2024
TENSOR QUANTILE REGRESSION WITH LOW-RANK TENSOR TRAIN ESTIMATION.
Liu Z, Lee C, Zhang H. TENSOR QUANTILE REGRESSION WITH LOW-RANK TENSOR TRAIN ESTIMATION. The Annals Of Applied Statistics 2024, 18: 1294-1318. PMID: 38682044, PMCID: PMC11046526, DOI: 10.1214/23-aoas1835.Peer-Reviewed Original ResearchTensor trainCoefficient tensorRate of convergenceLow-rankQuantile regression frameworkApproximation-based methodVariation penaltyHuman intelligenceQuantile regression modelEstimation algorithmMRI image dataAsymptotic normalityArray of imagesScalar outcomeEmpirical performanceImage dataTrained estimatorDimensionalityNumerical studyMagnetic resonance imaging imagesQuantile regressionTensorRegression frameworkTT estimationImages
2007
Statistical Analysis of Diffusion Tensors in Diffusion-Weighted Magnetic Resonance Imaging Data
Zhu H, Zhang H, Ibrahim J, Peterson B. Statistical Analysis of Diffusion Tensors in Diffusion-Weighted Magnetic Resonance Imaging Data. Journal Of The American Statistical Association 2007, 102: 1085-1102. DOI: 10.1198/016214507000000581.Peer-Reviewed Original ResearchPerturbation selection and influence measures in local influence analysis
Zhu H, Ibrahim J, Lee S, Zhang H. Perturbation selection and influence measures in local influence analysis. The Annals Of Statistics 2007, 35: 2565-2588. DOI: 10.1214/009053607000000343.Peer-Reviewed Original ResearchInfluence measuresMetric tensorAssessing local influence of minor perturbationsLocal influence of minor perturbationsAssess local influenceLocal influence approachDifferential-geometrical frameworkAffine curvatureNormal curvatureInfluence approachMinor perturbationsPerturbation modelTensorPerturbationLinear mixed modelsLinear regression modelsCurvatureStatistical modelMixed modelsFunctionRegression models
2006
A statistical framework for the classification of tensor morphologies in diffusion tensor images
Zhu H, Xu D, Raz A, Hao X, Zhang H, Kangarlu A, Bansal R, Peterson BS. A statistical framework for the classification of tensor morphologies in diffusion tensor images. Magnetic Resonance Imaging 2006, 24: 569-582. PMID: 16735178, PMCID: PMC2367261, DOI: 10.1016/j.mri.2006.01.004.Peer-Reviewed Original Research