Structured subcomposition selection in regression and its application to microbiome data analysis
Wang T, Zhao H. Structured subcomposition selection in regression and its application to microbiome data analysis. The Annals Of Applied Statistics 2017, 11: 771-791. DOI: 10.1214/16-aoas1017.Peer-Reviewed Original ResearchRegularization methodLinear log contrast modelGeneralized lasso problemLog-contrast modelNovel penalty functionMicrobiome data analysisCompositional covariatesOptimization problemLasso problemHigher dimensionsStatistical challengesPenalty functionPractical problemsSymmetric versionTree structure informationSubtree levelProblemPrior knowledgeTree structureSubcompositionsCompositional dataSuch dataStructure informationData analysisNodes