Exploring the latent space of diffusion models directly through singular value decomposition

Fuente: arXiv
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Hauptverfasser: Wang, Li, Gao, Boyan, Li, Yanran, Wang, Zhao, Yang, Xiaosong, Clifton, David A., Xiao, Jun
Format: Preprint
Veröffentlicht: 2025
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author Wang, Li
Gao, Boyan
Li, Yanran
Wang, Zhao
Yang, Xiaosong
Clifton, David A.
Xiao, Jun
author_facet Wang, Li
Gao, Boyan
Li, Yanran
Wang, Zhao
Yang, Xiaosong
Clifton, David A.
Xiao, Jun
contents Despite the groundbreaking success of diffusion models in generating high-fidelity images, their latent space remains relatively under-explored, even though it holds significant promise for enabling versatile and interpretable image editing capabilities. The complicated denoising trajectory and high dimensionality of the latent space make it extremely challenging to interpret. Existing methods mainly explore the feature space of U-Net in Diffusion Models (DMs) instead of the latent space itself. In contrast, we directly investigate the latent space via Singular Value Decomposition (SVD) and discover three useful properties that can be used to control generation results without the requirements of data collection and maintain identity fidelity generated images. Based on these properties, we propose a novel image editing framework that is capable of learning arbitrary attributes from one pair of latent codes destined by text prompts in Stable Diffusion Models. To validate our approach, extensive experiments are conducted to demonstrate its effectiveness and flexibility in image editing. We will release our codes soon to foster further research and applications in this area.
format Preprint
id arxiv_https___arxiv_org_abs_2502_02225
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exploring the latent space of diffusion models directly through singular value decomposition
Wang, Li
Gao, Boyan
Li, Yanran
Wang, Zhao
Yang, Xiaosong
Clifton, David A.
Xiao, Jun
Computer Vision and Pattern Recognition
Artificial Intelligence
Multimedia
Despite the groundbreaking success of diffusion models in generating high-fidelity images, their latent space remains relatively under-explored, even though it holds significant promise for enabling versatile and interpretable image editing capabilities. The complicated denoising trajectory and high dimensionality of the latent space make it extremely challenging to interpret. Existing methods mainly explore the feature space of U-Net in Diffusion Models (DMs) instead of the latent space itself. In contrast, we directly investigate the latent space via Singular Value Decomposition (SVD) and discover three useful properties that can be used to control generation results without the requirements of data collection and maintain identity fidelity generated images. Based on these properties, we propose a novel image editing framework that is capable of learning arbitrary attributes from one pair of latent codes destined by text prompts in Stable Diffusion Models. To validate our approach, extensive experiments are conducted to demonstrate its effectiveness and flexibility in image editing. We will release our codes soon to foster further research and applications in this area.
title Exploring the latent space of diffusion models directly through singular value decomposition
topic Computer Vision and Pattern Recognition
Artificial Intelligence
Multimedia
url https://arxiv.org/abs/2502.02225