Sparse Regularization Based on Orthogonal Tensor Dictionary Learning for Inverse Problems

Algorithm 2

Orthogonal tensor dictionary learning algorithm.

Input: Training data set , regularization parameters, patch size.

Output: Learning dictionaries

 1 Initialize , and .

 2 For

 3 Update the sparse coding using hard thresholding,

 4 For , Update the dictionaries by running the SVD in Equations (A.18) and (A.20).

 5 End for

 6 Update, using Equation (20)

 7 Update, using Equation (26)

 8 Solve for using Equation (33)

 9 end for