Hasty Briefsbeta

Bilingual

An analytic theory of creativity in convolutional diffusion models

10 months ago
  • #diffusion-models
  • #machine-learning
  • #creativity
  • The paper presents an analytic theory of creativity in convolutional diffusion models.
  • Identifies two inductive biases, locality and equivariance, that enable combinatorial creativity.
  • Introduces local score (LS) and equivariant local score (ELS) machines for mechanistic interpretation.
  • Demonstrates high predictive accuracy (median r² ~0.95) on datasets like CIFAR10 and CelebA.
  • Reveals a patch mosaic mechanism where models mix local training patches to create novel images.
  • Partially predicts outputs of self-attention UNets (median r² ~0.77), highlighting attention's role in semantic coherence.