The emergence of various notions of ``consistency'' in diffusion models has garnered considerable attention and helped achieve improved sample quality, likelihood estimation, and accelerated sampling. Although similar concepts have been proposed in the literature, the precise relationships among them remain unclear. In this study, we establish theoretical connections between three recent ``consistency'' notions designed to enhance diffusion models for distinct objectives. Our insights offer the potential for a more comprehensive and encompassing framework for consistency-type models.

翻译：扩散模型中多种“一致性”概念的涌现引起了广泛关注，并有助于提升样本质量、优化似然估计以及加速采样过程。尽管文献中已提出类似概念，但它们之间的精确关系仍不明确。本研究建立了三种近期提出的、旨在针对不同目标优化扩散模型的“一致性”概念之间的理论联系。我们的发现为构建更全面、更具包容性的一致性类模型框架提供了可能性。