gaussian Designs”. Journal of Machine Learning Research 2016;17(87):1-37.
Y Xia, T Cai, TT Cai. “Testing differential networks with applications to the detection of gene-gene interactions”. Biometrika 2015;102(2):247–266.
T Cai, TT Cai, A Zhang. “Structured Matrix Completion with Applications to Genomic Data Integration”. Journal of the American Statistical Association 2016;111(514):621–633.