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ORCIDT. Tony Cai
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2020 – today
- 2024
[j23]T. Tony Cai, Hongji Wei:
Distributed Gaussian Mean Estimation under Communication Constraints: Optimal Rates and Communication-Efficient Algorithms. J. Mach. Learn. Res. 25: 37:1-37:63 (2024)- [j22]T. Tony Cai
, Rong Ma:
Matrix Reordering for Noisy Disordered Matrices: Optimality and Computationally Efficient Algorithms. IEEE Trans. Inf. Theory 70(1): 509-531 (2024) - [i27]T. Tony Cai, Dong Xia, Mengyue Zha:
Optimal Differentially Private PCA and Estimation for Spiked Covariance Matrices. CoRR abs/2401.03820 (2024) - [i26]T. Tony Cai, Hongming Pu:
Transfer Learning for Nonparametric Regression: Non-asymptotic Minimax Analysis and Adaptive Procedure. CoRR abs/2401.12272 (2024) - [i25]T. Tony Cai, Abhinav Chakraborty, Lasse Vuursteen:
Federated Nonparametric Hypothesis Testing with Differential Privacy Constraints: Optimal Rates and Adaptive Tests. CoRR abs/2406.06749 (2024) - [i24]T. Tony Cai, Abhinav Chakraborty, Lasse Vuursteen:
Optimal Federated Learning for Nonparametric Regression with Heterogeneous Distributed Differential Privacy Constraints. CoRR abs/2406.06755 (2024) - 2023
- [i23]T. Tony Cai, Yichen Wang, Linjun Zhang:
Score Attack: A Lower Bound Technique for Optimal Differentially Private Learning. CoRR abs/2303.07152 (2023) - 2022
- [j21]T. Tony Cai, Rong Ma:
Theoretical Foundations of t-SNE for Visualizing High-Dimensional Clustered Data. J. Mach. Learn. Res. 23: 301:1-301:54 (2022) - [j20]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): 5975-6002 (2022) - [i22]Changxiao Cai, T. Tony Cai, Hongzhe Li:
Transfer Learning for Contextual Multi-armed Bandits. CoRR abs/2211.12612 (2022) - 2021
- [j19]T. Tony Cai, Hongzhe Li, Rong Ma:
Optimal Structured Principal Subspace Estimation: Metric Entropy and Minimax Rates. J. Mach. Learn. Res. 22: 46:1-46:45 (2021) - [i21]T. Tony Cai, Rong Ma:
Theoretical Foundations of t-SNE for Visualizing High-Dimensional Clustered Data. CoRR abs/2105.07536 (2021) - [i20]T. Tony Cai, Hongji Wei:
Distributed Nonparametric Function Estimation: Optimal Rate of Convergence and Cost of Adaptation. CoRR abs/2107.00179 (2021) - 2020
- [j18]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: 11:1-11:34 (2020) - [i19]T. Tony Cai, Hongji Wei:
Distributed Gaussian Mean Estimation under Communication Constraints: Optimal Rates and Communication-Efficient Algorithms. CoRR abs/2001.08877 (2020) - [i18]T. Tony Cai, Yichen Wang, Linjun Zhang:
The Cost of Privacy in Generalized Linear Models: Algorithms and Minimax Lower Bounds. CoRR abs/2011.03900 (2020)
2010 – 2019
- 2019
- [i17]T. Tony Cai, Yichen Wang, Linjun Zhang:
The Cost of Privacy: Optimal Rates of Convergence for Parameter Estimation with Differential Privacy. CoRR abs/1902.04495 (2019) - [i16]T. Tony Cai, Hongji Wei:
Transfer Learning for Nonparametric Classification: Minimax Rate and Adaptive Classifier. CoRR abs/1906.02903 (2019) - [i15]T. Tony Cai, Anru Zhang, Yuchen Zhou:
Sparse Group Lasso: Optimal Sample Complexity, Convergence Rate, and Statistical Inference. CoRR abs/1909.09851 (2019) - 2018
- [i14]T. Tony Cai, Yihong Wu:
Statistical and Computational Limits for Sparse Matrix Detection. CoRR abs/1801.00518 (2018) - 2017
- [j17]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: 169-184 (2017) - [j16]T. Tony Cai, Tengyuan Liang, Alexander Rakhlin:
On Detection and Structural Reconstruction of Small-World Random Networks. IEEE Trans. Netw. Sci. Eng. 4(3): 165-176 (2017) - 2016
- [j15]T. Tony Cai, Anru Zhang:
Inference for high-dimensional differential correlation matrices. J. Multivar. Anal. 143: 107-126 (2016) - [j14]T. Tony Cai, Anru Zhang:
Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data. J. Multivar. Anal. 150: 55-74 (2016) - [i13]T. Tony Cai, Tengyuan Liang, Alexander Rakhlin:
On Detection and Structural Reconstruction of Small-World Random Networks. CoRR abs/1604.06474 (2016) - 2015
- [j13]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: 161-172 (2015) - [i12]T. Tony Cai, Xiaodong Li, Zongming Ma:
Optimal Rates of Convergence for Noisy Sparse Phase Retrieval via Thresholded Wirtinger Flow. CoRR abs/1506.03382 (2015) - 2014
- [j12]T. Tony Cai, Yin Xia:
High-dimensional sparse MANOVA. J. Multivar. Anal. 131: 174-196 (2014) - [j11]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): 122-132 (2014) - [j10]T. Tony Cai, Yihong Wu:
Optimal Detection of Sparse Mixtures Against a Given Null Distribution. IEEE Trans. Inf. Theory 60(4): 2217-2232 (2014) - [i11]T. Tony Cai, Xiaodong Li:
Robust and Computationally Feasible Community Detection in the Presence of Arbitrary Outlier Nodes. CoRR abs/1404.6000 (2014) - [i10]T. Tony Cai, Ming Yuan:
Rate-Optimal Detection of Very Short Signal Segments. CoRR abs/1407.2812 (2014) - 2013
- [j9]T. Tony Cai, Jianqing Fan, Tiefeng Jiang:
Distributions of angles in random packing on spheres. J. Mach. Learn. Res. 14(1): 1837-1864 (2013) - [j8]T. Tony Cai, Anru Zhang:
Compressed Sensing and Affine Rank Minimization Under Restricted Isometry. IEEE Trans. Signal Process. 61(13): 3279-3290 (2013) - [c2]T. Tony Cai, Zongming Ma, Yihong Wu:
Recent results on sparse principle component analysis. CAMSAP 2013: 181-183 - [i9]T. Tony Cai, Anru Zhang:
Sharp RIP Bound for Sparse Signal and Low-Rank Matrix Recovery. CoRR abs/1302.1236 (2013) - [i8]T. Tony Cai, Wenxin Zhou:
Matrix completion via max-norm constrained optimization. CoRR abs/1303.0341 (2013) - [i7]T. Tony Cai, Anru Zhang:
Compressed Sensing and Affine Rank Minimization under Restricted Isometry. CoRR abs/1304.3531 (2013) - [i6]T. Tony Cai, Anru Zhang:
Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-rank Matrices. CoRR abs/1306.1154 (2013) - [i5]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 abs/1309.0482 (2013) - [i4]T. Tony Cai, Anru Zhang:
ROP: Matrix Recovery via Rank-One Projections. CoRR abs/1310.5791 (2013) - 2012
- [j7]T. Tony Cai, Tiefeng Jiang:
Phase transition in limiting distributions of coherence of high-dimensional random matrices. J. Multivar. Anal. 107: 24-39 (2012) - [i3]T. Tony Cai, Yihong Wu:
Optimal Detection For Sparse Mixtures. CoRR abs/1211.2265 (2012) - 2011
- [j6]T. Tony Cai, Lie Wang:
Orthogonal Matching Pursuit for Sparse Signal Recovery With Noise. IEEE Trans. Inf. Theory 57(7): 4680-4688 (2011) - 2010
- [j5]T. Tony Cai, Lie Wang, Guangwu Xu:
Stable recovery of sparse signals and an oracle inequality. IEEE Trans. Inf. Theory 56(7): 3516-3522 (2010) - [j4]T. Tony Cai, Lie Wang, Guangwu Xu:
New bounds for restricted isometry constants. IEEE Trans. Inf. Theory 56(9): 4388-4394 (2010) - [j3]T. Tony Cai, Lie Wang, Guangwu Xu:
Shifting inequality and recovery of sparse signals. IEEE Trans. Signal Process. 58(3): 1300-1308 (2010)
2000 – 2009
- 2009
- [j2]T. Tony Cai, Michael Levine, Lie Wang:
Variance function estimation in multivariate nonparametric regression with fixed design. J. Multivar. Anal. 100(1): 126-136 (2009) - [j1]T. Tony Cai, Guangwu Xu, Jun Zhang:
On recovery of sparse signals via l1 minimization. IEEE Trans. Inf. Theory 55(7): 3388-3397 (2009) - [i2]T. Tony Cai, Lie Wang, Guangwu Xu:
New Bounds for Restricted Isometry Constants. CoRR abs/0911.1564 (2009) - 2008
- [i1]T. Tony Cai, Guangwu Xu, Jun Zhang:
On Recovery of Sparse Signals via ℓ1 Minimization. CoRR abs/0805.0149 (2008)
1990 – 1999
- 1999
- [c1]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: 33-40
Coauthor Index
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