2022
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
2021
Iterative Power Algorithm for Global Optimization with Quantics Tensor Trains
Soley M, Bergold P, Batista V. Iterative Power Algorithm for Global Optimization with Quantics Tensor Trains. Journal Of Chemical Theory And Computation 2021, 17: 3280-3291. PMID: 33956426, DOI: 10.1021/acs.jctc.1c00292.Peer-Reviewed Original ResearchGlobal optimizationGlobal minimumTensor-train representationImaginary time propagation methodElectronic structure calculationsGlobal search optimizationPower iteration methodTime propagation methodGlobal search problemPosition expectation valuesCurse of dimensionalityMolecular geometry optimizationStructure calculationsPower algorithmDistribution ρTensor trainOptimization problemIteration methodProbability distributionPotential energy surfaceOptimization algorithmSearch optimizationExpectation valuesDelta functionPrime number
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