A method to recover the Hessian/Fisher metric of generative model latent spaces is validated on Ising and TASEP and applied to claim fractal phase transitions in diffusion models.
Answer to mathoverflow question ``when a riemannian manifold is of hessian type''
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Hessian Geometry of Latent Space in Generative Models
A method to recover the Hessian/Fisher metric of generative model latent spaces is validated on Ising and TASEP and applied to claim fractal phase transitions in diffusion models.