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 estimationImagesUse of random integration to test equality of high dimensional covariance matrices.
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