Featured Publications
Nonparametric Functional Graphical Modeling Through Functional Additive Regression Operator
Lee K, Li L, Li B, Zhao H. Nonparametric Functional Graphical Modeling Through Functional Additive Regression Operator. Journal Of The American Statistical Association 2022, 118: 1718-1732. DOI: 10.1080/01621459.2021.2006667.Peer-Reviewed Original ResearchRegression operatorMultivariate random functionsGraphical modelsOne-dimensional kernelCurse of dimensionalityRandom variablesStatistical objectsRandom functionExisting graphical modelsError boundsEstimation consistencyLarge-scale networksDistributional assumptionsGaussian distributionNonparametric approachNonlinear relationOperatorsGraphical modelingOperator levelNeighborhood selectionExponential rateSupplementary materialElectroencephalography datasetAssumptionDifferent nodes
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