A Mathematical Introduction to Generative Adversarial Nets (GAN)
It addresses the problem of accessibility for mathematics students, but it is incremental as it repackages existing knowledge without introducing new methods or results.
This paper tackles the challenge of making Generative Adversarial Nets (GANs) accessible to mathematically oriented students by providing an overview from a mathematical perspective, as existing literature often uses a computer science or engineering viewpoint.
Generative Adversarial Nets (GAN) have received considerable attention since the 2014 groundbreaking work by Goodfellow et al. Such attention has led to an explosion in new ideas, techniques and applications of GANs. To better understand GANs we need to understand the mathematical foundation behind them. This paper attempts to provide an overview of GANs from a mathematical point of view. Many students in mathematics may find the papers on GANs more difficulty to fully understand because most of them are written from computer science and engineer point of view. The aim of this paper is to give more mathematically oriented students an introduction to GANs in a language that is more familiar to them.