Evaluate tensor predictor regression through prediction mean squared error.
PMSE(Xn, Yn, Bhat)
A predictor tensor.
A response vector.
An estimation of coefficient tensor.
Mean squared error. Defined as \(trace(\sum_{i=1}^n(\mathbf{Y}_i-\hat{\mathbf{Y}}_i)(\mathbf{Y}_i-\hat{\mathbf{Y}}_i)'/n)\), where \(\hat{\mathbf{Y}}_i\) is the predictions.
The predictions of tensor predictor regression.