T. Tony Cai

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 26

Top Topics

Hypothesis Test

Covariance Matrices

Differential Privacy

Top Venues

J. Multivar. Anal.

IEEE Trans. Inf. Theory

J. Mach. Learn. Res.

Publications

T. Tony Cai, Rong Ma
Matrix Reordering for Noisy Disordered Matrices: Optimality and Computationally Efficient Algorithms. IEEE Trans. Inf. Theory 70 (1) (2024)
T. Tony Cai, Hongming Pu
Transfer Learning for Nonparametric Regression: Non-asymptotic Minimax Analysis and Adaptive Procedure. CoRR (2024)
T. Tony Cai, Abhinav Chakraborty, Lasse Vuursteen
Optimal Federated Learning for Nonparametric Regression with Heterogeneous Distributed Differential Privacy Constraints. CoRR (2024)
T. Tony Cai, Abhinav Chakraborty, Lasse Vuursteen
Federated Nonparametric Hypothesis Testing with Differential Privacy Constraints: Optimal Rates and Adaptive Tests. CoRR (2024)
T. Tony Cai, Dong Xia, Mengyue Zha
Optimal Differentially Private PCA and Estimation for Spiked Covariance Matrices. CoRR (2024)
T. Tony Cai, Yichen Wang, Linjun Zhang
Score Attack: A Lower Bound Technique for Optimal Differentially Private Learning. CoRR (2023)
T. Tony Cai, Rong Ma
Theoretical Foundations of t-SNE for Visualizing High-Dimensional Clustered Data. J. Mach. Learn. Res. 23 (2022)
T. Tony Cai, Anru R. Zhang, Yuchen Zhou
Sparse Group Lasso: Optimal Sample Complexity, Convergence Rate, and Statistical Inference. IEEE Trans. Inf. Theory 68 (9) (2022)
Changxiao Cai, T. Tony Cai, Hongzhe Li
Transfer Learning for Contextual Multi-armed Bandits. CoRR (2022)
T. Tony Cai, Rong Ma
Theoretical Foundations of t-SNE for Visualizing High-Dimensional Clustered Data. CoRR (2021)
T. Tony Cai, Hongzhe Li, Rong Ma
Optimal Structured Principal Subspace Estimation: Metric Entropy and Minimax Rates. J. Mach. Learn. Res. 22 (2021)
T. Tony Cai, Hongji Wei
Distributed Nonparametric Function Estimation: Optimal Rate of Convergence and Cost of Adaptation. CoRR (2021)
T. Tony Cai, Tengyuan Liang, Alexander Rakhlin
Weighted Message Passing and Minimum Energy Flow for Heterogeneous Stochastic Block Models with Side Information. J. Mach. Learn. Res. 21 (2020)
T. Tony Cai, Hongji Wei
Distributed Gaussian Mean Estimation under Communication Constraints: Optimal Rates and Communication-Efficient Algorithms. CoRR (2020)
T. Tony Cai, Yichen Wang, Linjun Zhang
The Cost of Privacy in Generalized Linear Models: Algorithms and Minimax Lower Bounds. CoRR (2020)
T. Tony Cai, Hongji Wei
Transfer Learning for Nonparametric Classification: Minimax Rate and Adaptive Classifier. CoRR (2019)
T. Tony Cai, Anru Zhang, Yuchen Zhou
Sparse Group Lasso: Optimal Sample Complexity, Convergence Rate, and Statistical Inference. CoRR (2019)
T. Tony Cai, Yichen Wang, Linjun Zhang
The Cost of Privacy: Optimal Rates of Convergence for Parameter Estimation with Differential Privacy. CoRR (2019)
T. Tony Cai, Yihong Wu
Statistical and Computational Limits for Sparse Matrix Detection. CoRR (2018)
T. Tony Cai, Tengyuan Liang, Alexander Rakhlin
On Detection and Structural Reconstruction of Small-World Random Networks. IEEE Trans. Netw. Sci. Eng. 4 (3) (2017)
Sihai Dave Zhao, T. Tony Cai, Hongzhe Li
Optimal detection of weak positive latent dependence between two sequences of multiple tests. J. Multivar. Anal. 160 (2017)
T. Tony Cai, Anru Zhang
Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data. J. Multivar. Anal. 150 (2016)
T. Tony Cai, Tengyuan Liang, Alexander Rakhlin
On Detection and Structural Reconstruction of Small-World Random Networks. CoRR (2016)
T. Tony Cai, Anru Zhang
Inference for high-dimensional differential correlation matrices. J. Multivar. Anal. 143 (2016)
T. Tony Cai, Xiaodong Li, Zongming Ma
Optimal Rates of Convergence for Noisy Sparse Phase Retrieval via Thresholded Wirtinger Flow. CoRR (2015)
T. Tony Cai, Tengyuan Liang, Harrison H. Zhou
Law of log determinant of sample covariance matrix and optimal estimation of differential entropy for high-dimensional Gaussian distributions. J. Multivar. Anal. 137 (2015)
T. Tony Cai, Yin Xia
High-dimensional sparse MANOVA. J. Multivar. Anal. 131 (2014)
T. Tony Cai, Ming Yuan
Rate-Optimal Detection of Very Short Signal Segments. CoRR (2014)
T. Tony Cai, Xiaodong Li
Robust and Computationally Feasible Community Detection in the Presence of Arbitrary Outlier Nodes. CoRR (2014)
T. Tony Cai, Anru Zhang
Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices. IEEE Trans. Inf. Theory 60 (1) (2014)
T. Tony Cai, Yihong Wu
Optimal Detection of Sparse Mixtures Against a Given Null Distribution. IEEE Trans. Inf. Theory 60 (4) (2014)
T. Tony Cai, Tengyuan Liang, Harrison H. Zhou
Law of Log Determinant of Sample Covariance Matrix and Optimal Estimation of Differential Entropy for High-Dimensional Gaussian Distributions. CoRR (2013)
T. Tony Cai, Anru Zhang
Sharp RIP Bound for Sparse Signal and Low-Rank Matrix Recovery CoRR (2013)
T. Tony Cai, Anru Zhang
Compressed Sensing and Affine Rank Minimization under Restricted Isometry CoRR (2013)
T. Tony Cai, Anru Zhang
Compressed Sensing and Affine Rank Minimization Under Restricted Isometry. IEEE Trans. Signal Process. 61 (13) (2013)
T. Tony Cai, Wenxin Zhou
Matrix completion via max-norm constrained optimization CoRR (2013)
T. Tony Cai, Zongming Ma, Yihong Wu
Recent results on sparse principle component analysis. CAMSAP (2013)
T. Tony Cai, Jianqing Fan, Tiefeng Jiang
Distributions of angles in random packing on spheres. J. Mach. Learn. Res. 14 (1) (2013)
T. Tony Cai, Anru Zhang
Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-rank Matrices. CoRR (2013)
T. Tony Cai, Anru Zhang
ROP: Matrix Recovery via Rank-One Projections. CoRR (2013)
T. Tony Cai, Yihong Wu
Optimal Detection For Sparse Mixtures CoRR (2012)
T. Tony Cai, Tiefeng Jiang
Phase transition in limiting distributions of coherence of high-dimensional random matrices. J. Multivar. Anal. 107 (2012)
T. Tony Cai, Lie Wang
Orthogonal Matching Pursuit for Sparse Signal Recovery With Noise. IEEE Trans. Inf. Theory 57 (7) (2011)
T. Tony Cai, Lie Wang, Guangwu Xu
Shifting inequality and recovery of sparse signals. IEEE Trans. Signal Process. 58 (3) (2010)
T. Tony Cai, Lie Wang, Guangwu Xu
New bounds for restricted isometry constants. IEEE Trans. Inf. Theory 56 (9) (2010)
T. Tony Cai, Lie Wang, Guangwu Xu
Stable recovery of sparse signals and an oracle inequality. IEEE Trans. Inf. Theory 56 (7) (2010)
T. Tony Cai, Guangwu Xu, Jun Zhang
On recovery of sparse signals via l1 minimization. IEEE Trans. Inf. Theory 55 (7) (2009)
T. Tony Cai, Lie Wang, Guangwu Xu
New Bounds for Restricted Isometry Constants CoRR (2009)
T. Tony Cai, Michael Levine, Lie Wang
Variance function estimation in multivariate nonparametric regression with fixed design. J. Multivar. Anal. 100 (1) (2009)
T. Tony Cai, Guangwu Xu, Jun Zhang
Minimization CoRR (2008)
Chi-Ren Shyu, T. Tony Cai, Lynn S. Broderick
Archiving and retrieval of sequential images from tomographic databases in PACS. Storage and Retrieval for Image and Video Databases (SPIE) (1999)