Solving General Noisy Inverse Problem via Posterior Sampling: A Policy Gradient Viewpoint

Fuente: arXiv
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Autori principali: Tang, Haoyue, Xie, Tian, Feng, Aosong, Wang, Hanyu, Zhang, Chenyang, Bai, Yang
Natura: Preprint
Pubblicazione: 2024
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author Tang, Haoyue
Xie, Tian
Feng, Aosong
Wang, Hanyu
Zhang, Chenyang
Bai, Yang
author_facet Tang, Haoyue
Xie, Tian
Feng, Aosong
Wang, Hanyu
Zhang, Chenyang
Bai, Yang
contents Solving image inverse problems (e.g., super-resolution and inpainting) requires generating a high fidelity image that matches the given input (the low-resolution image or the masked image). By using the input image as guidance, we can leverage a pretrained diffusion generative model to solve a wide range of image inverse tasks without task specific model fine-tuning. To precisely estimate the guidance score function of the input image, we propose Diffusion Policy Gradient (DPG), a tractable computation method by viewing the intermediate noisy images as policies and the target image as the states selected by the policy. Experiments show that our method is robust to both Gaussian and Poisson noise degradation on multiple linear and non-linear inverse tasks, resulting into a higher image restoration quality on FFHQ, ImageNet and LSUN datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2403_10585
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Solving General Noisy Inverse Problem via Posterior Sampling: A Policy Gradient Viewpoint
Tang, Haoyue
Xie, Tian
Feng, Aosong
Wang, Hanyu
Zhang, Chenyang
Bai, Yang
Image and Video Processing
Artificial Intelligence
Computer Vision and Pattern Recognition
Machine Learning
Solving image inverse problems (e.g., super-resolution and inpainting) requires generating a high fidelity image that matches the given input (the low-resolution image or the masked image). By using the input image as guidance, we can leverage a pretrained diffusion generative model to solve a wide range of image inverse tasks without task specific model fine-tuning. To precisely estimate the guidance score function of the input image, we propose Diffusion Policy Gradient (DPG), a tractable computation method by viewing the intermediate noisy images as policies and the target image as the states selected by the policy. Experiments show that our method is robust to both Gaussian and Poisson noise degradation on multiple linear and non-linear inverse tasks, resulting into a higher image restoration quality on FFHQ, ImageNet and LSUN datasets.
title Solving General Noisy Inverse Problem via Posterior Sampling: A Policy Gradient Viewpoint
topic Image and Video Processing
Artificial Intelligence
Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2403.10585