I just learned about GAN and I'm a little bit confused about the naming of Latent Vector.
First, In my understanding, a definition of a latent variable is a random variable that can't be measured directly (we needs some calculation from other variables to get its value). For example, knowledge is a latent variable. Is it correct?
And then, in GAN, a latent vector $z$ is a random variable which is an input of the generator network. I read in some tutorials, it's generated using only a simple random function:
z = np.random.uniform(-1, 1, size=(batch_size, z_size))
then how are the two things related? why don't we use the term "a vector with random values between -1 and 1" when referring $z$ (generator's input) in GAN?