I am wondering how a plain auto encoder is a generative model though its version might be but how can a plain auto encoder can be generative. I know that Vaes which is a version of the autoencoder is generative as it generates distribution for latent variables and whole data explicitly. But I am not able to think how an autoencoder generates probability distribution and becomes a generative model.
Also from this youtube video: here It says plain auto encoder is not a generative model. See last line from picture.