Huibin Zhou
Henry Ford II Professor of Statistics and Data ScienceCards
Appointments
Statistics
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Henry Ford II Professor of Statistics and Data Science
Appointments
Statistics
ProfessorPrimaryInstitution for Social and Policy Studies
ProfessorSecondary
Other Departments & Organizations
- Institution for Social and Policy Studies
- Statistics
- Yale-BI Biomedical Data Science Fellowship
Research
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Research at a Glance
Publications Timeline
A big-picture view of Huibin Zhou's research output by year.
15Publications
1,456Citations
Publications
2018
Adaptive functional linear regression via functional principal component analysis and block thresholding
Cai T, Zhang L, Zhou H. Adaptive functional linear regression via functional principal component analysis and block thresholding. Statistica Sinica 2018 DOI: 10.5705/ss.202017.0099.Peer-Reviewed Original ResearchCitations
2017
Asymptotically efficient parameter estimation for ordinary differential equations
Pang T, Yan P, Zhou H. Asymptotically efficient parameter estimation for ordinary differential equations. Science China Mathematics 2017, 60: 2263-2286. DOI: 10.1007/s11425-017-9155-0.Peer-Reviewed Original ResearchCitations
2016
Estimating sparse precision matrix: Optimal rates of convergence and adaptive estimation
Cai T, Liu W, Zhou H. Estimating sparse precision matrix: Optimal rates of convergence and adaptive estimation. The Annals Of Statistics 2016, 44: 455-488. DOI: 10.1214/13-aos1171.Peer-Reviewed Original ResearchCitationsAltmetricConceptsOptimal rate of convergenceRate of convergenceCollection of parameter spacesAdaptive minimax estimationSparse precision matrixMinimax rateOptimal ratePrecision matrixMinimax rate of convergencePrecision matrix estimationParameter spaceAdaptive estimationMatrix estimationMinimaxConvergenceBinding techniquesEstimationMatrixSpaceTwo-directionalMinimizationDerivativesEstimating structured high-dimensional covariance and precision matrices: Optimal rates and adaptive estimation
Cai T, Ren Z, Zhou H. Estimating structured high-dimensional covariance and precision matrices: Optimal rates and adaptive estimation. Electronic Journal Of Statistics 2016, 10: 1-59. DOI: 10.1214/15-ejs1081.Peer-Reviewed Original ResearchCitationsAltmetricConceptsHigh-dimensional covariatesPrecision matrixMinimax rateMinimax rate of convergenceOptimal estimationClasses of matricesRate of convergenceGaussian graphical modelsSparse principal component analysisOpen problemsAdaptive estimationOptimal rateCovariance structureTechnical toolsMinimaxAdaptive procedureHypothesis testingCovariatesGraphical modelsMatrixFactor modelToeplitzEstimationTheoretical analysisProblemRejoinder of “Estimating structured high-dimensional covariance and precision matrices: Optimal rates and adaptive estimation”
Cai T, Ren Z, Zhou H. Rejoinder of “Estimating structured high-dimensional covariance and precision matrices: Optimal rates and adaptive estimation”. Electronic Journal Of Statistics 2016, 10: 81-89. DOI: 10.1214/15-ejs1081rej.Peer-Reviewed Original ResearchCitations
2015
Asymptotic normality and optimalities in estimation of large Gaussian graphical models
Ren Z, Sun T, Zhang C, Zhou H. Asymptotic normality and optimalities in estimation of large Gaussian graphical models. The Annals Of Statistics 2015, 43: 991-1026. DOI: 10.1214/14-aos1286.Peer-Reviewed Original ResearchCitationsAltmetricConceptsGaussian graphical modelsPrecision matrixParametric rateRate-optimal estimatorsSparse precision matrixOptimal convergence ratesLow-dimensional parametersSample size questionGraphical modelsSignal strength conditionAsymptotic normalityOperator normIrrepresentable conditionSide conditionsSparsity conditionsGlasso algorithmConvergence rateEfficient estimationTensor operatorsCovariance matrixSparse conditionSample sizeTheoretical findingsLatent variablesNumerical resultsLaw of log determinant of sample covariance matrix and optimal estimation of differential entropy for high-dimensional Gaussian distributions
Cai T, Liang T, Zhou H. Law of log determinant of sample covariance matrix and optimal estimation of differential entropy for high-dimensional Gaussian distributions. Journal Of Multivariate Analysis 2015, 137: 161-172. DOI: 10.1016/j.jmva.2015.02.003.Peer-Reviewed Original ResearchCitationsAltmetricConceptsSample covariance matrixOptimal estimationCovariance matrixDifferential entropyOptimal rateOptimal rate of convergenceEstimation of differential entropyUltra-high dimensional settingCentral limit theoremSample size n.Rate of convergenceHigh-dimensional settingsHigh-dimensional Gaussian distributionLimit theoremMultivariate Gaussian distributionGaussian distributionSize n.Statistical inferenceEntropyEstimationMatrixCovariatesMinimaxTheoremAsymptotics
2012
Optimal rates of convergence for sparse covariance matrix estimation
Cai T, Zhou H. Optimal rates of convergence for sparse covariance matrix estimation. The Annals Of Statistics 2012, 40: 2389-2420. DOI: 10.1214/12-aos998.Peer-Reviewed Original ResearchCitationsConceptsOptimal rate of convergenceRate of convergenceSparse covariance matrix estimationCovariance matrix estimationOptimal rateMinimax rateOperator normSpectral normEstimation of sparse covariance matricesMinimax rate of convergenceEstimation problemMatrix estimationMatrix operator normLe Cam’s methodLower bound techniqueSparse covariance matricesFunction estimation problemsMatrix estimation problemAssouad lemmaGeneral matrixBinding techniquesMinimaxCovariance matrixConvergenceDivergence lossModel selection and sharp asymptotic minimaxity
Wu Z, Zhou H. Model selection and sharp asymptotic minimaxity. Probability Theory And Related Fields 2012, 156: 165-191. DOI: 10.1007/s00440-012-0424-5.Peer-Reviewed Original ResearchCitationsOptimal rates of convergence for estimating Toeplitz covariance matrices
Cai T, Ren Z, Zhou H. Optimal rates of convergence for estimating Toeplitz covariance matrices. Probability Theory And Related Fields 2012, 156: 101-143. DOI: 10.1007/s00440-012-0422-7.Peer-Reviewed Original ResearchCitationsConceptsRate of convergenceOptimal rate of convergenceToeplitz covariance matrixOptimal rateCovariance matrixMinimax rateMinimax rate of convergenceBand estimationStationary stochastic processesGaussian scale modelParameter spaceSpectral normFinite collectionToeplitzMinimaxStochastic processOptimal estimationConvergenceEstimationMatrixSpaceRadar imagesCommunication systemsScale modelTarget detection
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