## Cai, Tony Tony

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 Author ID: cai.tony-tony Published as: Cai, T. Tony; Cai, Tony; Cai, Tony Tony; Cai, Tony T.
 Documents Indexed: 152 Publications since 1998 5 Contributions as Editor Co-Authors: 57 Co-Authors with 129 Joint Publications 1,926 Co-Co-Authors
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### Co-Authors

 11 single-authored 17 Low, Mark G. 16 Zhou, Harrison H. 14 Li, Hongzhe 12 Brown, Lawrence David 8 Liu, Weidong 8 Sun, Wenguang 8 Wang, Lie 8 Xia, Yin 8 Zhang, Anru 7 Zhang, Linjun 6 Guo, Zijian 6 Yuan, Ming 5 Ma, Zongming 5 Xie, Jichun 4 Cai, Tianxi 4 Jeng, X. Jessie 4 Jiang, Tiefeng 4 Jin, Jiashun 4 Liang, Tengyuan 4 Xu, Guangwu 4 Zhao, Sihai Dave 3 Bühlmann, Peter 3 DasGupta, Anirban 3 Li, Xiaodong 3 Ma, Rong 3 Rakhlin, Alexander 3 Ren, Zhao 3 Wang, Yazhen 3 Wu, Yihong 2 Kang, Hyunseung 2 Kim, Donggyu 2 Munk, Axel 2 Small, Dylan S. 2 Wei, Hongji 2 Zhang, Anru R. 2 Zhang, Cun-Hui 2 Zhao, Linda H. 2 Zhou, Wen-Xin 1 Basu, Pallavi 1 Berger, James Orvis 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 Lee, Thomas C. M. 1 Li, Yingying 1 Liao, Katherine P. 1 Luo, Xi 1 Ma, Jing 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 Tan, Xin Lu 1 Wang, Shulei 1 Wang, Wanjie 1 Wang, Weinan 1 Wang, Yichen 1 Wei, Yuting 1 Wolfe, Patrick J. 1 Xiang, Dongdong 1 Yu, Bin 1 Zhang, Ren 1 Zhao, Linda 1 Zheng, Xinghua 1 Zhou, Huibin 1 Zhu, Ji 1 Zhu, Lixing
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### Serials

 54 The Annals of Statistics 15 Journal of the American Statistical Association 15 Statistica Sinica 10 Journal of Multivariate Analysis 9 Biometrika 9 Journal of the Royal Statistical Society. Series B. Statistical Methodology 6 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 Journal of Econometrics 2 IEEE Transactions on Signal Processing 2 Journal of Nonparametric Statistics 2 Statistics and Its Interface 1 Biometrics 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
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### Fields

 145 Statistics (62-XX) 20 Numerical analysis (65-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Information and communication theory, circuits (94-XX) 10 Operations research, mathematical programming (90-XX) 9 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 6 Functional analysis (46-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 General and overarching topics; collections (00-XX) 3 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 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

136 Publications have been cited 3,422 times in 1,703 Documents Cited by Year
Prediction in functional linear regression. Zbl 1106.62036
Cai, T. Tony; Hall, Peter
2006
A constrained $$\ell _{1}$$ minimization approach to sparse precision matrix estimation. Zbl 1232.62087
Cai, Tony; Liu, Weidong; Luo, Xi
2011
Adaptive thresholding for sparse covariance matrix estimation. Zbl 1232.62086
Cai, Tony; Liu, Weidong
2011
Optimal rates of convergence for covariance matrix estimation. Zbl 1202.62073
Cai, T. Tony; Zhang, Cun-Hui; Zhou, Harrison H.
2010
Adaptive wavelet estimation: A block thresholding and oracle inequality approach. Zbl 0954.62047
Cai, T. Tony
1999
Interval estimation for a binomial proportion. (With comments and a rejoinder). Zbl 1059.62533
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban
2001
A reproducing kernel Hilbert space approach to functional linear regression. Zbl 1204.62074
Yuan, Ming; Cai, T. Tony
2010
Oracle and adaptive compound decision rules for false discovery rate control. Zbl 1469.62318
Sun, Wenguang; Cai, T. Tony
2007
Sparse representation of a polytope and recovery in sparse signals and low-rank matrices. Zbl 1364.94114
Cai, T. Tony; Zhang, Anru
2014
Sparse PCA: optimal rates and adaptive estimation. Zbl 1288.62099
Cai, T. Tony; Ma, Zongming; Wu, Yihong
2013
A direct estimation approach to sparse linear discriminant analysis. Zbl 1233.62129
Cai, Tony; Liu, Weidong
2011
Optimal rates of convergence for sparse covariance matrix estimation. Zbl 1373.62247
Cai, T. Tony; Zhou, Harrison H.
2012
Confidence intervals for a binomial proportion and asymptotic expansions. Zbl 1012.62026
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban
2002
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
2011
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru
2013
Two-sample covariance matrix testing and support recovery in high-dimensional and sparse settings. Zbl 06158341
Cai, Tony; Liu, Weidong; Xia, Yin
2013
Estimating the null and the proportion of nonnull effects in large-scale multiple comparisons. Zbl 1172.62319
Jin, Jiashun; Cai, T. Tony
2007
Shifting inequality and recovery of sparse signals. Zbl 1392.94117
Cai, T. Tony; Wang, Lie; Xu, Guangwu
2010
Minimax and adaptive prediction for functional linear regression. Zbl 1443.62196
Cai, T. Tony; Yuan, Ming
2012
New bounds for restricted isometry constants. Zbl 1366.94181
Cai, T. Tony; Wang, Lie; Xu, Guangwu
2010
Estimating sparse precision matrix: optimal rates of convergence and adaptive estimation. Zbl 1341.62115
Cai, T. Tony; Liu, Weidong; Zhou, Harrison H.
2016
Large-scale multiple testing under dependence. Zbl 1248.62005
Sun, Wenguang; Cai, T. Tony
2009
Optimal estimation and rank detection for sparse spiked covariance matrices. Zbl 1314.62130
Cai, Tony; Ma, Zongming; Wu, Yihong
2015
Wavelet shrinkage for nonequispaced samples. Zbl 0929.62047
Cai, T. Tony; Brown, Lawrence D.
1998
Estimation and confidence sets for sparse normal mixtures. Zbl 1360.62113
Cai, T. Tony; Jin, Jiashun; Low, Mark G.
2007
Optimal hypothesis testing for high dimensional covariance matrices. Zbl 1281.62140
Cai, T. Tony; Ma, Zongming
2013
An adaptation theory for nonparametric confidence intervals. Zbl 1056.62060
Cai, T. Tony; Low, Mark G.
2004
On block thresholding in wavelet regression: Adaptivity, block size, and threshold level. Zbl 1004.62036
Cai, T. Tony
2002
Incorporating information on neighbouring coefficients into wavelet estimation. Zbl 1192.42020
Cai, T. Tony; Silverman, Bernard W.
2001
Cai, T. Tony; Low, Mark G.
2006
Effect of mean on variance function estimation in nonparametric regression. Zbl 1133.62033
Wang, Lie; Brown, Lawrence D.; Cai, T. Tony; Levine, Michael
2008
On recovery of sparse signals via $$\ell_1$$ minimization. Zbl 1367.94081
Cai, T. Tony; Xu, Guangwu; Zhang, Jun
2009
Orthogonal matching pursuit for sparse signal recovery with noise. Zbl 1365.94058
Cai, T. Tony; Wang, Lie
2011
Estimating structured high-dimensional covariance and precision matrices: optimal rates and adaptive estimation. Zbl 1331.62272
Cai, T. Tony; Ren, Zhao; Zhou, Harrison H.
2016
Asymptotic equivalence theory for nonparametric regression with random design. Zbl 1029.62044
Brown, Lawrence D.; Cai, T. Tony; Low, Mark G.; Zhang, Cun-Hui
2002
Adaptive covariance matrix estimation through block thresholding. Zbl 1257.62060
Cai, T. Tony; Yuan, Ming
2012
A data-driven block thresholding approach to wavelet estimation. Zbl 1162.62032
Cai, T. Tony; Zhou, Harrison H.
2009
Minimax estimation of large covariance matrices under $$\ell_1$$-norm. Zbl 1266.62036
Cai, T. Tony; Zhou, Harrison H.
2012
A difference based approach to the semiparametric partial linear model. Zbl 1329.62179
Wang, Lie; Brown, Lawrence D.; Cai, T. Tony
2011
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
2010
Optimal detection of heterogeneous and heteroscedastic mixtures. Zbl 1228.62020
Cai, T. Tony; Jeng, X. Jessie; Jin, Jiashun
2011
Confidence intervals for high-dimensional linear regression: minimax rates and adaptivity. Zbl 1371.62045
Cai, T. Tony; Guo, Zijian
2017
Simultaneous testing of grouped hypotheses: finding needles in multiple haystacks. Zbl 1205.62005
Cai, T. Tony; Sun, Wenguang
2009
Cai, T. Tony; Low, Mark G.
2005
Stable recovery of sparse signals and an oracle inequality. Zbl 1366.94085
Cai, Tony Tony; Wang, Lie; Xu, Guangwu
2010
Adaptive variance function estimation in heteroscedastic nonparametric regression. Zbl 1148.62021
Cai, T. Tony; Wang, Lie
2008
Wavelet estimation for samples with random uniform design. Zbl 0940.62037
Cai, T. Tony; Brown, Lawrence D.
1999
Robust and computationally feasible community detection in the presence of arbitrary outlier nodes. Zbl 1328.62381
Cai, T. Tony; Li, Xiaodong
2015
Cai, T. Tony; Low, Mark G.
2006
Distributions of angles in random packing on spheres. Zbl 1318.60017
Cai, Tony; Fan, Jianqing; Jiang, Tiefeng
2013
Covariate-adjusted precision matrix estimation with an application in genetical genomics. Zbl 1284.62648
Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun
2013
ROP: matrix recovery via rank-one projections. Zbl 1308.62120
Cai, T. Tony; Zhang, Anru
2015
One-sided confidence intervals in discrete distributions. Zbl 1062.62053
Cai, T. Tony
2005
High-dimensional sparse MANOVA. Zbl 1298.62090
Cai, T. Tony; Xia, Yin
2014
Optimal estimation of the mean function based on discretely sampled functional data: phase transition. Zbl 1231.62040
Cai, T. Tony; Yuan, Ming
2011
Testing differential networks with applications to the detection of gene-gene interactions. Zbl 1452.62392
Xia, Yin; Cai, Tianxi; Cai, T. Tony
2015
Optimal rates of convergence for noisy sparse phase retrieval via thresholded Wirtinger flow. Zbl 1349.62019
Cai, T. Tony; Li, Xiaodong; Ma, Zongming
2016
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101
Cai, T. Tony; Low, Mark G.
2011
Optimal detection of sparse mixtures against a given null distribution. Zbl 1360.94108
Cai, Tony T.; Wu, Yihong
2014
Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics. Zbl 1395.62122
Cai, T. Tony; Zhang, Anru
2018
Minimax estimation of linear functionals over nonconvex parameter spaces. Zbl 1048.62054
Cai, T. Tony; Low, Mark G.
2004
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
2010
Block thresholding for density estimation: local and global adaptivity. Zbl 1064.62036
Chicken, Eric; Cai, T. Tony
2005
Variance function estimation in multivariate nonparametric regression with fixed design. Zbl 1151.62029
Cai, T. Tony; Levine, Michael; Wang, Lie
2009
Optimal sparse segment identification with application in copy number variation analysis. Zbl 1390.62170
Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe
2010
Optimal rates of convergence for estimating Toeplitz covariance matrices. Zbl 06176807
Cai, T. Tony; Ren, Zhao; Zhou, Harrison H.
2013
Matrix completion via max-norm constrained optimization. Zbl 1342.62091
Cai, T. Tony; Zhou, Wen-Xin
2016
Robust nonparametric estimation via wavelet median regression. Zbl 1148.62019
Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H.
2008
A max-norm constrained minimization approach to 1-bit matrix completion. Zbl 1318.62172
Cai, Tony; Zhou, Wen-Xin
2013
Interval estimation in exponential families. Zbl 1017.62027
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban
2003
On adaptive estimation of linear functionals. Zbl 1086.62031
Cai, T. Tony; Low, Mark G.
2005
Phase transition in limiting distributions of coherence of high-dimensional random matrices. Zbl 1352.60006
Cai, T. Tony; Jiang, Tiefeng
2012
False discovery control in large-scale spatial multiple testing. Zbl 1414.62043
Sun, Wenguang; Reich, Brian J.; Cai, T. Tony; Guindani, Michele; Schwartzman, Armin
2015
Compressed sensing and affine rank minimization under restricted isometry. Zbl 1393.94185
Cai, T. Tony; Zhang, Anru
2013
On adaptive wavelet estimation of a derivative and other related linear inverse problems. Zbl 1016.62025
Cai, T. Tony
2002
Rates of convergence and adaptation over Besov spaces under pointwise risk. Zbl 1046.62046
Cai, T. Tony
2003
Nonparametric regression in exponential families. Zbl 1202.62050
Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H.
2010
Accuracy assessment for high-dimensional linear regression. Zbl 1403.62131
Cai, T. Tony; Guo, Zijian
2018
A note on nonparametric estimation of linear functionals. Zbl 1105.62325
Cai, T. Tony; Low, Mark G.
2003
Direct estimation of differential networks. Zbl 1452.62865
Zhao, Sihai Dave; Cai, T. Tony; Li, Hongzhe
2014
Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data. Zbl 1347.62088
Cai, T. Tony; Zhang, Anru
2016
On information pooling, adaptability and superefficiency in nonparametric function estimation. Zbl 1148.62020
Cai, T. Tony
2008
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093
Cai, T. Tony; Low, Mark; Ma, Zongming
2014
A framework for estimation of convex functions. Zbl 06503803
Cai, T. Tony
2015
Joint estimation of multiple high-dimensional precision matrices. Zbl 1356.62066
Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun
2016
Trade-offs between global and local risks in nonparametric function estimation. Zbl 1111.62029
Cai, T. Tony; Low, Mark G.; Zhao, Linda H.
2007
Simultaneous discovery of rare and common segment variants. Zbl 1284.62658
Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe
2013
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.
2015
High-dimensional Gaussian copula regression: adaptive estimation and statistical inference. Zbl 1390.62099
Cai, T. Tony; Zhang, Linjun
2018
Adaptive estimation of linear functionals under different performance measures. Zbl 1063.62045
Cai, T. Tony; Low, Mark G.
2005
Covariate-assisted ranking and screening for large-scale two-sample inference. Zbl 1420.62032
Cai, T. Tony; Sun, Wenguang; Wang, Weinan
2019
CHIME: clustering of high-dimensional Gaussian mixtures with EM algorithm and its optimality. Zbl 1428.62182
Cai, T. Tony; Ma, Jing; Zhang, Linjun
2019
Computational and statistical boundaries for submatrix localization in a large noisy matrix. Zbl 1392.62017
Cai, T. Tony; Liang, Tengyuan; Rakhlin, Alexander
2017
Optimal large-scale quantum state tomography with Pauli measurements. Zbl 1341.62116
Cai, Tony; Kim, Donggyu; Wang, Yazhen; Yuan, Ming; Zhou, Harrison H.
2016
Sharp adaptive estimation by a blockwise method. Zbl 1172.62024
Cai, T. Tony; Low, Mark G.; Zhao, Linda H.
2009
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.
2018
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin
2013
Asymptotic equivalence and adaptive estimation for robust nonparametric regression. Zbl 1191.62070
Cai, T. Tony; Zhou, Harrison H.
2009
Minimax and adaptive inference in nonparametric function estimation. Zbl 1330.62059
Cai, T. Tony
2012
Limiting laws for divergent spiked eigenvalues and largest nonspiked eigenvalue of sample covariance matrices. Zbl 1456.62113
Cai, T. Tony; Han, Xiao; Pan, Guangming
2020
Heteroskedastic PCA: algorithm, optimality, and applications. Zbl 07496869
Zhang, Anru R.; Cai, T. Tony; Wu, Yihong
2022
Transfer learning for nonparametric classification: minimax rate and adaptive classifier. Zbl 1466.62351
Cai, T. Tony; Wei, Hongji
2021
Optimal estimation of bacterial growth rates based on a permuted monotone matrix. Zbl 07459723
Ma, Rong; Cai, T. Tony; Li, Hongzhe
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
2020
High-dimensional minimum variance portfolio estimation based on high-frequency data. Zbl 1456.62242
Cai, T. Tony; Hu, Jianchang; Li, Yingying; Zheng, Xinghua
2020
Statistical and computational limits for sparse matrix detection. Zbl 1453.62285
Cai, T. Tony; Wu, Yihong
2020
Covariate-assisted ranking and screening for large-scale two-sample inference. Zbl 1420.62032
Cai, T. Tony; Sun, Wenguang; Wang, Weinan
2019
CHIME: clustering of high-dimensional Gaussian mixtures with EM algorithm and its optimality. Zbl 1428.62182
Cai, T. Tony; Ma, Jing; Zhang, Linjun
2019
High dimensional linear discriminant analysis: optimality, adaptive algorithm and missing data. Zbl 1428.62267
Cai, T. Tony; Zhang, Linjun
2019
Semi-supervised inference: general theory and estimation of means. Zbl 1436.62083
Zhang, Anru; Brown, Lawrence D.; Cai, T. Tony
2019
Optimal estimation of genetic relatedness in high-dimensional linear models. Zbl 1478.62193
Guo, Zijian; Wang, Wanjie; Cai, T. Tony; Li, Hongzhe
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.
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
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
2019
Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics. Zbl 1395.62122
Cai, T. Tony; Zhang, Anru
2018
Accuracy assessment for high-dimensional linear regression. Zbl 1403.62131
Cai, T. Tony; Guo, Zijian
2018
High-dimensional Gaussian copula regression: adaptive estimation and statistical inference. Zbl 1390.62099
Cai, T. Tony; Zhang, Linjun
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.
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
2018
Weighted false discovery rate control in large-scale multiple testing. Zbl 1402.62050
Basu, Pallavi; Cai, T. Tony; Das, Kiranmoy; Sun, Wenguang
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
2018
Adaptive estimation of planar convex sets. Zbl 1459.62235
Cai, T. Tony; Guntuboyina, Adityanand; Wei, Yuting
2018
Testing endogeneity with high dimensional covariates. Zbl 1452.62913
Guo, Zijian; Kang, Hyunseung; Cai, T. Tony; Small, Dylan S.
2018
Adaptive functional linear regression via functional principal component analysis and block thresholding. Zbl 1406.62062
Cai, T. Tony; Zhang, Linjun; Zhou, Harrison H.
2018
Joint testing and false discovery rate control in high-dimensional multivariate regression. Zbl 07072411
Xia, Yin; Cai, T. Tony; Li, Hongzhe
2018
Confidence intervals for high-dimensional linear regression: minimax rates and adaptivity. Zbl 1371.62045
Cai, T. Tony; Guo, Zijian
2017
Computational and statistical boundaries for submatrix localization in a large noisy matrix. Zbl 1392.62017
Cai, T. Tony; Liang, Tengyuan; Rakhlin, Alexander
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
2017
Optimal screening and discovery of sparse signals with applications to multistage high throughput studies. Zbl 1414.62042
Cai, T. Tony; Sun, Wenguang
2017
Estimating sparse precision matrix: optimal rates of convergence and adaptive estimation. Zbl 1341.62115
Cai, T. Tony; Liu, Weidong; Zhou, Harrison H.
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.
2016
Optimal rates of convergence for noisy sparse phase retrieval via thresholded Wirtinger flow. Zbl 1349.62019
Cai, T. Tony; Li, Xiaodong; Ma, Zongming
2016
Matrix completion via max-norm constrained optimization. Zbl 1342.62091
Cai, T. Tony; Zhou, Wen-Xin
2016
Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data. Zbl 1347.62088
Cai, T. Tony; Zhang, Anru
2016
Joint estimation of multiple high-dimensional precision matrices. Zbl 1356.62066
Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun
2016
Optimal large-scale quantum state tomography with Pauli measurements. Zbl 1341.62116
Cai, Tony; Kim, Donggyu; Wang, Yazhen; Yuan, Ming; Zhou, Harrison H.
2016
Geometric inference for general high-dimensional linear inverse problems. Zbl 1357.62235
Cai, T. Tony; Liang, Tengyuan; Rakhlin, Alexander
2016
Inference for high-dimensional differential correlation matrices. Zbl 1328.62328
Cai, T. Tony; Zhang, Anru
2016
Global testing against sparse alternatives in time-frequency analysis. Zbl 1359.62032
Cai, T. Tony; Eldar, Yonina C.; Li, Xiaodong
2016
Discussion of “Influential features PCA for high dimensional clustering”. Zbl 1360.62316
Cai, T. Tony; Zhang, Linjun
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.
2016
Optimal estimation and rank detection for sparse spiked covariance matrices. Zbl 1314.62130
Cai, Tony; Ma, Zongming; Wu, Yihong
2015
Robust and computationally feasible community detection in the presence of arbitrary outlier nodes. Zbl 1328.62381
Cai, T. Tony; Li, Xiaodong
2015
ROP: matrix recovery via rank-one projections. Zbl 1308.62120
Cai, T. Tony; Zhang, Anru
2015
Testing differential networks with applications to the detection of gene-gene interactions. Zbl 1452.62392
Xia, Yin; Cai, Tianxi; Cai, T. Tony
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
2015
A framework for estimation of convex functions. Zbl 06503803
Cai, T. Tony
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.
2015
Sparse representation of a polytope and recovery in sparse signals and low-rank matrices. Zbl 1364.94114
Cai, T. Tony; Zhang, Anru
2014
High-dimensional sparse MANOVA. Zbl 1298.62090
Cai, T. Tony; Xia, Yin
2014
Optimal detection of sparse mixtures against a given null distribution. Zbl 1360.94108
Cai, Tony T.; Wu, Yihong
2014
Direct estimation of differential networks. Zbl 1452.62865
Zhao, Sihai Dave; Cai, T. Tony; Li, Hongzhe
2014
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093
Cai, T. Tony; Low, Mark; Ma, Zongming
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
2014
Discussion: “A significance test for the lasso”. Zbl 1305.62250
Cai, T. Tony; Yuan, Ming
2014
Sparse PCA: optimal rates and adaptive estimation. Zbl 1288.62099
Cai, T. Tony; Ma, Zongming; Wu, Yihong
2013
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru
2013
Two-sample covariance matrix testing and support recovery in high-dimensional and sparse settings. Zbl 06158341
Cai, Tony; Liu, Weidong; Xia, Yin
2013
Optimal hypothesis testing for high dimensional covariance matrices. Zbl 1281.62140
Cai, T. Tony; Ma, Zongming
2013
Distributions of angles in random packing on spheres. Zbl 1318.60017
Cai, Tony; Fan, Jianqing; Jiang, Tiefeng
2013
Covariate-adjusted precision matrix estimation with an application in genetical genomics. Zbl 1284.62648
Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun
2013
Optimal rates of convergence for estimating Toeplitz covariance matrices. Zbl 06176807
Cai, T. Tony; Ren, Zhao; Zhou, Harrison H.
2013
A max-norm constrained minimization approach to 1-bit matrix completion. Zbl 1318.62172
Cai, Tony; Zhou, Wen-Xin
2013
Compressed sensing and affine rank minimization under restricted isometry. Zbl 1393.94185
Cai, T. Tony; Zhang, Anru
2013
Simultaneous discovery of rare and common segment variants. Zbl 1284.62658
Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe
2013
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin
2013
Optimal rates of convergence for sparse covariance matrix estimation. Zbl 1373.62247
Cai, T. Tony; Zhou, Harrison H.
2012
Minimax and adaptive prediction for functional linear regression. Zbl 1443.62196
Cai, T. Tony; Yuan, Ming
2012
Adaptive covariance matrix estimation through block thresholding. Zbl 1257.62060
Cai, T. Tony; Yuan, Ming
2012
Minimax estimation of large covariance matrices under $$\ell_1$$-norm. Zbl 1266.62036
Cai, T. Tony; Zhou, Harrison H.
2012
Phase transition in limiting distributions of coherence of high-dimensional random matrices. Zbl 1352.60006
Cai, T. Tony; Jiang, Tiefeng
2012
Minimax and adaptive inference in nonparametric function estimation. Zbl 1330.62059
Cai, T. Tony
2012
Robust detection and identification of sparse segments in ultrahigh dimensional data analysis. Zbl 1411.62314
Cai, T. Tony; Jeng, X. Jessie; Li, Hongzhe
2012
Rejoinder to “Minimax estimation of large covariance matrices under $$\ell_1$$-norm”. Zbl 1295.62056
Cai, T. Tony; Zhou, Harrison H.
2012
A constrained $$\ell _{1}$$ minimization approach to sparse precision matrix estimation. Zbl 1232.62087
Cai, Tony; Liu, Weidong; Luo, Xi
2011
Adaptive thresholding for sparse covariance matrix estimation. Zbl 1232.62086
Cai, Tony; Liu, Weidong
2011
A direct estimation approach to sparse linear discriminant analysis. Zbl 1233.62129
Cai, Tony; Liu, Weidong
2011
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
2011
Orthogonal matching pursuit for sparse signal recovery with noise. Zbl 1365.94058
Cai, T. Tony; Wang, Lie
2011
A difference based approach to the semiparametric partial linear model. Zbl 1329.62179
Wang, Lie; Brown, Lawrence D.; Cai, T. Tony
2011
Optimal detection of heterogeneous and heteroscedastic mixtures. Zbl 1228.62020
Cai, T. Tony; Jeng, X. Jessie; Jin, Jiashun
2011
Optimal estimation of the mean function based on discretely sampled functional data: phase transition. Zbl 1231.62040
Cai, T. Tony; Yuan, Ming
2011
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101
Cai, T. Tony; Low, Mark G.
2011
Optimal false discovery rate control for dependent data. Zbl 1245.62091
Xie, Jichun; Cai, T. Tony; Maris, John; Li, Hongzhe
2011
Sample size and power analysis for sparse signal recovery in genome-wide association studies. Zbl 1215.62118
Xie, Jichun; Cai, T. Tony; Li, Hongzhe
2011
High-dimensional data analysis. Zbl 1277.62032
2011
Optimal rates of convergence for covariance matrix estimation. Zbl 1202.62073
Cai, T. Tony; Zhang, Cun-Hui; Zhou, Harrison H.
2010
A reproducing kernel Hilbert space approach to functional linear regression. Zbl 1204.62074
Yuan, Ming; Cai, T. Tony
2010
Shifting inequality and recovery of sparse signals. Zbl 1392.94117
Cai, T. Tony; Wang, Lie; Xu, Guangwu
2010
New bounds for restricted isometry constants. Zbl 1366.94181
Cai, T. Tony; Wang, Lie; Xu, Guangwu
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
2010
Stable recovery of sparse signals and an oracle inequality. Zbl 1366.94085
Cai, Tony Tony; Wang, Lie; Xu, Guangwu
2010
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
2010
Optimal sparse segment identification with application in copy number variation analysis. Zbl 1390.62170
Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe
2010
Nonparametric regression in exponential families. Zbl 1202.62050
Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H.
2010
Sharp minimax estimation of the variance of Brownian motion corrupted with Gaussian noise. Zbl 05769953
Cai, T. Tony; Munk, A.; Schmidt-Hieber, J.
2010
Borrowing strength: Theory powering applications – a Festschrift for Lawrence D. Brown. Selected papers based on the presentations at the conference, Philadelphia, PA, USA, December 15–17, 2010. Zbl 1228.62004
2010
Large-scale multiple testing under dependence. Zbl 1248.62005
Sun, Wenguang; Cai, T. Tony
2009
On recovery of sparse signals via $$\ell_1$$ minimization. Zbl 1367.94081
Cai, T. Tony; Xu, Guangwu; Zhang, Jun
2009
A data-driven block thresholding approach to wavelet estimation. Zbl 1162.62032
Cai, T. Tony; Zhou, Harrison H.
2009
...and 36 more Documents
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### Cited by 2,527 Authors

 61 Cai, Tony Tony 29 Fan, Jianqing 24 Zhou, Harrison H. 23 Liu, Han 21 Li, Song 19 Lian, Heng 15 Brown, Lawrence David 14 Low, Mark G. 13 Arias-Castro, Ery 12 Gao, Chao 12 Jiang, Tiefeng 12 Tsybakov, Alexandre B. 12 Verzelen, Nicolas 12 Zhang, Zhongzhan 11 Nickl, Richard 10 Ghosal, Subhashis 10 Jin, Jiashun 10 Li, Hongzhe 10 Yu, Ping 10 Zhang, Xinsheng 9 Bai, Zhi-Dong 9 Bodnar, Taras 9 Dalalyan, Arnak S. 9 Ma, Zongming 9 Ren, Zhao 9 Schmidt-Hieber, Johannes 9 Van der Vaart, Adrianus Willem 9 Zheng, Shurong 8 Butucea, Cristina 8 Carpentier, Alexandra 8 Chen, Wengu 8 He, Yong 8 Klopp, Olga 8 Kong, Lingchen 8 Leng, Chenlei 8 Lim, Johan 8 Munk, Axel 8 Peng, Jigen 8 Wang, Jianjun 8 Wang, Yazhen 8 Xia, Yin 8 Zhang, Anru 8 Zhu, Lixing 8 Zou, Hui 7 Alquier, Pierre 7 Bühlmann, Peter 7 Chen, Songxi 7 Chen, Yuxin 7 Chen, Zehua 7 Du, Jiang 7 Habiger, Joshua D. 7 Jiang, Binyan 7 Lee, Kyoungjae 7 Morettin, Pedro Alberto 7 Roozbeh, Mahdi 7 Roquain, Étienne 7 Tong, Tiejun 7 Van de Geer, Sara Anna 7 Wang, Lie 7 Wang, Weichen 7 Wu, Wei Biao 7 Xue, Lingzhou 7 Yuan, Ming 7 Zhang, Anru R. 7 Zhao, Haibing 7 Zhou, Wen-Xin 6 Chesneau, Christophe 6 Han, Fang 6 Kim, Donggyu 6 Kolchinskiĭ, Vladimir I’ich 6 Li, Lexin 6 Li, Runze 6 Lin, Junhong 6 Liu, Yufeng 6 Pan, Guangming 6 Parolya, Nestor R. 6 Rauhut, Holger 6 Reiß, Markus 6 Sun, Wenguang 6 Zhang, Cun-Hui 6 Zhu, Zhongyi 5 Bradic, Jelena 5 Cai, Yun 5 Castillo, Ismaël 5 Cheng, Guang 5 Collier, Olivier 5 Efromovich, Sam 5 Fadili, Jalal M. 5 Fan, Yingying 5 Foucart, Simon 5 Gijbels, Irène 5 Hall, Peter Gavin 5 Hu, Jiang 5 Ingster, Yuriĭ Izmaĭlovich 5 Jeng, X. Jessie 5 Jirak, Moritz 5 Kolar, Mladen 5 Krahmer, Felix 5 Liao, Yuan 5 Lin, Lu ...and 2,427 more Authors
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### Cited in 224 Serials

 215 The Annals of Statistics 120 Electronic Journal of Statistics 106 Journal of Multivariate Analysis 73 Computational Statistics and Data Analysis 66 Bernoulli 64 Journal of Statistical Planning and Inference 60 Journal of the American Statistical Association 36 Statistical Science 35 Applied and Computational Harmonic Analysis 34 Statistics & Probability Letters 29 Journal of Econometrics 29 Journal of Machine Learning Research (JMLR) 28 Communications in Statistics. Theory and Methods 24 Journal of Statistical Computation and Simulation 24 Statistica Sinica 23 Journal of Applied Statistics 22 Test 22 Journal of the Korean Statistical Society 22 The Annals of Applied Statistics 20 Journal of Nonparametric Statistics 18 Computational Statistics 16 Probability Theory and Related Fields 15 Annals of the Institute of Statistical Mathematics 14 Science China. Mathematics 13 Scandinavian Journal of Statistics 13 Journal of Computational and Graphical Statistics 12 Metrika 12 Biometrics 11 Statistical Papers 11 Journal of the Royal Statistical Society. Series B. Statistical Methodology 10 Inverse Problems 10 Journal of Computational and Applied Mathematics 10 Communications in Statistics. Simulation and Computation 10 Linear Algebra and its Applications 9 Acta Mathematica Sinica. English Series 9 Statistics and Computing 8 Mathematical Programming. Series A. Series B 8 The Journal of Fourier Analysis and Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 8 Sankhyā. Series A 7 Statistics 7 Stochastic Processes and their Applications 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 International Journal of Wavelets, Multiresolution and Information Processing 7 SIAM Journal on Imaging Sciences 7 Random Matrices: Theory and Applications 7 Bayesian Analysis 7 SIAM Journal on Mathematics of Data Science 6 SIAM Journal on Scientific Computing 6 Mathematical Problems in Engineering 6 Statistical Methodology 6 Inverse Problems and Imaging 6 Journal of Statistical Theory and Practice 6 Statistics Surveys 6 Information and Inference 5 Journal of Complexity 5 SIAM Journal on Matrix Analysis and Applications 5 Machine Learning 5 Journal of Systems Science and Complexity 5 Analysis and Applications (Singapore) 4 Psychometrika 4 Applied Mathematics and Computation 4 International Journal of Approximate Reasoning 4 European Journal of Operational Research 4 Journal of Inequalities and Applications 4 Australian & New Zealand Journal of Statistics 4 Statistical Inference for Stochastic Processes 4 Foundations of Computational Mathematics 4 Statistical Analysis and Data Mining 4 AStA. Advances in Statistical Analysis 4 Sankhyā. Series B 4 Journal of the Operations Research Society of China 4 Mathematical Statistics and Learning 3 The Canadian Journal of Statistics 3 The Annals of Probability 3 Automatica 3 Biometrical Journal 3 Journal of Approximation Theory 3 Theoretical Computer Science 3 Circuits, Systems, and Signal Processing 3 Sequential Analysis 3 Journal of Theoretical Probability 3 Neural Computation 3 SIAM Journal on Optimization 3 Journal of Mathematical Imaging and Vision 3 Applied Mathematics. Series B (English Edition) 3 Abstract and Applied Analysis 3 Discrete Dynamics in Nature and Society 3 Methodology and Computing in Applied Probability 3 Econometric Theory 3 Brazilian Journal of Probability and Statistics 3 Journal of Applied Mathematics 3 Statistical Modelling 3 Statistical Applications in Genetics and Molecular Biology 3 Statistical Methods and Applications 3 Journal of Industrial and Management Optimization 3 Optimization Letters 2 Communications on Pure and Applied Mathematics 2 Problems of Information Transmission 2 Calcolo ...and 124 more Serials
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### Cited in 39 Fields

 1,424 Statistics (62-XX) 231 Numerical analysis (65-XX) 171 Information and communication theory, circuits (94-XX) 166 Probability theory and stochastic processes (60-XX) 113 Operations research, mathematical programming (90-XX) 89 Computer science (68-XX) 86 Linear and multilinear algebra; matrix theory (15-XX) 75 Harmonic analysis on Euclidean spaces (42-XX) 46 Biology and other natural sciences (92-XX) 28 Functional analysis (46-XX) 25 Combinatorics (05-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Approximations and expansions (41-XX) 14 Operator theory (47-XX) 13 Systems theory; control (93-XX) 8 Quantum theory (81-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 5 Differential geometry (53-XX) 4 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)