Diffusion models exhibit a distributional simplicity bias, learning pairwise input statistics at linear sample complexity while fourth-order cumulants require cubic complexity unless sharing correlated latent structure.
& Bruna, J.Computational-Statistical Gaps in Gaussian Single- Index Models (Extended Abstract)inProceedings of Thirty Seventh Conference on Learning Theory (eds Agrawal, S
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A theory of learning data statistics in diffusion models, from easy to hard
Diffusion models exhibit a distributional simplicity bias, learning pairwise input statistics at linear sample complexity while fourth-order cumulants require cubic complexity unless sharing correlated latent structure.