arXiv Machine Learning By Druv Pai, Dejan Stancevic, Yi Ma, Luca Ambrogioni

Information-Theoretic Scaling Laws for Generative Diffusion Training

Read the original on arXiv Machine Learning →

The paper introduces an information-theoretic measure called model information to quantify how much a diffusion model’s outputs depend on its specific training dataset. By analyzing how this measure scales with model size and dataset size, the authors identify two distinct regimes: a nonlinear regime where memorization transitions to imperfect generalization, and a linear regime where generalization improves and sample quality rises. They propose a scaling law that captures these regimes and demonstrate that it can predict memorization and sample quality beyond the fitted data range.

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