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 nodesConditional Functional Graphical Models
Lee K, Ji D, Li L, Constable T, Zhao H. Conditional Functional Graphical Models. Journal Of The American Statistical Association 2021, 118: 257-271. PMID: 37193511, PMCID: PMC10181795, DOI: 10.1080/01621459.2021.1924178.Peer-Reviewed Original ResearchMultivariate random functionsFunctional graphical modelNew linear operatorMultivariate functional dataGraph structureConditional graphical modelGraphical modelsLinear operatorsGraphical modelingRandom functionPrecision matrixPrecision operatorCorresponding estimatorsUniform convergenceConditional graphFunctional settingGraph sizeCorrelation operatorPartial correlation matrixNonzero elementsConditioning setCorrelation matrixOperatorsGraphBrain functional connectivity networks