The generator component of a GAN is a generative model. When we say the generative model, there are two types of generative models— an implicit and an explicit density model. The implicit density model does not use any explicit density function to learn the probability distribution, whereas the explicit density model, as the name suggests, uses an explicit density function. GANs falls into the first category. That is, they are an implicit density model. Let's study in detail and understand how GANs are an implicit density model.
Let's say we have a generator, . It is basically a neural network parametrized by . The ...