Tensor Regression with Envelope Structure

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Documentation for package ‘TRES’ version 1.1.5

• DESCRIPTION file.
• Package NEWS.

Help Pages

TRES-package	Tensor Regression with Envelope Structure
bat	Bat simulated data
ECD	ECD algorithm for estimating the envelope subspace
EEG	Electroencephalography (EEG) dataset for alcoholism study.
FGfun	The Objective function and its gradient
kroncov	The covariance estimation of tensor normal distribution
manifold1D	Estimate the envelope subspace ('ManifoldOptim' 1D)
manifoldFG	Estimate the envelope subspace ('ManifoldOptim' FG)
MenvU_sim	Generate matrices M and U
oneD_bic	Envelope dimension selection based on 1D-BIC
OptM1D	Estimate the envelope subspace ('OptM' 1D)
OptMFG	Estimate the envelope subspace ('OptM' FG)
OptStiefelGBB	Optimization on Stiefel manifold
plot.Tenv	Plot coefficients and p-value for Tenv object.
PMSE	Prediction and mean squared error.
predict.Tenv	Predict method for Tenv object.
print.summary.Tenv	Summarize method for Tenv object.
simplsMU	SIMPLS-type algorithm for estimating the envelope subspace
square	Square simulated data
std_err	Elementwise standard error.
subspace	The distance between two subspaces.
summary.Tenv	Summarize method for Tenv object.
Tenv_Pval	The p-value and standard error of coefficient in tensor response regression (TRR) model.
TPR	Tensor predictor regression
TPR.fit	Tensor predictor regression
TPRdim	Envelope dimension by cross-validation for tensor predictor regression (TPR).
TPRsim	Generate simulation data for tensor predictor regression (TPR)
TRES	Tensor Regression with Envelope Structure
TRR	Tensor response regression
TRR.fit	Tensor response regression
TRRdim	Envelope dimension selection for tensor response regression (TRR)
TRRsim	Generate simulation data for tensor response regression (TRR)
ttt	Matrix product of two tensors