Disentangling Total-Variance and Signal-to-Noise-Ratio Improves Diffusion Models

Fuente: arXiv
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Autori principali: Kahouli, Khaled, Ripken, Winfried, Gugler, Stefan, Unke, Oliver T., Müller, Klaus-Robert, Nakajima, Shinichi
Natura: Preprint
Pubblicazione: 2025
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author Kahouli, Khaled
Ripken, Winfried
Gugler, Stefan
Unke, Oliver T.
Müller, Klaus-Robert
Nakajima, Shinichi
author_facet Kahouli, Khaled
Ripken, Winfried
Gugler, Stefan
Unke, Oliver T.
Müller, Klaus-Robert
Nakajima, Shinichi
contents The long sampling time of diffusion models remains a significant bottleneck, which can be mitigated by reducing the number of diffusion time steps. However, the quality of samples with fewer steps is highly dependent on the noise schedule, i.e., the specific manner in which noise is introduced and the signal is reduced at each step. Although prior work has improved upon the original variance-preserving and variance-exploding schedules, these approaches $\textit{passively}$ adjust the total variance, without direct control over it. In this work, we propose a novel total-variance/signal-to-noise-ratio disentangled (TV/SNR) framework, where TV and SNR can be controlled independently. Our approach reveals that schedules where the TV explodes exponentially can often be improved by adopting a constant TV schedule while preserving the same SNR schedule. Furthermore, generalizing the SNR schedule of the optimal transport flow matching significantly improves the generation performance. Our findings hold across various reverse diffusion solvers and diverse applications, including molecular structure and image generation.
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id arxiv_https___arxiv_org_abs_2502_08598
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Disentangling Total-Variance and Signal-to-Noise-Ratio Improves Diffusion Models
Kahouli, Khaled
Ripken, Winfried
Gugler, Stefan
Unke, Oliver T.
Müller, Klaus-Robert
Nakajima, Shinichi
Machine Learning
The long sampling time of diffusion models remains a significant bottleneck, which can be mitigated by reducing the number of diffusion time steps. However, the quality of samples with fewer steps is highly dependent on the noise schedule, i.e., the specific manner in which noise is introduced and the signal is reduced at each step. Although prior work has improved upon the original variance-preserving and variance-exploding schedules, these approaches $\textit{passively}$ adjust the total variance, without direct control over it. In this work, we propose a novel total-variance/signal-to-noise-ratio disentangled (TV/SNR) framework, where TV and SNR can be controlled independently. Our approach reveals that schedules where the TV explodes exponentially can often be improved by adopting a constant TV schedule while preserving the same SNR schedule. Furthermore, generalizing the SNR schedule of the optimal transport flow matching significantly improves the generation performance. Our findings hold across various reverse diffusion solvers and diverse applications, including molecular structure and image generation.
title Disentangling Total-Variance and Signal-to-Noise-Ratio Improves Diffusion Models
topic Machine Learning
url https://arxiv.org/abs/2502.08598