Semantic Image Inversion and Editing using Rectified Stochastic Differential Equations

Fuente: arXiv
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Autores principales: Rout, Litu, Chen, Yujia, Ruiz, Nataniel, Caramanis, Constantine, Shakkottai, Sanjay, Chu, Wen-Sheng
Formato: Preprint
Publicado: 2024
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author Rout, Litu
Chen, Yujia
Ruiz, Nataniel
Caramanis, Constantine
Shakkottai, Sanjay
Chu, Wen-Sheng
author_facet Rout, Litu
Chen, Yujia
Ruiz, Nataniel
Caramanis, Constantine
Shakkottai, Sanjay
Chu, Wen-Sheng
contents Generative models transform random noise into images; their inversion aims to transform images back to structured noise for recovery and editing. This paper addresses two key tasks: (i) inversion and (ii) editing of a real image using stochastic equivalents of rectified flow models (such as Flux). Although Diffusion Models (DMs) have recently dominated the field of generative modeling for images, their inversion presents faithfulness and editability challenges due to nonlinearities in drift and diffusion. Existing state-of-the-art DM inversion approaches rely on training of additional parameters or test-time optimization of latent variables; both are expensive in practice. Rectified Flows (RFs) offer a promising alternative to diffusion models, yet their inversion has been underexplored. We propose RF inversion using dynamic optimal control derived via a linear quadratic regulator. We prove that the resulting vector field is equivalent to a rectified stochastic differential equation. Additionally, we extend our framework to design a stochastic sampler for Flux. Our inversion method allows for state-of-the-art performance in zero-shot inversion and editing, outperforming prior works in stroke-to-image synthesis and semantic image editing, with large-scale human evaluations confirming user preference.
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id arxiv_https___arxiv_org_abs_2410_10792
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Semantic Image Inversion and Editing using Rectified Stochastic Differential Equations
Rout, Litu
Chen, Yujia
Ruiz, Nataniel
Caramanis, Constantine
Shakkottai, Sanjay
Chu, Wen-Sheng
Machine Learning
Computer Vision and Pattern Recognition
Generative models transform random noise into images; their inversion aims to transform images back to structured noise for recovery and editing. This paper addresses two key tasks: (i) inversion and (ii) editing of a real image using stochastic equivalents of rectified flow models (such as Flux). Although Diffusion Models (DMs) have recently dominated the field of generative modeling for images, their inversion presents faithfulness and editability challenges due to nonlinearities in drift and diffusion. Existing state-of-the-art DM inversion approaches rely on training of additional parameters or test-time optimization of latent variables; both are expensive in practice. Rectified Flows (RFs) offer a promising alternative to diffusion models, yet their inversion has been underexplored. We propose RF inversion using dynamic optimal control derived via a linear quadratic regulator. We prove that the resulting vector field is equivalent to a rectified stochastic differential equation. Additionally, we extend our framework to design a stochastic sampler for Flux. Our inversion method allows for state-of-the-art performance in zero-shot inversion and editing, outperforming prior works in stroke-to-image synthesis and semantic image editing, with large-scale human evaluations confirming user preference.
title Semantic Image Inversion and Editing using Rectified Stochastic Differential Equations
topic Machine Learning
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2410.10792