A constrained \(\ell _{1}\) minimization approach to sparse precision matrix estimation. Zbl 1232.62087
Cai, Tony; Liu, Weidong; Luo, Xi |
|
2011
|
Prediction in functional linear regression. Zbl 1106.62036
Cai, T. Tony; Hall, Peter |
|
2006
|
Adaptive thresholding for sparse covariance matrix estimation. Zbl 1232.62086
Cai, Tony; Liu, Weidong |
|
2011
|
Interval estimation for a binomial proportion. (With comments and a rejoinder). Zbl 1059.62533
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban |
|
2001
|
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
|
Adaptive wavelet estimation: A block thresholding and oracle inequality approach. Zbl 0954.62047
Cai, T. Tony |
|
1999
|
Two-sample test of high dimensional means under dependence. Zbl 07555454
Cai, T. Tony; Liu, Weidong; Xia, Yin |
|
2014
|
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
|
Two-sample covariance matrix testing and support recovery in high-dimensional and sparse settings. Zbl 06158341
Cai, Tony; Liu, Weidong; Xia, Yin |
|
2013
|
A direct estimation approach to sparse linear discriminant analysis. Zbl 1233.62129
Cai, Tony; Liu, Weidong |
|
2011
|
Minimax and adaptive prediction for functional linear regression. Zbl 1443.62196
Cai, T. Tony; Yuan, Ming |
|
2012
|
Optimal rates of convergence for sparse covariance matrix estimation. Zbl 1373.62247
Cai, T. Tony; Zhou, Harrison H. |
|
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 |
|
2011
|
Confidence intervals for a binomial proportion and asymptotic expansions. Zbl 1012.62026
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban |
|
2002
|
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru |
|
2013
|
Large-scale multiple testing under dependence. Zbl 1248.62005
Sun, Wenguang; Cai, T. Tony |
|
2009
|
Estimating sparse precision matrix: optimal rates of convergence and adaptive estimation. Zbl 1341.62115
Cai, T. Tony; Liu, Weidong; Zhou, Harrison H. |
|
2016
|
Estimating the null and the proportion of nonnull effects in large-scale multiple comparisons. Zbl 1172.62319
Jin, Jiashun; Cai, T. Tony |
|
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. |
|
2016
|
Optimal estimation and rank detection for sparse spiked covariance matrices. Zbl 1314.62130
Cai, Tony; Ma, Zongming; Wu, Yihong |
|
2015
|
Confidence intervals for high-dimensional linear regression: minimax rates and adaptivity. Zbl 1371.62045
Cai, T. Tony; Guo, Zijian |
|
2017
|
Optimal hypothesis testing for high dimensional covariance matrices. Zbl 1281.62140
Cai, T. Tony; Ma, Zongming |
|
2013
|
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
|
Orthogonal matching pursuit for sparse signal recovery with noise. Zbl 1365.94058
Cai, T. Tony; Wang, Lie |
|
2011
|
Estimation and confidence sets for sparse normal mixtures. Zbl 1360.62113
Cai, T. Tony; Jin, Jiashun; Low, Mark G. |
|
2007
|
Minimax estimation of large covariance matrices under \(\ell_1\)-norm. Zbl 1266.62036
Cai, T. Tony; Zhou, Harrison H. |
|
2012
|
An adaptation theory for nonparametric confidence intervals. Zbl 1056.62060
Cai, T. Tony; Low, Mark G. |
|
2004
|
Wavelet shrinkage for nonequispaced samples. Zbl 0929.62047
Cai, T. Tony; Brown, Lawrence D. |
|
1998
|
Adaptive covariance matrix estimation through block thresholding. Zbl 1257.62060
Cai, T. Tony; Yuan, Ming |
|
2012
|
Effect of mean on variance function estimation in nonparametric regression. Zbl 1133.62033
Wang, Lie; Brown, Lawrence D.; Cai, T. Tony; Levine, Michael |
|
2008
|
Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics. Zbl 1395.62122
Cai, T. Tony; Zhang, Anru |
|
2018
|
Optimal estimation of the mean function based on discretely sampled functional data: phase transition. Zbl 1231.62040
Cai, T. Tony; Yuan, Ming |
|
2011
|
Covariate-adjusted precision matrix estimation with an application in genetical genomics. Zbl 1284.62648
Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun |
|
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 |
|
2015
|
Incorporating information on neighbouring coefficients into wavelet estimation. Zbl 1192.42020
Cai, T. Tony; Silverman, Bernard W. |
|
2001
|
Simultaneous testing of grouped hypotheses: finding needles in multiple haystacks. Zbl 1205.62005
Cai, T. Tony; Sun, Wenguang |
|
2009
|
On recovery of sparse signals via \(\ell_1\) minimization. Zbl 1367.94081
Cai, T. Tony; Xu, Guangwu; Zhang, Jun |
|
2009
|
Optimal detection of heterogeneous and heteroscedastic mixtures. Zbl 1228.62020
Cai, T. Tony; Jeng, X. Jessie; Jin, Jiashun |
|
2011
|
Adaptive confidence balls. Zbl 1091.62037
Cai, T. Tony; Low, Mark G. |
|
2006
|
On block thresholding in wavelet regression: Adaptivity, block size, and threshold level. Zbl 1004.62036
Cai, T. Tony |
|
2002
|
Testing differential networks with applications to the detection of gene-gene interactions. Zbl 1452.62392
Xia, Yin; Cai, Tianxi; Cai, T. Tony |
|
2015
|
Robust and computationally feasible community detection in the presence of arbitrary outlier nodes. Zbl 1328.62381
Cai, T. Tony; Li, Xiaodong |
|
2015
|
A difference based approach to the semiparametric partial linear model. Zbl 1329.62179
Wang, Lie; Brown, Lawrence D.; Cai, T. Tony |
|
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 |
|
2002
|
A data-driven block thresholding approach to wavelet estimation. Zbl 1162.62032
Cai, T. Tony; Zhou, Harrison H. |
|
2009
|
Adaptive variance function estimation in heteroscedastic nonparametric regression. Zbl 1148.62021
Cai, T. Tony; Wang, Lie |
|
2008
|
Distributions of angles in random packing on spheres. Zbl 1318.60017
Cai, Tony; Fan, Jianqing; Jiang, Tiefeng |
|
2013
|
High-dimensional sparse MANOVA. Zbl 1298.62090
Cai, T. Tony; Xia, Yin |
|
2014
|
Optimal rates of convergence for noisy sparse phase retrieval via thresholded Wirtinger flow. Zbl 1349.62019
Cai, T. Tony; Li, Xiaodong; Ma, Zongming |
|
2016
|
One-sided confidence intervals in discrete distributions. Zbl 1062.62053
Cai, T. Tony |
|
2005
|
Stable recovery of sparse signals and an oracle inequality. Zbl 1366.94085
Cai, Tony Tony; Wang, Lie; Xu, Guangwu |
|
2010
|
Nonquadratic estimators of a quadratic functional. Zbl 1085.62055
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
|
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
|
ROP: matrix recovery via rank-one projections. Zbl 1308.62120
Cai, T. Tony; Zhang, Anru |
|
2015
|
Direct estimation of differential networks. Zbl 1452.62865
Zhao, Sihai Dave; Cai, T. Tony; Li, Hongzhe |
|
2014
|
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 adaptive estimation of a quadratic functional. Zbl 1110.62048
Cai, T. Tony; Low, Mark G. |
|
2006
|
Wavelet estimation for samples with random uniform design. Zbl 0940.62037
Cai, T. Tony; Brown, Lawrence D. |
|
1999
|
Optimal detection of sparse mixtures against a given null distribution. Zbl 1360.94108
Cai, Tony T.; Wu, Yihong |
|
2014
|
Optimal rates of convergence for estimating Toeplitz covariance matrices. Zbl 06176807
Cai, T. Tony; Ren, Zhao; Zhou, Harrison H. |
|
2013
|
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101
Cai, T. Tony; Low, Mark G. |
|
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 |
|
2020
|
Joint estimation of multiple high-dimensional precision matrices. Zbl 1356.62066
Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun |
|
2016
|
Optimal sparse segment identification with application in copy number variation analysis. Zbl 1390.62170
Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe |
|
2010
|
Minimax estimation of linear functionals over nonconvex parameter spaces. Zbl 1048.62054
Cai, T. Tony; Low, Mark G. |
|
2004
|
Transfer learning for nonparametric classification: minimax rate and adaptive classifier. Zbl 1466.62351
Cai, T. Tony; Wei, Hongji |
|
2021
|
Block thresholding for density estimation: local and global adaptivity. Zbl 1064.62036
Chicken, Eric; Cai, T. Tony |
|
2005
|
A max-norm constrained minimization approach to 1-bit matrix completion. Zbl 1318.62172
Cai, Tony; Zhou, Wen-Xin |
|
2013
|
Matrix completion via max-norm constrained optimization. Zbl 1342.62091
Cai, T. Tony; Zhou, Wen-Xin |
|
2016
|
High dimensional linear discriminant analysis: optimality, adaptive algorithm and missing data. Zbl 1428.62267
Cai, T. Tony; Zhang, Linjun |
|
2019
|
Phase transition in limiting distributions of coherence of high-dimensional random matrices. Zbl 1352.60006
Cai, T. Tony; Jiang, Tiefeng |
|
2012
|
Variance function estimation in multivariate nonparametric regression with fixed design. Zbl 1151.62029
Cai, T. Tony; Levine, Michael; Wang, Lie |
|
2009
|
Robust nonparametric estimation via wavelet median regression. Zbl 1148.62019
Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H. |
|
2008
|
On adaptive estimation of linear functionals. Zbl 1086.62031
Cai, T. Tony; Low, Mark G. |
|
2005
|
Compressed sensing and affine rank minimization under restricted isometry. Zbl 1393.94185
Cai, T. Tony; Zhang, Anru |
|
2013
|
Accuracy assessment for high-dimensional linear regression. Zbl 1403.62131
Cai, T. Tony; Guo, Zijian |
|
2018
|
CHIME: clustering of high-dimensional Gaussian mixtures with EM algorithm and its optimality. Zbl 1428.62182
Cai, T. Tony; Ma, Jing; Zhang, Linjun |
|
2019
|
Nonparametric regression in exponential families. Zbl 1202.62050
Brown, Lawrence D.; Cai, T. Tony; Zhou, Harrison H. |
|
2010
|
Semisupervised inference for explained variance in high dimensional linear regression and its applications. Zbl 07554759
Cai, T. Tony; Guo, Zijian |
|
2020
|
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
|
Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data. Zbl 1347.62088
Cai, T. Tony; Zhang, Anru |
|
2016
|
Global and simultaneous hypothesis testing for high-dimensional logistic regression models. Zbl 1464.62306
Ma, Rong; Tony Cai, T.; Li, Hongzhe |
|
2021
|
Interval estimation in exponential families. Zbl 1017.62027
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban |
|
2003
|
On adaptive wavelet estimation of a derivative and other related linear inverse problems. Zbl 1016.62025
Cai, T. Tony |
|
2002
|
Computational and statistical boundaries for submatrix localization in a large noisy matrix. Zbl 1392.62017
Cai, T. Tony; Liang, Tengyuan; Rakhlin, Alexander |
|
2017
|
Weighted false discovery rate control in large-scale multiple testing. Zbl 1402.62050
Basu, Pallavi; Cai, T. Tony; Das, Kiranmoy; Sun, Wenguang |
|
2018
|
Rates of convergence and adaptation over Besov spaces under pointwise risk. Zbl 1046.62046
Cai, T. Tony |
|
2003
|
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093
Cai, T. Tony; Low, Mark; Ma, Zongming |
|
2014
|
Simultaneous discovery of rare and common segment variants. Zbl 1284.62658
Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe |
|
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. |
|
2018
|
Transfer learning for high-dimensional linear regression: prediction, estimation and minimax optimality. Zbl 07593407
Li, Sai; Cai, T. Tony; Li, Hongzhe |
|
2022
|
A framework for estimation of convex functions. Zbl 1534.62033
Cai, T. Tony; Low, Mark G. |
|
2015
|
High-dimensional minimum variance portfolio estimation based on high-frequency data. Zbl 1456.62242
Cai, T. Tony; Hu, Jianchang; Li, Yingying; Zheng, Xinghua |
|
2020
|
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin |
|
2013
|
Tolerance intervals for discrete distributions in exponential families. Zbl 1166.62015
Cai, Tianwen Tony; Wang, Hsiuying |
|
2009
|
Estimation and inference for high-dimensional generalized linear models with knowledge transfer. Zbl 07877159
Li, Sai; Zhang, Linjun; Cai, T. Tony; Li, Hongzhe |
|
2024
|
Transfer learning for contextual multi-armed bandits. Zbl 1539.62097
Cai, Changxiao; Cai, T. Tony; Li, Hongzhe |
|
2024
|
Transfer learning in large-scale Gaussian graphical models with false discovery rate control. Zbl 07751836
Li, Sai; Cai, T. Tony; Li, Hongzhe |
|
2023
|
Statistical inference for high-dimensional generalized linear models with binary outcomes. Zbl 07707243
Cai, T. Tony; Guo, Zijian; Ma, Rong |
|
2023
|
Statistical inference and large-scale multiple testing for high-dimensional regression models. Zbl 1536.62067
Cai, T. Tony; Guo, Zijian; Xia, Yin |
|
2023
|
Sparse topic modeling: computational efficiency, near-optimal algorithms, and statistical inference. Zbl 07751813
Wu, Ruijia; Zhang, Linjun; Tony Cai, T. |
|
2023
|
Transfer learning for high-dimensional linear regression: prediction, estimation and minimax optimality. Zbl 07593407
Li, Sai; Cai, T. Tony; Li, Hongzhe |
|
2022
|
Heteroskedastic PCA: algorithm, optimality, and applications. Zbl 1486.62183
Zhang, Anru R.; Cai, T. Tony; Wu, Yihong |
|
2022
|
On the non-asymptotic concentration of heteroskedastic Wishart-type matrix. Zbl 1486.60009
Cai, T. Tony; Han, Rungang; Zhang, Anru R. |
|
2022
|
Inference for high-dimensional linear mixed-effects models: a quasi-likelihood approach. Zbl 1515.62076
Li, Sai; Cai, T. Tony; Li, Hongzhe |
|
2022
|
Distributed nonparametric function estimation: optimal rate of convergence and cost of adaptation. Zbl 1486.62099
Cai, T. Tony; Wei, Hongji |
|
2022
|
LAWS: a locally adaptive weighting and screening approach to spatial multiple testing. Zbl 1506.62349
Cai, T. Tony; Sun, Wenguang; Xia, Yin |
|
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. |
|
2022
|
Sparse group Lasso: optimal sample complexity, convergence rate, and statistical inference. Zbl 1515.62071
Cai, T. Tony; Zhang, Anru R.; Zhou, Yuchen |
|
2022
|
Stochastic continuum-armed bandits with additive models: minimax regrets and adaptive algorithm. Zbl 1539.62099
Cai, T. Tony; Pu, Hongming |
|
2022
|
Distributed adaptive Gaussian mean estimation with unknown variance: interactive protocol helps adaptation. Zbl 1539.62042
Cai, T. Tony; Wei, Hongji |
|
2022
|
Transfer learning for nonparametric classification: minimax rate and adaptive classifier. Zbl 1466.62351
Cai, T. Tony; Wei, Hongji |
|
2021
|
Global and simultaneous hypothesis testing for high-dimensional logistic regression models. Zbl 1464.62306
Ma, Rong; Tony Cai, T.; Li, Hongzhe |
|
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 |
|
2021
|
Group inference in high dimensions with applications to hierarchical testing. Zbl 1493.62424
Guo, Zijian; Renaux, Claude; Bühlmann, Peter; Cai, Tony |
|
2021
|
Optimal structured principal subspace estimation: metric entropy and minimax rates. Zbl 1539.62175
Cai, Tony; Li, Hongzhe; Ma, Rong |
|
2021
|
Optimal statistical inference for individualized treatment effects in high-dimensional models. Zbl 07555274
Cai, Tianxi; Cai, T. Tony; Guo, Zijian |
|
2021
|
Asymptotic analysis for extreme eigenvalues of principal minors of random matrices. Zbl 1486.60010
Cai, T. Tony; Jiang, Tiefeng; Li, Xiaoou |
|
2021
|
A convex optimization approach to high-dimensional sparse quadratic discriminant analysis. Zbl 1475.62178
Cai, T. Tony; Zhang, Linjun |
|
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 |
|
2021
|
Optimal estimation of bacterial growth rates based on a permuted monotone matrix. Zbl 07459723
Ma, Rong; Cai, T. Tony; Li, Hongzhe |
|
2021
|
Hypothesis testing for phylogenetic composition: a minimum-cost flow perspective. Zbl 1462.62692
Wang, Shulei; Cai, T. Tony; Li, Hongzhe |
|
2021
|
Optimal permutation recovery in permuted monotone matrix model. Zbl 1510.62445
Ma, Rong; Tony Cai, T.; 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
|
Semisupervised inference for explained variance in high dimensional linear regression and its applications. Zbl 07554759
Cai, T. Tony; Guo, Zijian |
|
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
|
GAP: a general framework for information pooling in two-sample sparse inference. Zbl 1441.62195
Xia, Yin; Cai, T. Tony; Sun, Wenguang |
|
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
|
High dimensional linear discriminant analysis: optimality, adaptive algorithm and missing data. Zbl 1428.62267
Cai, T. Tony; Zhang, Linjun |
|
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
|
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
|
Weighted false discovery rate control in large-scale multiple testing. Zbl 1402.62050
Basu, Pallavi; Cai, T. Tony; Das, Kiranmoy; Sun, Wenguang |
|
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
|
High-dimensional Gaussian copula regression: adaptive estimation and statistical inference. Zbl 1390.62099
Cai, T. Tony; Zhang, Linjun |
|
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
|
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
|
Joint testing and false discovery rate control in high-dimensional multivariate regression. Zbl 07072411
Xia, Yin; Cai, T. Tony; Li, Hongzhe |
|
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
|
Adaptive estimation of planar convex sets. Zbl 1459.62235
Cai, T. Tony; Guntuboyina, Adityanand; Wei, Yuting |
|
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 screening and discovery of sparse signals with applications to multistage high throughput studies. Zbl 1414.62042
Cai, T. Tony; Sun, Wenguang |
|
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
|
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
|
Joint estimation of multiple high-dimensional precision matrices. Zbl 1356.62066
Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun |
|
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 |
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2016
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Optimal large-scale quantum state tomography with Pauli measurements. Zbl 1341.62116
Cai, Tony; Kim, Donggyu; Wang, Yazhen; Yuan, Ming; Zhou, Harrison H. |
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2016
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Inference for high-dimensional differential correlation matrices. Zbl 1328.62328
Cai, T. Tony; Zhang, Anru |
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2016
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Geometric inference for general high-dimensional linear inverse problems. Zbl 1357.62235
Cai, T. Tony; Liang, Tengyuan; Rakhlin, Alexander |
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2016
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Global testing against sparse alternatives in time-frequency analysis. Zbl 1359.62032
Cai, T. Tony; Eldar, Yonina C.; Li, Xiaodong |
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2016
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Discussion of “Influential features PCA for high dimensional clustering”. Zbl 1360.62316
Cai, T. Tony; Zhang, Linjun |
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2016
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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. |
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2016
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Optimal estimation and rank detection for sparse spiked covariance matrices. Zbl 1314.62130
Cai, Tony; Ma, Zongming; Wu, Yihong |
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2015
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False discovery control in large-scale spatial multiple testing. Zbl 1414.62043
Sun, Wenguang; Reich, Brian J.; Cai, T. Tony; Guindani, Michele; Schwartzman, Armin |
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2015
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Testing differential networks with applications to the detection of gene-gene interactions. Zbl 1452.62392
Xia, Yin; Cai, Tianxi; Cai, T. Tony |
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2015
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Robust and computationally feasible community detection in the presence of arbitrary outlier nodes. Zbl 1328.62381
Cai, T. Tony; Li, Xiaodong |
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2015
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ROP: matrix recovery via rank-one projections. Zbl 1308.62120
Cai, T. Tony; Zhang, Anru |
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2015
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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. |
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2015
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A framework for estimation of convex functions. Zbl 1534.62033
Cai, T. Tony; Low, Mark G. |
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2015
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Two-sample test of high dimensional means under dependence. Zbl 07555454
Cai, T. Tony; Liu, Weidong; Xia, Yin |
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2014
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Sparse representation of a polytope and recovery in sparse signals and low-rank matrices. Zbl 1364.94114
Cai, T. Tony; Zhang, Anru |
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2014
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High-dimensional sparse MANOVA. Zbl 1298.62090
Cai, T. Tony; Xia, Yin |
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2014
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Direct estimation of differential networks. Zbl 1452.62865
Zhao, Sihai Dave; Cai, T. Tony; Li, Hongzhe |
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2014
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Optimal detection of sparse mixtures against a given null distribution. Zbl 1360.94108
Cai, Tony T.; Wu, Yihong |
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2014
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Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093
Cai, T. Tony; Low, Mark; Ma, Zongming |
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2014
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More powerful genetic association testing via a new statistical framework for integrative genomics. Zbl 1393.62115
Zhao, Sihai D.; Cai, T. Tony; Li, Hongzhe |
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2014
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Discussion: “A significance test for the lasso”. Zbl 1305.62250
Cai, T. Tony; Yuan, Ming |
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2014
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Sparse PCA: optimal rates and adaptive estimation. Zbl 1288.62099
Cai, T. Tony; Ma, Zongming; Wu, Yihong |
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2013
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Two-sample covariance matrix testing and support recovery in high-dimensional and sparse settings. Zbl 06158341
Cai, Tony; Liu, Weidong; Xia, Yin |
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2013
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Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru |
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2013
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Optimal hypothesis testing for high dimensional covariance matrices. Zbl 1281.62140
Cai, T. Tony; Ma, Zongming |
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2013
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Covariate-adjusted precision matrix estimation with an application in genetical genomics. Zbl 1284.62648
Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun |
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2013
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Distributions of angles in random packing on spheres. Zbl 1318.60017
Cai, Tony; Fan, Jianqing; Jiang, Tiefeng |
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2013
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Optimal rates of convergence for estimating Toeplitz covariance matrices. Zbl 06176807
Cai, T. Tony; Ren, Zhao; Zhou, Harrison H. |
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2013
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A max-norm constrained minimization approach to 1-bit matrix completion. Zbl 1318.62172
Cai, Tony; Zhou, Wen-Xin |
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2013
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Compressed sensing and affine rank minimization under restricted isometry. Zbl 1393.94185
Cai, T. Tony; Zhang, Anru |
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2013
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Simultaneous discovery of rare and common segment variants. Zbl 1284.62658
Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe |
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2013
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Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin |
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2013
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Minimax and adaptive prediction for functional linear regression. Zbl 1443.62196
Cai, T. Tony; Yuan, Ming |
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2012
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Optimal rates of convergence for sparse covariance matrix estimation. Zbl 1373.62247
Cai, T. Tony; Zhou, Harrison H. |
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2012
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Minimax estimation of large covariance matrices under \(\ell_1\)-norm. Zbl 1266.62036
Cai, T. Tony; Zhou, Harrison H. |
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2012
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Adaptive covariance matrix estimation through block thresholding. Zbl 1257.62060
Cai, T. Tony; Yuan, Ming |
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2012
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Phase transition in limiting distributions of coherence of high-dimensional random matrices. Zbl 1352.60006
Cai, T. Tony; Jiang, Tiefeng |
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2012
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Minimax and adaptive inference in nonparametric function estimation. Zbl 1330.62059
Cai, T. Tony |
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2012
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...and 66 more Documents |