Fall 2015 (Fall 2005, Fall 2004), Stat 610, Statistical Inference
Publications
Leave-one-out Singular Subspace Perturbation Analysis for Spectral Clustering
(with A. Zhang).
Preprint
Rates of estimation for high-dimensional multi-reference alignment
(with Z. Fan, Z. Dou).
Preprint
Optimal estimation of high-dimensional Gaussian mixtures
(with N. Doss, Y. Wu, P. Yang).
Annals of Statistics, 2022+.
Preprint
Randomly initialized EM algorithm for two-component Gaussian mixture achieves near optimality in O(sqrt{n}) iterations
(with Y. Wu).
Mathematical Statistics and Learning, 2022+.
Preprint
Optimality of Spectral Clustering for Gaussian Mixture Model
(with M. Loffler, and Y. Zhang).
Annals of Statistics, 2021.
Preprint
Testing for Balance in Social Networks
(with with D. Feng, D. Stafford, and N. A. Christakis).
Journal of the American Statistical Association, 2020.
Preprint
Theoretical and Computational Guarantees of Mean Field Variational Inference for Community Detection
(with A. Zhang).
Annals of Statistics, 2020.
Preprint
Discussion on "Minimax Optimal Procedures for Locally Private Estimation"
(with A. Zhang).
Journal of the American Statistical Association, 2018.
Preprint
Statistical and Computational Guarantees of Lloyd's Algorithm and its Variants
(with Y. Lu).
Preprint
Community Detection in Degree-Corrected Block Models
(with C. Gao, Z. Ma, and A. Zhang).
Annals of Statistics, 2018.
Preprint
Estimating sparse precision matrices
(with N. Padmanabhan, M. White, and R. O'Connell)
Monthly Notices of the Royal Astronomical Society, 460, 1567–1576, 2016.
Preprint
Optimal Estimation and Completion of Matrices with Biclustering Structures
(with C. Gao, Y. Lu, and Z. Ma).
Journal of Machine Learning Research, 17, 1-29, 2016.
Preprint
Optimal Large-scale Quantum State Tomography With Pauli Measurements
(with T. Cai, D. Kim, Y. Wang, M. Yuan).
Annals of Statistics, Volume 44, Number 2, 682-712, 2016.
Preprint
A General Framework for Bayes Structured Linear Models
(with C. Gao and A. W. van der Vaart).
Annals of Statistics, 2020.
Preprint
Minimax Rates of Community Detection in Stochastic Block Models
(with A. Zhang).
Annals of Statistics, Volume 44, Number 5, 2252-2280, 2016.
Preprint
Achieving Optimal Misclassication Proportion in Stochastic Block Model
(with C. Gao, Z. Ma, and A. Zhang).
Journal of Machine Learning Research, 18(60):1−45, 2017.
Preprint
Sparse CCA: Adaptive Estimation and Computational Barriers
(with C. Gao and Z. Ma).
Annals of Statistics, Volume 45, Number 5, 2074-2101, 2017.
Preprint
Bernstein-von Mises Theorems for Functionals of Covariance Matrix
(with C. Gao).
EJS, Volume 10, Number 2, 1751-1806, 2016.
Preprint
Rate-optimal Graphon Estimation
(with C. Gao and Y. Lu).
Annals of Statistics, 43, 2624-2652, 2015.
Preprint
An Efficient and Optimal Method for Sparse Canonical Correlation Analysis
(with C. Gao and Z. Ma).
Preprint (Merged into "Sparse CCA: Adaptive Estimation and Computational Barriers").
Estimating Structured High-Dimensional Covariance and Precision Matrices: Optimal Rates and Adaptive Estimation
(with T. Cai and Z. Ren).
EJS with discussions, Volume 10, Number 1, 1-59, 2016.
Preprint
Minimax Estimation in Sparse Canonical Correlation Analysis
(with C. Gao, Z. Ma, and Z. Ren).
Annals of Statistics, to appear.
Preprint and
Supplement
Rate exact Bayesian adaptation with modified block priors
(with C. Gao).
Annals of Statistics, 44, 318-345, 2016.
Preprint
Rate-Optimal Posterior Contraction for Sparse PCA
(with C. Gao).
Annals of Statistics, 43, 785-818, 2015.
Preprint and
Supplement
Sparse CCA via Precision Adjusted Iterative Thresholding
(with M. Chen, C. Gao and Z. Ren).
Proceeding of ICCM, 2017+.
Preprint
Tight Minimax Rates for Manifold Estimation under Hausdorff Loss
(with A. Kim).
EJS, 9, 1562-1582, 2015.
Preprint
Asymptotically Normal and Efficient Estimation of Covariate-Adjusted Gaussian Graphical Model
(with M. Chen, Z. Ren and H. Zhao).
Journal of the American Statistical Association, 111, 2016
Preprint
Asymptotic Normality and Optimalities in Estimation of Large Gaussian Graphical Model
(with Z. Ren, T. Sun and C. Zhang).
Annals of Statistics, 43, 991-1026, 2015.
Preprint and
Supplement
Law of Log Determinant of Sample Covariance Matrix and Optimal Estimation of Differential Entropy for High-Dimensional Gaussian Distributions
(with T. Cai and T. Liang).
JMA, 137, 161–172, 2015.
Preprint
Estimating Sparse Precision Matrix: Optimal Rates of Convergence and Adaptive Estimation
(with T. Cai and W. Liu).
Annals of Statistics, Volume 44, Number 2, 455-488, 2016.
Preprint
Quantile Coupling Inequalities and Their Applications
(with D. Mason).
Probability Survey, to appear.
Preprint (Zhou (2006) is merged into this paper.)
Discussion of "Latent Variable Graphical Model Selection Via Convex Optimization"
(with Z. Ren).
Annals of Statistics, 40, 1989-1996, 2012.
Preprint
Optimal Volatility Matrix Estimation for High Dimensional Diffusions With Noise Contamination
(with M. Tao and Y. Wang).
Annals of Statistics, 41, 1816-1864, 2013.
Preprint
Optimal Rates of Convergence for Estimating Toeplitz Covariance Matrices
(with T. Cai and Z. Ren).
Probability Theory and Related Fields 156, 101-143, 2013.
Preprint
Optimal Rates of Convergence for Sparse Covariance Matrix Estimation
(with T. Cai).
Annals of Statistics, 40, 2389-2420, 2012.
Preprint and
Supplement
Nonparametric Regression in Natural Exponential Families
(with T. Cai).
Borrowing Strength: Theory Powering Applications, A Festschrift for Lawrence D. Brown, Institute of Mathematical Statistics, 2010.
Preprint
Functional Regression for General Exponential Families
(with W. Dou, D. Pollard).
Annals of Statistics, 40, 2421-2451, 2012.
Preprint
Minimax Estimation of Large Covariance Matrices under l_{1}-Norm
(with T. Cai).
Statistica Sinica with discussions, 22, 1319-1378, 2012.
Preprint
Model Selection and Sharp Asymptotic Minimaxity (with Z. Wu).
Probability Theory and Related Fields, 156, 165-191, 2013.
Preprint
False Discovery Rate Control with Groups (with J. Hu and H. Zhao).
J. American Statistical Association, vol. 105, issue 491, 1215-1227, 2010.
Preprint
Optimal Rates of Convergence for Covariance Matrix Estimation (with T. Cai and C.-H. Zhang).
Annals of Statistics, 38, 2118-2144, 2010.
Preprint
Asymptotic Equivalence and Adaptive Estimation for Robust Nonparametric Regression (with T. Cai).
Annals of Statistics 37, 3204-3235, 2009.
EUCLID.
(For a longer version with details see
Preprint).
The Root-unroot Algorithm for Density Estimation
as Implemented via Wavelet Block Thresholding
(with L.D. Brown, T. Cai, L. Zhao and R. Zhang).
Probability Theory and Related Fields 146, 401-433, 2010.
SpringerLink
Adaptive Functional Linear Regression
(with T. Cai).
Preprint
Nonparametric Regression in Exponential Families (with L.D. Brown and T. Cai).
Annals of Statistics, 38, 2005-2046, 2010.
Preprint
Discussion of ``Sure independence screening for ultra-high dimensional feature space''
(with X. Lin).
Journal of the Royal Statistical Society, Series B, 2008.
Preprint
Robust Nonparametric Estimation via Wavelet Median Regression (with L.D. Brown and T. Cai).
Annals of Statistics 36, 2055-2084, 2008.
EUCLID.
A Note on Quantile Coupling Inequalities and Their Applications
Preprint
A Complement to Le Cam's Theorem (with M. Low).
Annals of Statistics 35, 1146-1165, 2007.
EUCLID.
A Data-Driven Block Thresholding Approach To Wavelet Estimation (with T. Cai).
Annals of Statistics 37, 569-595, 2009.
EUCLID.
(For a longer version with details see
Preprint.)
Asymptotic Equivalence of Spectral Density Estimation and Gaussian White Noise (with G. Golubev, M. Nussbaum).
Annals of Statistics 38, 181-214, 2010.
EUCLID.
Minimax Estimation with Thresholding and its application to Wavelet Analysis (with J. T. Hwang).
Annals of Statistics 33, 1, 101-125, 2005.
EUCLID.
Minimax Estimation with Thresholding and Asymptotic
Equivalence for Gaussian Variance Regression.
Ph.D. Dissertation, 2004, Cornell University.
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