Tianwen Cai - Author Profile

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Cai, Tianwen

Author ID:	cai.t-tony
Published as:	Cai, T. Tony; Cai, Tony; Tony Cai, T.; Cai, Tianwen Tony; Cai, Tony Tony; Cai, Tianwen; Cai, Tony T.; Cai, T. T. more...less
Further Spellings:	蔡天文
Homepage:	http://www-stat.wharton.upenn.edu/~tcai/
External Links:	MGP · ORCID · Wikidata · Google Scholar · dblp · GND

Documents Indexed:	180 Publications since 1990, including 2 Additional arXiv Preprints
	6 Contributions as Editor
Co-Authors:	92 Co-Authors with 174 Joint Publications
	3,035 Co-Co-Authors

all top 5

Co-Authors

11	single-authored
27	Li, Hongzhe
18	Low, Mark G.
16	Zhou, Harrison H.
14	Xia, Yin
12	Brown, Lawrence David
12	Guo, Zijian
9	Liu, Weidong
9	Sun, Wenguang
9	Zhang, Linjun
8	Ma, Rong
8	Wang, Lie
8	Zhang, Anru
6	Yuan, Ming
5	Cai, Tianxi
5	Ma, Zongming
5	Wu, Yihong
5	Xie, Jichun
4	Jeng, X. Jessie
4	Jiang, Tiefeng
4	Jin, Jiashun
4	Li, Sai
4	Liang, Tengyuan
4	Xu, Guangwu
4	Zhao, Sihai Dave
3	Bühlmann, Peter
3	DasGupta, Anirban
3	Kang, Hyunseung
3	Li, Xiaodong
3	Rakhlin, Alexander
3	Ren, Zhao
3	Small, Dylan S.
3	Wang, Yazhen
3	Wei, Hongji
3	Zhang, Anru R.
2	Kim, Donggyu
2	Ma, Jing
2	Munk, Axel
2	Pu, Hongming
2	Tan, Xin Lu
2	Wang, Shulei
2	Zhang, Cun-Hui
2	Zhao, Linda H.
2	Zhou, Wen-Xin
1	Basu, Pallavi
1	Berger, James Orvis
1	Cai, Changxiao
1	Chen, Ran
1	Chicken, Eric
1	Das, Kiranmoy
1	Eldar, Yonina Chana
1	Fan, Jianqing
1	Guindani, Michele
1	Guntuboyina, Adityanand
1	Hall, Peter Gavin
1	Han, Rungang
1	Han, Xiao
1	Hu, Jianchang
1	Johnstone, Iain Murray
1	Kim, Dongwoo
1	Lee, Thomas C. M.
1	Lee, Youjin
1	Li, Xiaoou
1	Li, Yingying
1	Liao, Katherine P.
1	Luo, Xi
1	Maris, John
1	Pan, Guangming
1	Pensky, Marianna
1	Reich, Brian James
1	Renaux, Claude
1	Schmidt-Hieber, Johannes
1	Schwartzman, Armin
1	Shen, Xiaotong
1	Silverman, Bernard W.
1	Wang, Hsiuying
1	Wang, Wanjie
1	Wang, Weinan
1	Wang, Yichen
1	Wei, Yuting
1	Wolfe, Patrick J.
1	Wu, Ruijia
1	Xiang, Dongdong
1	Yu, Bin
1	Zhang, Jun
1	Zhang, Ren
1	Zhao, Linda
1	Zheng, Xinghua
1	Zhou, Huibin
1	Zhou, Yuchen
1	Zhu, Ji
1	Zhu, Lixing
1	Zhu, Yuancheng

all top 5

Serials

59	The Annals of Statistics
25	Journal of the American Statistical Association
17	Statistica Sinica
13	Journal of the Royal Statistical Society. Series B. Statistical Methodology
10	Journal of Multivariate Analysis
9	Biometrika
8	IEEE Transactions on Information Theory
5	Electronic Journal of Statistics
4	Statistical Science
4	Journal of Machine Learning Research (JMLR)
3	Journal of Statistical Planning and Inference
3	Probability Theory and Related Fields
3	Bernoulli
2	Biometrics
2	Journal of Econometrics
2	IEEE Transactions on Signal Processing
2	Test
2	Journal of Nonparametric Statistics
2	Statistics and Its Interface
1	Sankhyā. Series B. Methodological
1	Statistics & Probability Letters
1	The Annals of Applied Probability
1	Applied and Computational Harmonic Analysis
1	Electronic Journal of Probability
1	Oberwolfach Reports
1	Institute of Mathematical Statistics Collections

all top 5

Fields

172	Statistics (62-XX)
21	Numerical analysis (65-XX)
13	Information and communication theory, circuits (94-XX)
12	Harmonic analysis on Euclidean spaces (42-XX)
11	Operations research, mathematical programming (90-XX)
10	Probability theory and stochastic processes (60-XX)
10	Biology and other natural sciences (92-XX)
6	Functional analysis (46-XX)
5	General and overarching topics; collections (00-XX)
5	Linear and multilinear algebra; matrix theory (15-XX)
5	Computer science (68-XX)
3	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2	Quantum theory (81-XX)
1	History and biography (01-XX)
1	Combinatorics (05-XX)
1	Convex and discrete geometry (52-XX)
1	Astronomy and astrophysics (85-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

166 Publications have been cited 5,293 times in 3,128 Documents	Cited by ▼	Year ▼
A constrained \(\ell _{1}\) minimization approach to sparse precision matrix estimation. Zbl 1232.62087 Cai, Tony; Liu, Weidong; Luo, Xi	316	2011
Prediction in functional linear regression. Zbl 1106.62036 Cai, T. Tony; Hall, Peter	274	2006
Adaptive thresholding for sparse covariance matrix estimation. Zbl 1232.62086 Cai, Tony; Liu, Weidong	197	2011
Interval estimation for a binomial proportion. (With comments and a rejoinder). Zbl 1059.62533 Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban	161	2001
Optimal rates of convergence for covariance matrix estimation. Zbl 1202.62073 Cai, T. Tony; Zhang, Cun-Hui; Zhou, Harrison H.	156	2010
A reproducing kernel Hilbert space approach to functional linear regression. Zbl 1204.62074 Yuan, Ming; Cai, T. Tony	125	2010
Adaptive wavelet estimation: A block thresholding and oracle inequality approach. Zbl 0954.62047 Cai, T. Tony	122	1999
Two-sample test of high dimensional means under dependence. Zbl 07555454 Cai, T. Tony; Liu, Weidong; Xia, Yin	118	2014
Oracle and adaptive compound decision rules for false discovery rate control. Zbl 1469.62318 Sun, Wenguang; Cai, T. Tony	111	2007
Sparse representation of a polytope and recovery in sparse signals and low-rank matrices. Zbl 1364.94114 Cai, T. Tony; Zhang, Anru	101	2014
Sparse PCA: optimal rates and adaptive estimation. Zbl 1288.62099 Cai, T. Tony; Ma, Zongming; Wu, Yihong	98	2013
Two-sample covariance matrix testing and support recovery in high-dimensional and sparse settings. Zbl 06158341 Cai, Tony; Liu, Weidong; Xia, Yin	98	2013
A direct estimation approach to sparse linear discriminant analysis. Zbl 1233.62129 Cai, Tony; Liu, Weidong	97	2011
Minimax and adaptive prediction for functional linear regression. Zbl 1443.62196 Cai, T. Tony; Yuan, Ming	93	2012
Optimal rates of convergence for sparse covariance matrix estimation. Zbl 1373.62247 Cai, T. Tony; Zhou, Harrison H.	86	2012
Limiting laws of coherence of random matrices with applications to testing covariance structure and construction of compressed sensing matrices. Zbl 1220.62066 Cai, T. Tony; Jiang, Tiefeng	82	2011
Confidence intervals for a binomial proportion and asymptotic expansions. Zbl 1012.62026 Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban	74	2002
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021 Cai, T. Tony; Zhang, Anru	74	2013
Estimating sparse precision matrix: optimal rates of convergence and adaptive estimation. Zbl 1341.62115 Cai, T. Tony; Liu, Weidong; Zhou, Harrison H.	73	2016
Large-scale multiple testing under dependence. Zbl 1248.62005 Sun, Wenguang; Cai, T. Tony	72	2009
Estimating the null and the proportion of nonnull effects in large-scale multiple comparisons. Zbl 1172.62319 Jin, Jiashun; Cai, T. Tony	67	2007
Estimating structured high-dimensional covariance and precision matrices: optimal rates and adaptive estimation. Zbl 1331.62272 Cai, T. Tony; Ren, Zhao; Zhou, Harrison H.	67	2016
Optimal estimation and rank detection for sparse spiked covariance matrices. Zbl 1314.62130 Cai, Tony; Ma, Zongming; Wu, Yihong	60	2015
Confidence intervals for high-dimensional linear regression: minimax rates and adaptivity. Zbl 1371.62045 Cai, T. Tony; Guo, Zijian	59	2017
Optimal hypothesis testing for high dimensional covariance matrices. Zbl 1281.62140 Cai, T. Tony; Ma, Zongming	57	2013
Shifting inequality and recovery of sparse signals. Zbl 1392.94117 Cai, T. Tony; Wang, Lie; Xu, Guangwu	56	2010
New bounds for restricted isometry constants. Zbl 1366.94181 Cai, T. Tony; Wang, Lie; Xu, Guangwu	56	2010
Orthogonal matching pursuit for sparse signal recovery with noise. Zbl 1365.94058 Cai, T. Tony; Wang, Lie	51	2011
Estimation and confidence sets for sparse normal mixtures. Zbl 1360.62113 Cai, T. Tony; Jin, Jiashun; Low, Mark G.	48	2007
Wavelet shrinkage for nonequispaced samples. Zbl 0929.62047 Cai, T. Tony; Brown, Lawrence D.	47	1998
Minimax estimation of large covariance matrices under \(\ell_1\)-norm. Zbl 1266.62036 Cai, T. Tony; Zhou, Harrison H.	47	2012
An adaptation theory for nonparametric confidence intervals. Zbl 1056.62060 Cai, T. Tony; Low, Mark G.	47	2004
Adaptive covariance matrix estimation through block thresholding. Zbl 1257.62060 Cai, T. Tony; Yuan, Ming	46	2012
Effect of mean on variance function estimation in nonparametric regression. Zbl 1133.62033 Wang, Lie; Brown, Lawrence D.; Cai, T. Tony; Levine, Michael	46	2008
Optimal estimation of the mean function based on discretely sampled functional data: phase transition. Zbl 1231.62040 Cai, T. Tony; Yuan, Ming	45	2011
Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics. Zbl 1395.62122 Cai, T. Tony; Zhang, Anru	44	2018
On recovery of sparse signals via \(\ell_1\) minimization. Zbl 1367.94081 Cai, T. Tony; Xu, Guangwu; Zhang, Jun	43	2009
Incorporating information on neighbouring coefficients into wavelet estimation. Zbl 1192.42020 Cai, T. Tony; Silverman, Bernard W.	43	2001
Covariate-adjusted precision matrix estimation with an application in genetical genomics. Zbl 1284.62648 Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun	43	2013
False discovery control in large-scale spatial multiple testing. Zbl 1414.62043 Sun, Wenguang; Reich, Brian J.; Cai, T. Tony; Guindani, Michele; Schwartzman, Armin	43	2015
Simultaneous testing of grouped hypotheses: finding needles in multiple haystacks. Zbl 1205.62005 Cai, T. Tony; Sun, Wenguang	42	2009
Optimal detection of heterogeneous and heteroscedastic mixtures. Zbl 1228.62020 Cai, T. Tony; Jeng, X. Jessie; Jin, Jiashun	41	2011
On block thresholding in wavelet regression: Adaptivity, block size, and threshold level. Zbl 1004.62036 Cai, T. Tony	39	2002
Testing differential networks with applications to the detection of gene-gene interactions. Zbl 1452.62392 Xia, Yin; Cai, Tianxi; Cai, T. Tony	39	2015
Adaptive confidence balls. Zbl 1091.62037 Cai, T. Tony; Low, Mark G.	39	2006
Robust and computationally feasible community detection in the presence of arbitrary outlier nodes. Zbl 1328.62381 Cai, T. Tony; Li, Xiaodong	39	2015
A difference based approach to the semiparametric partial linear model. Zbl 1329.62179 Wang, Lie; Brown, Lawrence D.; Cai, T. Tony	38	2011
Asymptotic equivalence theory for nonparametric regression with random design. Zbl 1029.62044 Brown, Lawrence D.; Cai, T. Tony; Low, Mark G.; Zhang, Cun-Hui	36	2002
Distributions of angles in random packing on spheres. Zbl 1318.60017 Cai, Tony; Fan, Jianqing; Jiang, Tiefeng	34	2013
Adaptive variance function estimation in heteroscedastic nonparametric regression. Zbl 1148.62021 Cai, T. Tony; Wang, Lie	34	2008
A data-driven block thresholding approach to wavelet estimation. Zbl 1162.62032 Cai, T. Tony; Zhou, Harrison H.	34	2009
One-sided confidence intervals in discrete distributions. Zbl 1062.62053 Cai, T. Tony	32	2005
Optimal rates of convergence for noisy sparse phase retrieval via thresholded Wirtinger flow. Zbl 1349.62019 Cai, T. Tony; Li, Xiaodong; Ma, Zongming	32	2016
High-dimensional sparse MANOVA. Zbl 1298.62090 Cai, T. Tony; Xia, Yin	32	2014
Stable recovery of sparse signals and an oracle inequality. Zbl 1366.94085 Cai, Tony Tony; Wang, Lie; Xu, Guangwu	30	2010
The root-unroot algorithm for density estimation as implemented via wavelet block thresholding. Zbl 1180.62055 Brown, Lawrence; Cai, Tony; Zhang, Ren; Zhao, Linda; Zhou, Harrison	29	2010
Nonquadratic estimators of a quadratic functional. Zbl 1085.62055 Cai, T. Tony; Low, Mark G.	29	2005
Covariate-assisted ranking and screening for large-scale two-sample inference. Zbl 1420.62032 Cai, T. Tony; Sun, Wenguang; Wang, Weinan	28	2019
ROP: matrix recovery via rank-one projections. Zbl 1308.62120 Cai, T. Tony; Zhang, Anru	27	2015
Optimal rates of convergence for estimating the null density and proportion of nonnull effects in large-scale multiple testing. Zbl 1181.62040 Cai, T. Tony; Jin, Jiashun	26	2010
Optimal adaptive estimation of a quadratic functional. Zbl 1110.62048 Cai, T. Tony; Low, Mark G.	26	2006
Wavelet estimation for samples with random uniform design. Zbl 0940.62037 Cai, T. Tony; Brown, Lawrence D.	25	1999
Direct estimation of differential networks. Zbl 1452.62865 Zhao, Sihai Dave; Cai, T. Tony; Li, Hongzhe	25	2014
Optimal sparse segment identification with application in copy number variation analysis. Zbl 1390.62170 Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe	24	2010
Optimal rates of convergence for estimating Toeplitz covariance matrices. Zbl 06176807 Cai, T. Tony; Ren, Zhao; Zhou, Harrison H.	24	2013
Optimal detection of sparse mixtures against a given null distribution. Zbl 1360.94108 Cai, Tony T.; Wu, Yihong	24	2014
Joint estimation of multiple high-dimensional precision matrices. Zbl 1356.62066 Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun	24	2016
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101 Cai, T. Tony; Low, Mark G.	23	2011
Limiting laws for divergent spiked eigenvalues and largest nonspiked eigenvalue of sample covariance matrices. Zbl 1456.62113 Cai, T. Tony; Han, Xiao; Pan, Guangming	23	2020
Minimax estimation of linear functionals over nonconvex parameter spaces. Zbl 1048.62054 Cai, T. Tony; Low, Mark G.	22	2004
Block thresholding for density estimation: local and global adaptivity. Zbl 1064.62036 Chicken, Eric; Cai, T. Tony	21	2005
A max-norm constrained minimization approach to 1-bit matrix completion. Zbl 1318.62172 Cai, Tony; Zhou, Wen-Xin	21	2013
Matrix completion via max-norm constrained optimization. Zbl 1342.62091 Cai, T. Tony; Zhou, Wen-Xin	21	2016
Transfer learning for nonparametric classification: minimax rate and adaptive classifier. Zbl 1466.62351 Cai, T. Tony; Wei, Hongji	20	2021
Phase transition in limiting distributions of coherence of high-dimensional random matrices. Zbl 1352.60006 Cai, T. Tony; Jiang, Tiefeng	19	2012
Compressed sensing and affine rank minimization under restricted isometry. Zbl 1393.94185 Cai, T. Tony; Zhang, Anru	19	2013
Robust nonparametric estimation via wavelet median regression. Zbl 1148.62019 Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H.	19	2008
On adaptive estimation of linear functionals. Zbl 1086.62031 Cai, T. Tony; Low, Mark G.	19	2005
Variance function estimation in multivariate nonparametric regression with fixed design. Zbl 1151.62029 Cai, T. Tony; Levine, Michael; Wang, Lie	19	2009
High dimensional linear discriminant analysis: optimality, adaptive algorithm and missing data. Zbl 1428.62267 Cai, T. Tony; Zhang, Linjun	19	2019
Accuracy assessment for high-dimensional linear regression. Zbl 1403.62131 Cai, T. Tony; Guo, Zijian	18	2018
Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data. Zbl 1347.62088 Cai, T. Tony; Zhang, Anru	17	2016
Law of log determinant of sample covariance matrix and optimal estimation of differential entropy for high-dimensional Gaussian distributions. Zbl 1329.62255 Cai, T. Tony; Liang, Tengyuan; Zhou, Harrison H.	17	2015
Nonparametric regression in exponential families. Zbl 1202.62050 Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H.	17	2010
Semisupervised inference for explained variance in high dimensional linear regression and its applications. Zbl 07554759 Cai, T. Tony; Guo, Zijian	17	2020
CHIME: clustering of high-dimensional Gaussian mixtures with EM algorithm and its optimality. Zbl 1428.62182 Cai, T. Tony; Ma, Jing; Zhang, Linjun	17	2019
On adaptive wavelet estimation of a derivative and other related linear inverse problems. Zbl 1016.62025 Cai, T. Tony	16	2002
Interval estimation in exponential families. Zbl 1017.62027 Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban	16	2003
Global and simultaneous hypothesis testing for high-dimensional logistic regression models. Zbl 1464.62306 Ma, Rong; Tony Cai, T.; Li, Hongzhe	16	2021
Rates of convergence and adaptation over Besov spaces under pointwise risk. Zbl 1046.62046 Cai, T. Tony	15	2003
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093 Cai, T. Tony; Low, Mark; Ma, Zongming	15	2014
Computational and statistical boundaries for submatrix localization in a large noisy matrix. Zbl 1392.62017 Cai, T. Tony; Liang, Tengyuan; Rakhlin, Alexander	15	2017
Weighted false discovery rate control in large-scale multiple testing. Zbl 1402.62050 Basu, Pallavi; Cai, T. Tony; Das, Kiranmoy; Sun, Wenguang	15	2018
A framework for estimation of convex functions. Zbl 1534.62033 Cai, T. Tony; Low, Mark G.	14	2015
Simultaneous discovery of rare and common segment variants. Zbl 1284.62658 Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe	14	2013
Confidence intervals for causal effects with invalid instruments by using two-stage hard thresholding with voting. Zbl 1398.62114 Guo, Zijian; Kang, Hyunseung; Cai, T. Tony; Small, Dylan S.	14	2018
Transfer learning for high-dimensional linear regression: prediction, estimation and minimax optimality. Zbl 07593407 Li, Sai; Cai, T. Tony; Li, Hongzhe	14	2022
A note on nonparametric estimation of linear functionals. Zbl 1105.62325 Cai, T. Tony; Low, Mark G.	13	2003
Tolerance intervals for discrete distributions in exponential families. Zbl 1166.62015 Cai, Tianwen Tony; Wang, Hsiuying	13	2009
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066 Cai, T. Tony; Low, Mark G.; Xia, Yin	13	2013
Transfer learning for contextual multi-armed bandits. Zbl 1539.62097 Cai, Changxiao; Cai, T. Tony; Li, Hongzhe	1	2024
Estimation and inference for high-dimensional generalized linear models with knowledge transfer. Zbl 07877159 Li, Sai; Zhang, Linjun; Cai, T. Tony; Li, Hongzhe	1	2024
Transfer learning in large-scale Gaussian graphical models with false discovery rate control. Zbl 07751836 Li, Sai; Cai, T. Tony; Li, Hongzhe	5	2023
Statistical inference for high-dimensional generalized linear models with binary outcomes. Zbl 07707243 Cai, T. Tony; Guo, Zijian; Ma, Rong	4	2023
Statistical inference and large-scale multiple testing for high-dimensional regression models. Zbl 1536.62067 Cai, T. Tony; Guo, Zijian; Xia, Yin	2	2023
Sparse topic modeling: computational efficiency, near-optimal algorithms, and statistical inference. Zbl 07751813 Wu, Ruijia; Zhang, Linjun; Tony Cai, T.	1	2023
Transfer learning for high-dimensional linear regression: prediction, estimation and minimax optimality. Zbl 07593407 Li, Sai; Cai, T. Tony; Li, Hongzhe	14	2022
Heteroskedastic PCA: algorithm, optimality, and applications. Zbl 1486.62183 Zhang, Anru R.; Cai, T. Tony; Wu, Yihong	10	2022
Inference for high-dimensional linear mixed-effects models: a quasi-likelihood approach. Zbl 1515.62076 Li, Sai; Cai, T. Tony; Li, Hongzhe	4	2022
On the non-asymptotic concentration of heteroskedastic Wishart-type matrix. Zbl 1486.60009 Cai, T. Tony; Han, Rungang; Zhang, Anru R.	4	2022
LAWS: a locally adaptive weighting and screening approach to spatial multiple testing. Zbl 1506.62349 Cai, T. Tony; Sun, Wenguang; Xia, Yin	3	2022
Distributed nonparametric function estimation: optimal rate of convergence and cost of adaptation. Zbl 1486.62099 Cai, T. Tony; Wei, Hongji	3	2022
Two robust tools for inference about causal effects with invalid instruments. Zbl 1520.62245 Kang, Hyunseung; Lee, Youjin; Cai, T. Tony; Small, Dylan S.	2	2022
Sparse group Lasso: optimal sample complexity, convergence rate, and statistical inference. Zbl 1515.62071 Cai, T. Tony; Zhang, Anru R.; Zhou, Yuchen	2	2022
Distributed adaptive Gaussian mean estimation with unknown variance: interactive protocol helps adaptation. Zbl 1539.62042 Cai, T. Tony; Wei, Hongji	1	2022
Stochastic continuum-armed bandits with additive models: minimax regrets and adaptive algorithm. Zbl 1539.62099 Cai, T. Tony; Pu, Hongming	1	2022
Transfer learning for nonparametric classification: minimax rate and adaptive classifier. Zbl 1466.62351 Cai, T. Tony; Wei, Hongji	20	2021
Global and simultaneous hypothesis testing for high-dimensional logistic regression models. Zbl 1464.62306 Ma, Rong; Tony Cai, T.; Li, Hongzhe	16	2021
The cost of privacy: optimal rates of convergence for parameter estimation with differential privacy. Zbl 1486.62074 Cai, T. Tony; Wang, Yichen; Zhang, Linjun	10	2021
Group inference in high dimensions with applications to hierarchical testing. Zbl 1493.62424 Guo, Zijian; Renaux, Claude; Bühlmann, Peter; Cai, Tony	6	2021
Optimal structured principal subspace estimation: metric entropy and minimax rates. Zbl 1539.62175 Cai, Tony; Li, Hongzhe; Ma, Rong	3	2021
Optimal statistical inference for individualized treatment effects in high-dimensional models. Zbl 07555274 Cai, Tianxi; Cai, T. Tony; Guo, Zijian	3	2021
Asymptotic analysis for extreme eigenvalues of principal minors of random matrices. Zbl 1486.60010 Cai, T. Tony; Jiang, Tiefeng; Li, Xiaoou	3	2021
Optimal estimation of Wasserstein distance on a tree with an application to microbiome studies. Zbl 1510.62459 Wang, Shulei; Cai, T. Tony; Li, Hongzhe	2	2021
A convex optimization approach to high-dimensional sparse quadratic discriminant analysis. Zbl 1475.62178 Cai, T. Tony; Zhang, Linjun	2	2021
Optimal permutation recovery in permuted monotone matrix model. Zbl 1510.62445 Ma, Rong; Tony Cai, T.; Li, Hongzhe	1	2021
Optimal estimation of bacterial growth rates based on a permuted monotone matrix. Zbl 07459723 Ma, Rong; Cai, T. Tony; Li, Hongzhe	1	2021
Hypothesis testing for phylogenetic composition: a minimum-cost flow perspective. Zbl 1462.62692 Wang, Shulei; Cai, T. Tony; Li, Hongzhe	1	2021
Limiting laws for divergent spiked eigenvalues and largest nonspiked eigenvalue of sample covariance matrices. Zbl 1456.62113 Cai, T. Tony; Han, Xiao; Pan, Guangming	23	2020
Semisupervised inference for explained variance in high dimensional linear regression and its applications. Zbl 07554759 Cai, T. Tony; Guo, Zijian	17	2020
High-dimensional minimum variance portfolio estimation based on high-frequency data. Zbl 1456.62242 Cai, T. Tony; Hu, Jianchang; Li, Yingying; Zheng, Xinghua	12	2020
GAP: a general framework for information pooling in two-sample sparse inference. Zbl 1441.62195 Xia, Yin; Cai, T. Tony; Sun, Wenguang	7	2020
Statistical and computational limits for sparse matrix detection. Zbl 1453.62285 Cai, T. Tony; Wu, Yihong	3	2020
Covariate-assisted ranking and screening for large-scale two-sample inference. Zbl 1420.62032 Cai, T. Tony; Sun, Wenguang; Wang, Weinan	28	2019
High dimensional linear discriminant analysis: optimality, adaptive algorithm and missing data. Zbl 1428.62267 Cai, T. Tony; Zhang, Linjun	19	2019
CHIME: clustering of high-dimensional Gaussian mixtures with EM algorithm and its optimality. Zbl 1428.62182 Cai, T. Tony; Ma, Jing; Zhang, Linjun	17	2019
Optimal estimation of genetic relatedness in high-dimensional linear models. Zbl 1478.62193 Guo, Zijian; Wang, Wanjie; Cai, T. Tony; Li, Hongzhe	11	2019
Semi-supervised inference: general theory and estimation of means. Zbl 1436.62083 Zhang, Anru; Brown, Lawrence D.; Cai, T. Tony	10	2019
Differential Markov random field analysis with an application to detecting differential microbial community networks. Zbl 1444.62121 Cai, T. T.; Li, H.; Ma, J.; Xia, Y.	6	2019
Signal classification for the integrative analysis of multiple sequences of large-scale multiple tests. Zbl 1428.62300 Xiang, Dongdong; Zhao, Sihai Dave; Cai, T. Tony	5	2019
Large-scale simultaneous testing of cross-covariance matrices with applications to PheWAS. Zbl 1422.62262 Cai, Tianxi; Cai, T. Tony; Liao, Katherine; Liu, Weidong	3	2019
Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics. Zbl 1395.62122 Cai, T. Tony; Zhang, Anru	44	2018
Accuracy assessment for high-dimensional linear regression. Zbl 1403.62131 Cai, T. Tony; Guo, Zijian	18	2018
Weighted false discovery rate control in large-scale multiple testing. Zbl 1402.62050 Basu, Pallavi; Cai, T. Tony; Das, Kiranmoy; Sun, Wenguang	15	2018
Confidence intervals for causal effects with invalid instruments by using two-stage hard thresholding with voting. Zbl 1398.62114 Guo, Zijian; Kang, Hyunseung; Cai, T. Tony; Small, Dylan S.	14	2018
High-dimensional Gaussian copula regression: adaptive estimation and statistical inference. Zbl 1390.62099 Cai, T. Tony; Zhang, Linjun	12	2018
Multiple testing of submatrices of a precision matrix with applications to identification of between pathway interactions. Zbl 1398.62202 Xia, Yin; Cai, Tianxi; Cai, T. Tony	10	2018
Two-sample tests for high-dimensional linear regression with an application to detecting interactions. Zbl 1382.62042 Xia, Yin; Cai, Tianxi; Cai, T. Tony	9	2018
Joint testing and false discovery rate control in high-dimensional multivariate regression. Zbl 07072411 Xia, Yin; Cai, T. Tony; Li, Hongzhe	7	2018
Testing endogeneity with high dimensional covariates. Zbl 1452.62913 Guo, Zijian; Kang, Hyunseung; Cai, T. Tony; Small, Dylan S.	5	2018
Adaptive functional linear regression via functional principal component analysis and block thresholding. Zbl 1406.62062 Cai, T. Tony; Zhang, Linjun; Zhou, Harrison H.	3	2018
Adaptive estimation of planar convex sets. Zbl 1459.62235 Cai, T. Tony; Guntuboyina, Adityanand; Wei, Yuting	2	2018
Confidence intervals for high-dimensional linear regression: minimax rates and adaptivity. Zbl 1371.62045 Cai, T. Tony; Guo, Zijian	59	2017
Computational and statistical boundaries for submatrix localization in a large noisy matrix. Zbl 1392.62017 Cai, T. Tony; Liang, Tengyuan; Rakhlin, Alexander	15	2017
Optimal screening and discovery of sparse signals with applications to multistage high throughput studies. Zbl 1414.62042 Cai, T. Tony; Sun, Wenguang	5	2017
Optimal detection of weak positive latent dependence between two sequences of multiple tests. Zbl 1397.62266 Zhao, Sihai Dave; Cai, T. Tony; Li, Hongzhe	4	2017
Estimating sparse precision matrix: optimal rates of convergence and adaptive estimation. Zbl 1341.62115 Cai, T. Tony; Liu, Weidong; Zhou, Harrison H.	73	2016
Estimating structured high-dimensional covariance and precision matrices: optimal rates and adaptive estimation. Zbl 1331.62272 Cai, T. Tony; Ren, Zhao; Zhou, Harrison H.	67	2016
Optimal rates of convergence for noisy sparse phase retrieval via thresholded Wirtinger flow. Zbl 1349.62019 Cai, T. Tony; Li, Xiaodong; Ma, Zongming	32	2016
Joint estimation of multiple high-dimensional precision matrices. Zbl 1356.62066 Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun	24	2016
Matrix completion via max-norm constrained optimization. Zbl 1342.62091 Cai, T. Tony; Zhou, Wen-Xin	21	2016
Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data. Zbl 1347.62088 Cai, T. Tony; Zhang, Anru	17	2016
Optimal large-scale quantum state tomography with Pauli measurements. Zbl 1341.62116 Cai, Tony; Kim, Donggyu; Wang, Yazhen; Yuan, Ming; Zhou, Harrison H.	12	2016
Inference for high-dimensional differential correlation matrices. Zbl 1328.62328 Cai, T. Tony; Zhang, Anru	9	2016
Geometric inference for general high-dimensional linear inverse problems. Zbl 1357.62235 Cai, T. Tony; Liang, Tengyuan; Rakhlin, Alexander	7	2016
Discussion of “Influential features PCA for high dimensional clustering”. Zbl 1360.62316 Cai, T. Tony; Zhang, Linjun	1	2016
Rejoinder of “Estimating structured high-dimensional covariance and precision matrices: optimal rates and adaptive estimation”. Zbl 1331.62273 Cai, T. Tony; Ren, Zhao; Zhou, Harrison H.	1	2016
Global testing against sparse alternatives in time-frequency analysis. Zbl 1359.62032 Cai, T. Tony; Eldar, Yonina C.; Li, Xiaodong	1	2016
Optimal estimation and rank detection for sparse spiked covariance matrices. Zbl 1314.62130 Cai, Tony; Ma, Zongming; Wu, Yihong	60	2015
False discovery control in large-scale spatial multiple testing. Zbl 1414.62043 Sun, Wenguang; Reich, Brian J.; Cai, T. Tony; Guindani, Michele; Schwartzman, Armin	43	2015
Testing differential networks with applications to the detection of gene-gene interactions. Zbl 1452.62392 Xia, Yin; Cai, Tianxi; Cai, T. Tony	39	2015
Robust and computationally feasible community detection in the presence of arbitrary outlier nodes. Zbl 1328.62381 Cai, T. Tony; Li, Xiaodong	39	2015
ROP: matrix recovery via rank-one projections. Zbl 1308.62120 Cai, T. Tony; Zhang, Anru	27	2015
Law of log determinant of sample covariance matrix and optimal estimation of differential entropy for high-dimensional Gaussian distributions. Zbl 1329.62255 Cai, T. Tony; Liang, Tengyuan; Zhou, Harrison H.	17	2015
A framework for estimation of convex functions. Zbl 1534.62033 Cai, T. Tony; Low, Mark G.	14	2015
Two-sample test of high dimensional means under dependence. Zbl 07555454 Cai, T. Tony; Liu, Weidong; Xia, Yin	118	2014
Sparse representation of a polytope and recovery in sparse signals and low-rank matrices. Zbl 1364.94114 Cai, T. Tony; Zhang, Anru	101	2014
High-dimensional sparse MANOVA. Zbl 1298.62090 Cai, T. Tony; Xia, Yin	32	2014
Direct estimation of differential networks. Zbl 1452.62865 Zhao, Sihai Dave; Cai, T. Tony; Li, Hongzhe	25	2014
Optimal detection of sparse mixtures against a given null distribution. Zbl 1360.94108 Cai, Tony T.; Wu, Yihong	24	2014
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093 Cai, T. Tony; Low, Mark; Ma, Zongming	15	2014
More powerful genetic association testing via a new statistical framework for integrative genomics. Zbl 1393.62115 Zhao, Sihai D.; Cai, T. Tony; Li, Hongzhe	7	2014
Discussion: “A significance test for the lasso”. Zbl 1305.62250 Cai, T. Tony; Yuan, Ming	1	2014
Sparse PCA: optimal rates and adaptive estimation. Zbl 1288.62099 Cai, T. Tony; Ma, Zongming; Wu, Yihong	98	2013
Two-sample covariance matrix testing and support recovery in high-dimensional and sparse settings. Zbl 06158341 Cai, Tony; Liu, Weidong; Xia, Yin	98	2013
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021 Cai, T. Tony; Zhang, Anru	74	2013
Optimal hypothesis testing for high dimensional covariance matrices. Zbl 1281.62140 Cai, T. Tony; Ma, Zongming	57	2013
Covariate-adjusted precision matrix estimation with an application in genetical genomics. Zbl 1284.62648 Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun	43	2013
Distributions of angles in random packing on spheres. Zbl 1318.60017 Cai, Tony; Fan, Jianqing; Jiang, Tiefeng	34	2013
Optimal rates of convergence for estimating Toeplitz covariance matrices. Zbl 06176807 Cai, T. Tony; Ren, Zhao; Zhou, Harrison H.	24	2013
A max-norm constrained minimization approach to 1-bit matrix completion. Zbl 1318.62172 Cai, Tony; Zhou, Wen-Xin	21	2013
Compressed sensing and affine rank minimization under restricted isometry. Zbl 1393.94185 Cai, T. Tony; Zhang, Anru	19	2013
Simultaneous discovery of rare and common segment variants. Zbl 1284.62658 Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe	14	2013
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066 Cai, T. Tony; Low, Mark G.; Xia, Yin	13	2013
Minimax and adaptive prediction for functional linear regression. Zbl 1443.62196 Cai, T. Tony; Yuan, Ming	93	2012
Optimal rates of convergence for sparse covariance matrix estimation. Zbl 1373.62247 Cai, T. Tony; Zhou, Harrison H.	86	2012
Minimax estimation of large covariance matrices under \(\ell_1\)-norm. Zbl 1266.62036 Cai, T. Tony; Zhou, Harrison H.	47	2012
Adaptive covariance matrix estimation through block thresholding. Zbl 1257.62060 Cai, T. Tony; Yuan, Ming	46	2012
Phase transition in limiting distributions of coherence of high-dimensional random matrices. Zbl 1352.60006 Cai, T. Tony; Jiang, Tiefeng	19	2012
Minimax and adaptive inference in nonparametric function estimation. Zbl 1330.62059 Cai, T. Tony	9	2012
...and 66 more Documents

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Cited by 4,423 Authors

103	Cai, Tianwen
40	Fan, Jianqing
29	Lian, Heng
27	Zhou, Harrison H.
26	Liu, Han
23	Li, Song
21	Li, Hongzhe
20	Chesneau, Christophe
19	Brown, Lawrence David
18	Chen, Wengu
16	Tsybakov, Alexandre B.
16	Xia, Yin
15	Li, Lexin
15	Low, Mark G.
15	Zheng, Shurong
14	Arias-Castro, Ery
14	Jiang, Tiefeng
14	Mai, Qing
14	Munk, Axel
14	Tong, Tiejun
14	Xue, Lingzhou
14	Zhang, Xinsheng
14	Zhang, Zhongzhan
14	Zhu, Lixing
13	Bai, Zhi-Dong
13	Li, Runze
13	Verzelen, Nicolas
13	Yu, Ping
13	Zhang, Riquan
12	Bodnar, Taras
12	Du, Jiang
12	Gao, Chao
12	He, Yong
12	Jin, Jiashun
12	Liu, Yufeng
12	Ren, Zhao
11	Bühlmann, Peter
11	Butucea, Cristina
11	Carpentier, Alexandra
11	Efromovich, Sam
11	Ghosal, Subhashis
11	Hall, Peter Gavin
11	Krishnamoorthy, Kalimuthu
11	Lee, Kyoungjae
11	Lim, Johan
11	Nickl, Richard
11	Samworth, Richard J.
11	Schmidt-Hieber, Johannes
11	Van der Vaart, Adrianus Willem
11	Xu, Zhiqiang
11	Zhu, Hongtu
10	Chen, Yuxin
10	Feng, Long
10	Ge, HuanMin
10	Guo, Zijian
10	Hu, Jiang
10	Kim, Donggyu
10	Li, Linyuan
10	Müller, Hans-Georg
10	Roquain, Étienne
10	Sun, Wenguang
10	Wang, Yazhen
10	Yao, Fang
10	Yuan, Ming
10	Zhang, Anru
10	Zhang, Anru R.
10	Zhao, Haibing
9	Chen, Songxi
9	Claeskens, Gerda
9	Dalalyan, Arnak S.
9	Dette, Holger
9	Habiger, Joshua D.
9	Jiang, Binyan
9	Klopp, Olga
9	Kolar, Mladen
9	Kong, Lingchen
9	Kong, Linglong
9	Leng, Chenlei
9	Li, Yehua
9	Lin, Hongmei
9	Ma, Zongming
9	Morettin, Pedro Alberto
9	Pan, Guangming
9	Parolya, Nestor R.
9	Paul, Debashis
9	Rauhut, Holger
9	Shang, Han Lin
9	Van de Geer, Sara Anna
9	Wang, Jianjun
9	Wang, Zhaojun
9	Wu, Yihong
9	Zhang, Cun-Hui
9	Zhu, Zhongyi
9	Zou, Changliang
9	Zou, Hui
8	Alquier, Pierre
8	Doosti, Hassan
8	Fadili, Jalal M.
8	Levina, Elizaveta
8	Li, Gaorong
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Cited in 308 Serials

317	The Annals of Statistics
176	Electronic Journal of Statistics
171	Journal of the American Statistical Association
163	Journal of Multivariate Analysis
127	Computational Statistics and Data Analysis
104	Bernoulli
99	Journal of Statistical Planning and Inference
81	Communications in Statistics. Theory and Methods
75	Statistica Sinica
65	Journal of Machine Learning Research (JMLR)
61	Biometrics
58	Statistics & Probability Letters
49	Journal of Econometrics
45	Applied and Computational Harmonic Analysis
45	The Annals of Applied Statistics
44	Statistical Science
42	Test
37	Journal of Statistical Computation and Simulation
37	Journal of the Korean Statistical Society
36	Communications in Statistics. Simulation and Computation
34	Journal of Nonparametric Statistics
33	Journal of Applied Statistics
33	Stat
32	Computational Statistics
32	Journal of Computational and Graphical Statistics
30	Scandinavian Journal of Statistics
27	Annals of the Institute of Statistical Mathematics
24	Statistical Papers
23	The Canadian Journal of Statistics
23	Statistics and Computing
21	Metrika
21	Statistics
21	Science China. Mathematics
17	Inverse Problems
17	Journal of Computational and Applied Mathematics
16	Probability Theory and Related Fields
15	Wiley Interdisciplinary Reviews. WIREs Computational Statistics
15	Bayesian Analysis
14	International Journal of Wavelets, Multiresolution and Information Processing
13	The American Statistician
13	Acta Mathematica Sinica. English Series
13	Sankhyā. Series A
13	Random Matrices: Theory and Applications
12	Journal of Statistical Theory and Practice
12	SIAM Journal on Imaging Sciences
11	Linear Algebra and its Applications
11	Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
11	European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
11	Australian & New Zealand Journal of Statistics
11	Journal of the Royal Statistical Society. Series B. Statistical Methodology
11	Journal of Systems Science and Complexity
11	Statistical Theory and Related Fields
11	SIAM Journal on Mathematics of Data Science
10	International Statistical Review
10	Journal of Complexity
10	The Journal of Fourier Analysis and Applications
10	Statistical Analysis and Data Mining
9	Biometrical Journal
9	Mathematical Programming. Series A. Series B
8	Journal of Time Series Analysis
8	SIAM Journal on Matrix Analysis and Applications
8	Analysis and Applications (Singapore)
7	Psychometrika
7	Econometrica
7	Machine Learning
7	Stochastic Processes and their Applications
7	SIAM Journal on Scientific Computing
7	Mathematical Problems in Engineering
7	Journal of Inequalities and Applications
7	Statistical Inference for Stochastic Processes
7	Statistical Methodology
7	AStA. Advances in Statistical Analysis
7	Mathematical Statistics and Learning
6	Applied Mathematics and Computation
6	Automatica
6	Circuits, Systems, and Signal Processing
6	The Annals of Applied Probability
6	Foundations of Computational Mathematics
6	Statistics Surveys
6	Journal of Business and Economic Statistics
6	Sankhyā. Series B
6	Information and Inference
5	Communications on Pure and Applied Mathematics
5	Mathematical Methods in the Applied Sciences
5	Sequential Analysis
5	International Journal of Approximate Reasoning
5	Mathematical Methods of Statistics
5	Methodology and Computing in Applied Probability
5	Econometric Theory
5	Statistical Modelling
5	Inverse Problems and Imaging
4	Information Sciences
4	Journal of Approximation Theory
4	Naval Research Logistics
4	Acta Mathematicae Applicatae Sinica. English Series
4	Journal of Scientific Computing
4	European Journal of Operational Research
4	SIAM Journal on Optimization
4	Computational Optimization and Applications
4	Applied Mathematics. Series B (English Edition)
...and 208 more Serials

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Cited in 47 Fields

2,714	Statistics (62-XX)
334	Numerical analysis (65-XX)
262	Probability theory and stochastic processes (60-XX)
254	Information and communication theory, circuits (94-XX)
186	Operations research, mathematical programming (90-XX)
185	Computer science (68-XX)
138	Linear and multilinear algebra; matrix theory (15-XX)
124	Harmonic analysis on Euclidean spaces (42-XX)
81	Biology and other natural sciences (92-XX)
66	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
44	Functional analysis (46-XX)
41	Combinatorics (05-XX)
22	Approximations and expansions (41-XX)
20	Operator theory (47-XX)
20	Systems theory; control (93-XX)
13	Quantum theory (81-XX)
11	Calculus of variations and optimal control; optimization (49-XX)
11	Convex and discrete geometry (52-XX)
6	Dynamical systems and ergodic theory (37-XX)
5	General and overarching topics; collections (00-XX)
5	Differential geometry (53-XX)
5	Statistical mechanics, structure of matter (82-XX)
4	Partial differential equations (35-XX)
4	Fluid mechanics (76-XX)
4	Optics, electromagnetic theory (78-XX)
4	Geophysics (86-XX)
3	Functions of a complex variable (30-XX)
3	Astronomy and astrophysics (85-XX)
2	Order, lattices, ordered algebraic structures (06-XX)
2	Commutative algebra (13-XX)
2	Algebraic geometry (14-XX)
2	Associative rings and algebras (16-XX)
2	Topological groups, Lie groups (22-XX)
2	Special functions (33-XX)
2	Ordinary differential equations (34-XX)
2	Integral equations (45-XX)
2	Mechanics of deformable solids (74-XX)
2	Relativity and gravitational theory (83-XX)
1	History and biography (01-XX)
1	Mathematical logic and foundations (03-XX)
1	Number theory (11-XX)
1	Measure and integration (28-XX)
1	Sequences, series, summability (40-XX)
1	Abstract harmonic analysis (43-XX)
1	Algebraic topology (55-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Mathematics education (97-XX)

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