In this technical document we present a proof on the uniqueness of group sparse coding through the block ACS theorem. Leveraging the original ACS theorem of Hillar and Sommer for sparse coding, we demonstrate a similar uniqueness property holds for the task of group sparse coding.
Cite
@article{arxiv.1506.05872,
title = {On the Uniqueness of Group Sparse Coding},
author = {Chen Kong and Simon Lucey},
journal= {arXiv preprint arXiv:1506.05872},
year = {2015}
}