Variational autoencoders (VAEs) learn a latent variable z and a decoder, optimizing a tractable lower bound on likelihood (the ELBO); their well-known failure mode, posterior collapse, occurs when the decoder ignores z entirely. GANs replace explicit likelihood with an adversarial game between a generator and a discriminator, trading likelihood guarantees for often sharper samples at the cost of training instability. Autoregressive models factorize a joint distribution into a product of conditionals and generate token-by-token, trained with teacher forcing. Diffusion and flow-matching models learn to reverse a gradual noising process (or, in flow matching, to follow a continuous path from noise to data), currently the dominant recipe for high-fidelity image and video synthesis due to their stable training and strong sample quality.
Within a world model, the choice of generative backbone determines the character of its imagination: autoregressive backbones compose naturally with sequential decision-making; diffusion and flow backbones currently dominate wherever visual fidelity is the priority.