2022
A Manifold Proximal Linear Method for Sparse Spectral Clustering with Application to Single-Cell RNA Sequencing Data Analysis
Wang Z, Liu B, Chen S, Ma S, Xue L, Zhao H. A Manifold Proximal Linear Method for Sparse Spectral Clustering with Application to Single-Cell RNA Sequencing Data Analysis. INFORMS Journal On Optimization 2022, 4: 200-214. DOI: 10.1287/ijoo.2021.0064.Peer-Reviewed Original ResearchSparse spectral clusteringOptimization problemSpectral clusteringLinear methodsIteration complexity resultsNonconvex objectiveNonsmooth objectiveConvex relaxationStiefel manifoldSingle-cell RNA sequencing data setsSSC problemComplexity resultsSmoothing techniquesRNA sequencing data analysisData setsOriginal formulationUnsupervised learning methodData analysisNonsmoothProblemAlgorithmFormulationManifoldClusteringConvergence
2019
Sparse principal component analysis with missing observations
Park S, Zhao H. Sparse principal component analysis with missing observations. The Annals Of Applied Statistics 2019, 13: 1016-1042. DOI: 10.1214/18-aoas1220.Peer-Reviewed Original ResearchHigh-dimensional settingsPrincipal subspaceStep estimation procedureRate of convergenceSparse principal component analysisDimensional settingSimulated examplesMissing observationsStatistical methodsEstimation procedureSparse PCA methodsSingle-cell dataSubspacePCA methodSingle-cell RNA-sequencing dataNumber of featuresCompetitive performancePrincipal component analysisConvergenceSample sizeEstimationWide rangeComponent analysis
2016
On high-dimensional misspecified mixed model analysis in genome-wide association study
Jiang J, Li C, Paul D, Yang C, Zhao H. On high-dimensional misspecified mixed model analysis in genome-wide association study. The Annals Of Statistics 2016, 44: 2127-2160. DOI: 10.1214/15-aos1421.Peer-Reviewed Original ResearchREML estimatorsAsymptotic resultsAsymptotic conditional varianceReal data applicationRandom effectsMaximum likelihood estimatorExtensive simulation studyAsymptotic analysisConvergence rateLikelihood estimatorLinear mixed modelsEstimatorSimulation studyConvergenceData applicationsTrue varianceConditional varianceImportant genetic implicationsCertain limits