  In this article, we mathematically study several GAN related topics,
including Inception score, label smoothing, gradient vanishing and the
-log(D(x)) alternative.
  ---
  An advanced version is included in arXiv:1703.02000 "Activation Maximization
Generative Adversarial Nets".
  Please refer Section 6 in 1703.02000 for detailed analysis on Inception
Score, and refer its appendix for the discussions on Label Smoothing, Gradient
Vanishing and -log(D(x)) Alternative.
