From the title I thought it would be a Convolutional Neural Network for text, not the Cable News Network in plain text. An example to show that text CNN's are a thing: https://github.com/dennybritz/cnn-text-classification-tf
To add to your trend, here is an article [1] about "Texture Classification and Segmentation by Cellular Neural Networks Using Genetic Learning" , texture not text though as they are more vision related, though it would be interesting to see by what methods they could be applied to text.
[1] https://www.researchgate.net/profile/Tamas_Sziranyi/publicat...