When are two multi-layer cellular neural networks the same?

@article{Ban2016WhenAT,
  title={When are two multi-layer cellular neural networks the same?},
  author={Jung-Chao Ban and Chih-Hung Chang},
  journal={Neural networks : the official journal of the International Neural Network Society},
  year={2016},
  volume={79},
  pages={12-9}
}
This paper aims to characterize whether a multi-layer cellular neural network is of deep architecture; namely, when can an n-layer cellular neural network be replaced by an m-layer cellular neural network for m<n yet still preserve the same output phenomena? From a mathematical point of view, such characterization involves investigating whether the topological structure of two (or multiple) layers is conjugate. A decision procedure that addresses the necessary and sufficient condition for the… CONTINUE READING