T. Tony Cai

59 papers Journal 57Unranked 2
YearRankTypeTitle / Venue / Authors
2026 J jnl
Minimax and Adaptive Covariance Matrix Estimation under Differential Privacy.
CoRR
T. Tony Cai, Yicheng Li
2025 J jnl
Integrated analysis for electronic health records with structured and sporadic missingness.
J. Biomed. Informatics
Jianbin Tan, Yan Zhang, Chuan Hong, T. Tony Cai, Tianxi Cai, Anru R. Zhang
2025 J jnl
Optimal Detection for Language Watermarks with Pseudorandom Collision.
CoRR
T. Tony Cai, Xiang Li, Qi Long, Weijie J. Su, Garrett Wen
2025 J jnl
SIHR: Statistical Inference in High-Dimensional Linear and Logistic Regression Models.
R J.
Prabrisha Rakshit, Zhenyu Wang, T. Tony Cai, Zijian Guo
2024 J jnl
Distributed Gaussian Mean Estimation under Communication Constraints: Optimal Rates and Communication-Efficient Algorithms.
J. Mach. Learn. Res.
T. Tony Cai, Hongji Wei
2024 J jnl
Federated Nonparametric Hypothesis Testing with Differential Privacy Constraints: Optimal Rates and Adaptive Tests.
CoRR
T. Tony Cai, Abhinav Chakraborty, Lasse Vuursteen
2024 J jnl
Federated PCA and Estimation for Spiked Covariance Matrices: Optimal Rates and Efficient Algorithm.
CoRR
Jingyang Li, T. Tony Cai, Dong Xia, Anru R. Zhang
2024 J jnl
Matrix Reordering for Noisy Disordered Matrices: Optimality and Computationally Efficient Algorithms.
IEEE Trans. Inf. Theory
T. Tony Cai, Rong Ma
2024 J jnl
Optimal Differentially Private PCA and Estimation for Spiked Covariance Matrices.
CoRR
T. Tony Cai, Dong Xia, Mengyue Zha
2024 J jnl
Optimal Federated Learning for Functional Mean Estimation under Heterogeneous Privacy Constraints.
CoRR
T. Tony Cai, Abhinav Chakraborty, Lasse Vuursteen
2024 J jnl
Optimal Federated Learning for Nonparametric Regression with Heterogeneous Distributed Differential Privacy Constraints.
CoRR
T. Tony Cai, Abhinav Chakraborty, Lasse Vuursteen
2024 J jnl
Transfer Learning for Nonparametric Regression: Non-asymptotic Minimax Analysis and Adaptive Procedure.
CoRR
T. Tony Cai, Hongming Pu
2023 J jnl
Score Attack: A Lower Bound Technique for Optimal Differentially Private Learning.
CoRR
T. Tony Cai, Yichen Wang, Linjun Zhang
2022 J jnl
Sparse Group Lasso: Optimal Sample Complexity, Convergence Rate, and Statistical Inference.
IEEE Trans. Inf. Theory
T. Tony Cai, Anru R. Zhang, Yuchen Zhou
2022 J jnl
Theoretical Foundations of t-SNE for Visualizing High-Dimensional Clustered Data.
J. Mach. Learn. Res.
T. Tony Cai, Rong Ma
2022 J jnl
Transfer Learning for Contextual Multi-armed Bandits.
CoRR
Changxiao Cai, T. Tony Cai, Hongzhe Li
2021 J jnl
Distributed Nonparametric Function Estimation: Optimal Rate of Convergence and Cost of Adaptation.
CoRR
T. Tony Cai, Hongji Wei
2021 J jnl
Optimal Structured Principal Subspace Estimation: Metric Entropy and Minimax Rates.
J. Mach. Learn. Res.
T. Tony Cai, Hongzhe Li, Rong Ma
2021 J jnl
Theoretical Foundations of t-SNE for Visualizing High-Dimensional Clustered Data.
CoRR
T. Tony Cai, Rong Ma
2020 J jnl
Distributed Gaussian Mean Estimation under Communication Constraints: Optimal Rates and Communication-Efficient Algorithms.
CoRR
T. Tony Cai, Hongji Wei
2020 J jnl
The Cost of Privacy in Generalized Linear Models: Algorithms and Minimax Lower Bounds.
CoRR
T. Tony Cai, Yichen Wang, Linjun Zhang
2020 J jnl
Weighted Message Passing and Minimum Energy Flow for Heterogeneous Stochastic Block Models with Side Information.
J. Mach. Learn. Res.
T. Tony Cai, Tengyuan Liang, Alexander Rakhlin
2019 J jnl
Sparse Group Lasso: Optimal Sample Complexity, Convergence Rate, and Statistical Inference.
CoRR
T. Tony Cai, Anru Zhang, Yuchen Zhou
2019 J jnl
The Cost of Privacy: Optimal Rates of Convergence for Parameter Estimation with Differential Privacy.
CoRR
T. Tony Cai, Yichen Wang, Linjun Zhang
2019 J jnl
Transfer Learning for Nonparametric Classification: Minimax Rate and Adaptive Classifier.
CoRR
T. Tony Cai, Hongji Wei
2018 J jnl
Statistical and Computational Limits for Sparse Matrix Detection.
CoRR
T. Tony Cai, Yihong Wu
2017 J jnl
On Detection and Structural Reconstruction of Small-World Random Networks.
IEEE Trans. Netw. Sci. Eng.
T. Tony Cai, Tengyuan Liang, Alexander Rakhlin
2017 J jnl
Optimal detection of weak positive latent dependence between two sequences of multiple tests.
J. Multivar. Anal.
Sihai Dave Zhao, T. Tony Cai, Hongzhe Li
2016 J jnl
Inference for high-dimensional differential correlation matrices.
J. Multivar. Anal.
T. Tony Cai, Anru Zhang
2016 J jnl
Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data.
J. Multivar. Anal.
T. Tony Cai, Anru Zhang
2016 J jnl
On Detection and Structural Reconstruction of Small-World Random Networks.
CoRR
T. Tony Cai, Tengyuan Liang, Alexander Rakhlin
2015 J jnl
Law of log determinant of sample covariance matrix and optimal estimation of differential entropy for high-dimensional Gaussian distributions.
J. Multivar. Anal.
T. Tony Cai, Tengyuan Liang, Harrison H. Zhou
2015 J jnl
Optimal Rates of Convergence for Noisy Sparse Phase Retrieval via Thresholded Wirtinger Flow.
CoRR
T. Tony Cai, Xiaodong Li, Zongming Ma
2014 J jnl
High-dimensional sparse MANOVA.
J. Multivar. Anal.
T. Tony Cai, Yin Xia
2014 J jnl
Optimal Detection of Sparse Mixtures Against a Given Null Distribution.
IEEE Trans. Inf. Theory
T. Tony Cai, Yihong Wu
2014 J jnl
Rate-Optimal Detection of Very Short Signal Segments.
CoRR
T. Tony Cai, Ming Yuan
2014 J jnl
Robust and Computationally Feasible Community Detection in the Presence of Arbitrary Outlier Nodes.
CoRR
T. Tony Cai, Xiaodong Li
2014 J jnl
Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices.
IEEE Trans. Inf. Theory
T. Tony Cai, Anru Zhang
2013 J jnl
A max-norm constrained minimization approach to 1-bit matrix completion.
J. Mach. Learn. Res.
T. Tony Cai, Wen-Xin Zhou
2013 J jnl
Compressed Sensing and Affine Rank Minimization Under Restricted Isometry.
IEEE Trans. Signal Process.
T. Tony Cai, Anru Zhang
2013 J jnl
Compressed Sensing and Affine Rank Minimization under Restricted Isometry
CoRR
T. Tony Cai, Anru Zhang
2013 J jnl
Distributions of angles in random packing on spheres.
J. Mach. Learn. Res.
T. Tony Cai, Jianqing Fan, Tiefeng Jiang
2013 J jnl
Law of Log Determinant of Sample Covariance Matrix and Optimal Estimation of Differential Entropy for High-Dimensional Gaussian Distributions.
CoRR
T. Tony Cai, Tengyuan Liang, Harrison H. Zhou
2013 J jnl
Matrix completion via max-norm constrained optimization
CoRR
T. Tony Cai, Wenxin Zhou
2013 J jnl
ROP: Matrix Recovery via Rank-One Projections.
CoRR
T. Tony Cai, Anru Zhang
2013 — conf
Recent results on sparse principle component analysis.
CAMSAP
T. Tony Cai, Zongming Ma, Yihong Wu
2013 J jnl
Sharp RIP Bound for Sparse Signal and Low-Rank Matrix Recovery
CoRR
T. Tony Cai, Anru Zhang
2013 J jnl
Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-rank Matrices.
CoRR
T. Tony Cai, Anru Zhang
2012 J jnl
Optimal Detection For Sparse Mixtures
CoRR
T. Tony Cai, Yihong Wu
2012 J jnl
Phase transition in limiting distributions of coherence of high-dimensional random matrices.
J. Multivar. Anal.
T. Tony Cai, Tiefeng Jiang
2011 J jnl
Orthogonal Matching Pursuit for Sparse Signal Recovery With Noise.
IEEE Trans. Inf. Theory
T. Tony Cai, Lie Wang
2010 J jnl
New bounds for restricted isometry constants.
IEEE Trans. Inf. Theory
T. Tony Cai, Lie Wang, Guangwu Xu
2010 J jnl
Shifting inequality and recovery of sparse signals.
IEEE Trans. Signal Process.
T. Tony Cai, Lie Wang, Guangwu Xu
2010 J jnl
Stable recovery of sparse signals and an oracle inequality.
IEEE Trans. Inf. Theory
T. Tony Cai, Lie Wang, Guangwu Xu
2009 J jnl
New Bounds for Restricted Isometry Constants
CoRR
T. Tony Cai, Lie Wang, Guangwu Xu
2009 J jnl
On recovery of sparse signals via l1 minimization.
IEEE Trans. Inf. Theory
T. Tony Cai, Guangwu Xu, Jun Zhang
2009 J jnl
Variance function estimation in multivariate nonparametric regression with fixed design.
J. Multivar. Anal.
T. Tony Cai, Michael Levine, Lie Wang
2008 J jnl
On Recovery of Sparse Signals via ℓ
CoRR
T. Tony Cai, Guangwu Xu, Jun Zhang
1999 — conf
Archiving and retrieval of sequential images from tomographic databases in PACS.
Storage and Retrieval for Image and Video Databases (SPIE)
Chi-Ren Shyu, T. Tony Cai, Lynn S. Broderick