theoretical

This paper revisits the theoretical foundations for detecting commutative factors in factor graphs, correcting a previously mistaken sufficient condition and presenting corrected algorithms.

This paper identifies a collapse-and-refine mechanism in diffusion models under the manifold hypothesis, proposing Score-induced Latent Diffusion (SiLD) that provably avoids the curse of dimensionality. Experiments show SiLD matches or outperforms VAE-based latent diffusion models.