[KongchangAI]
Conceptmarginal-first

Marginal-First Decomposition

A diffusion model training paradigm that first derives the marginal distribution of the noising process and then constructs the training objective accordingly, allowing reuse of standard Gaussian diffusion training pipelines.

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Oct 15

ALD uses a marginal preferential decomposition, expressing stable noise in the form of a scalar Gaussian scale mixture, so that the training objective returns to the standard Gaussian noise prediction loss, requiring only one additional scalar scale input.

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