Image Interpolation with Score-based Riemannian Metrics of Diffusion Models

Fuente: arXiv
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Autores principales: Saito, Shinnosuke, Matsubara, Takashi
Formato: Preprint
Publicado: 2025
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author Saito, Shinnosuke
Matsubara, Takashi
author_facet Saito, Shinnosuke
Matsubara, Takashi
contents Diffusion models excel in content generation by implicitly learning the data manifold, yet they lack a practical method to leverage this manifold - unlike other deep generative models equipped with latent spaces. This paper introduces a novel framework that treats the data space of pre-trained diffusion models as a Riemannian manifold, with a metric derived from the score function. Experiments with MNIST and Stable Diffusion show that this geometry-aware approach yields image interpolations that are more realistic, less noisy, and more faithful to prompts than existing methods, demonstrating its potential for improved content generation and editing.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20288
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Image Interpolation with Score-based Riemannian Metrics of Diffusion Models
Saito, Shinnosuke
Matsubara, Takashi
Computer Vision and Pattern Recognition
Diffusion models excel in content generation by implicitly learning the data manifold, yet they lack a practical method to leverage this manifold - unlike other deep generative models equipped with latent spaces. This paper introduces a novel framework that treats the data space of pre-trained diffusion models as a Riemannian manifold, with a metric derived from the score function. Experiments with MNIST and Stable Diffusion show that this geometry-aware approach yields image interpolations that are more realistic, less noisy, and more faithful to prompts than existing methods, demonstrating its potential for improved content generation and editing.
title Image Interpolation with Score-based Riemannian Metrics of Diffusion Models
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2504.20288