MultiwayRegression-package {MultiwayRegression}

Perform tensor-on-tensor regression

Description

Functions to predict one multi-way array (i.e., a tensor) from another multi-way array, using a low-rank CANDECOMP/PARAFAC (CP) factorization and a ridge (L_2) penalty. Also includes functions to sample from the Bayesian posterior of a tensor-on-tensor model.

Details

Package:	MultiwayRegression-package
Type:	Package
Version:	1.2
Date:	2019-05-28
License:	GPL-3

Author(s)

Eric F. Lock

Maintainer: Eric F. Lock <[e-mail]>

References

Lock, E. F. (2018). Tensor-on-tensor regression. Journal of Computational and Graphical Statistics, 27 (3): 638-647, 2018.

Examples

data(SimData) ##loads simulated X: 100 x 15 x 20 and Y: 100 x 5 x 10 
Results <- rrr(X,Y,R=2)  ##Fit rank 2 model with no regularization
Y_pred <- ctprod(X,Results$B,2)  ##Array of fitted values