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Efficient Diffusion Models for Symmetric Manifolds

  • Introduction of a framework for efficient diffusion models for symmetric-space Riemannian manifolds.
  • Proposal of a new diffusion model for symmetric manifolds with spatially-varying covariance to bypass heat kernel computations.
  • Training algorithm minimizes an efficient objective derived via Ito's Lemma, leading to reduced computational complexity.
  • Empirical results show improved training speed and sample quality on synthetic datasets on various symmetric manifolds.

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