316 citations · 1.4k across the 15 of their papers we have counts for
15 papers
Instrumental Variables Estimation with Some Invalid Instruments and its Application to Mendelian Randomization
Hyunseung Kang, Anru Zhang, T. Tony Cai +1
Instrumental variables have been widely used for estimating the causal effect between exposure and outcome. Conventional estimation methods require complete knowledge about all the…
Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-rank Matrices
T. Tony Cai, Anru Zhang
This paper considers compressed sensing and affine rank minimization in both noiseless and noisy cases and establishes sharp restricted isometry conditions for sparse signal and lo…
Adaptive confidence intervals for regression functions under shape constraints
T. Tony Cai, Mark G. Low, Yin Xia
Adaptive confidence intervals for regression functions are constructed under shape constraints of monotonicity and convexity. A natural benchmark is established for the minimum exp…
Compressed Sensing and Affine Rank Minimization under Restricted Isometry
T. Tony Cai, Anru Zhang
This paper establishes new restricted isometry conditions for compressed sensing and affine rank minimization. It is shown for compressed sensing that guara…
A reproducing kernel Hilbert space approach to functional linear regression
Ming Yuan, T. Tony Cai
We study in this paper a smoothness regularization method for functional linear regression and provide a unified treatment for both the prediction and estimation problems. By devel…
Sparse PCA: Optimal rates and adaptive estimation
T. Tony Cai, Zongming Ma, Yihong Wu
Principal component analysis (PCA) is one of the most commonly used statistical procedures with a wide range of applications. This paper considers both minimax and adaptive estimat…