2022
A Zero-Inflated Logistic Normal Multinomial Model for Extracting Microbial Compositions
Zeng Y, Pang D, Zhao H, Wang T. A Zero-Inflated Logistic Normal Multinomial Model for Extracting Microbial Compositions. Journal Of The American Statistical Association 2022, 118: 2356-2369. DOI: 10.1080/01621459.2022.2044827.Peer-Reviewed Original ResearchMaximum likelihood estimationEfficient iterative algorithmProbabilistic PCA modelsEmpirical Bayes approachApproximation estimatorVariational approximationExcessive zerosM-estimationAsymptotic normalityIterative algorithmLikelihood estimationBayes approachCount dataHigh dimensionalityRaw count dataMultinomial modelExtensive simulationsZerosSupplementary materialMicrobiome dataCompositional natureEstimationPCA modelComposition estimationApproximation
2012
Sparse principal component analysis by choice of norm
Qi X, Luo R, Zhao H. Sparse principal component analysis by choice of norm. Journal Of Multivariate Analysis 2012, 114: 127-160. PMID: 23524453, PMCID: PMC3601508, DOI: 10.1016/j.jmva.2012.07.004.Peer-Reviewed Original ResearchHigh-dimensional situationsSparse principal component analysisReal gene expression dataEfficient iterative algorithmHigh-dimensional dataSparse principal component analysis methodEigenvalue problemOptimization problemIterative methodChoice of normDimensional situationTheoretical resultsTraditional eigenvalue problemIterative algorithmStrict convexityLinear combinationSingle-component modelExpensive computationSparse linear combinationDimensional dataUsual normExistence of correlationsGene expression dataPractical applicationsCompetitive results