Tensor Regression with Envelope Structure and Three Generic Envelope Estimation Approaches

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Documentation for package ‘TRES’ version 1.1.1

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TRES-package Tensor Regression with Envelope Structure and Three Generic Envelope Estimation Approaches
ballGBB1D_bic Envelope dimension selection based on 1D-BIC
bat Bat simulated data
ECD ECD algorithm for estimating the envelope subspace
EEG Electroencephalography (EEG) dataset for alcoholism study.
EnvMU Estimate envelope subspace basis
FGfun The Objective function and its gradient
fun1D The 1D objective function and its gradient
get_ini1D Initial value for 1D algorithm
kroncov The covariance estimation of a tensor random variable
manifold1D Estimate the envelope subspace (ManifoldOptim 1D)
manifoldFG Estimate the envelope subspace (ManifoldOptim)
MenvU_sim Generate sample estimator of 'M' and 'U'
OptimballGBB1D Estimate the envelope subspace (Feasi 1D)
OptManiMulitBallGBB Line search algorithm for optimization on manifold
OptStiefelGBB Optimization on Stiefel manifold (GBB)
plot.Tenv Plot coefficients and p-value for Tenv object.
PMSE Predictions and Mean squared error for tensor predictor regression (TPR).
predict.Tenv Predict method for Tenv object.
print.summary.Tenv Summarize method for Tenv object.
square Square simulated data
std_err Extracting the standard error.
subspace The distance between two subspaces.
summary.Tenv Summarize method for Tenv object.
TensEnv_dim Envelope dimension selection for tensor response regression (TRR)
TensPLS_cv2d3d Envelope dimension by cross-validation for tensor predictor regression (TPR).
Tenv_Pval The p-value and standard error of each element in the estimator of the tensor response regression (TRR) coefficient
TPR Tensor predictor regression
TPR.fit Tensor predictor regression
TPR_sim Generate simulation data for tensor predictor regression (TPR)
TRES Tensor Regression with Envelope Structure and Three Generic Envelope Estimation Approaches
TRR Tensor response regression
TRR.fit Tensor response regression
TRR_sim Generate simulation data for tensor response regression (TRR)
ttt Inner product of two tensors