arXiv Machine Learning By Nail B. Khelifa, Richard E. Turner, Ramji Venkataramanan

Quantifying Error Propagation and Model Collapse in Diffusion Models

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The paper investigates how repeatedly training score-based diffusion models on synthetic data can cause their outputs to drift from the target distribution. It provides theoretical upper and lower bounds on the divergence accumulated over successive training rounds, distinguishing regimes based on score estimation error and the fraction of fresh data used. Empirical experiments on synthetic data and images support the theoretical findings.

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