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Paper · arXiv

Filtered Posterior Mean Collections: A Unified Framework for Analytical Models of Diffusion Generalization

The neural-network denoising functions which form the backbone of image diffusion models are remarkably consistent in their generalization behaviour across a wide variety of network architectures and training procedure hyperparameters. A recent line of research has sought to model the outputs of these networks by aggregating posterior weighted averages of training dataset patches. In this work, we consolidate these approaches into a unified model class which we call Filtered Posterior Mean Collections (FPMCs). We define this model class using query precision vectors, response weights, and source distributions, and illustrate that existing methods are recoverable with specific choices of t...

AuthorsMatthew Niedoba, Berend Zwartsenberg, Frank Wood
Primary categorycs.LG
Published22 May 2026
Last updated at source22 May 2026
cs.LGcs.AIcs.CV
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