Wasserstein GAN + Vincent Hermann's Expository article - WGAN is hot news in GAN training right now. This paper points out a huge theoretical flaw in the original GAN formulation, derives a principled alternative, and uses it to achieve SOTA experimental results. See also the second resource which is a fantastic expository article about WGAN.
Compressive Sensing: this is what I spend most of my actual time on. Learn more about image compression, JPEG, MRI machines, and signal processing!