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Acquiring high-quality data for training discriminative models is a crucial yet challenging aspect of building effective predictive systems. In this paper, we present Diffusion Inversion, a simple yet effective method that leverages the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Yongchao Zhou , Hshmat Sahak , Jimmy Ba

We propose a Bayesian inference framework to estimate uncertainties in inverse scattering problems. Given the observed data, the forward model and their uncertainties, we find the posterior distribution over a finite parameter field…

Numerical Analysis · Mathematics 2020-11-17 Ana Carpio , Sergei Iakunin , Georg Stadler

Generative Adversarial Networks (GANs) have been shown to be powerful and flexible priors when solving inverse problems. One challenge of using them is overcoming representation error, the fundamental limitation of the network in…

Machine Learning · Computer Science 2022-04-12 Sean Gunn , Jorio Cocola , Paul Hand

Image reconstruction based on indirect, noisy, or incomplete data remains an important yet challenging task. While methods such as compressive sensing have demonstrated high-resolution image recovery in various settings, there remain issues…

Numerical Analysis · Mathematics 2023-03-07 Jan Glaubitz , Anne Gelb , Guohui Song

Recently, Generative Adversarial Networks (GANs) have emerged as a popular alternative for modeling complex high dimensional distributions. Most of the existing works implicitly assume that the clean samples from the target distribution are…

Machine Learning · Statistics 2019-02-14 Mohammadreza Soltani , Swayambhoo Jain , Abhinav Sambasivan

Deconvolution is a fundamental inverse problem in signal processing and the prototypical model for recovering a signal from its noisy measurement. Nevertheless, the majority of model-based inversion techniques require knowledge on the…

Signal Processing · Electrical Eng. & Systems 2020-07-23 Arttu Arjas , Lassi Roininen , Mikko J. Sillanpää , Andreas Hauptmann

In recent years, research on image generation methods has been developing fast. The auto-encoding variational Bayes method (VAEs) was proposed in 2013, which uses variational inference to learn a latent space from the image database and…

Computer Vision and Pattern Recognition · Computer Science 2018-07-12 Guoqiang Zhong , Wei Gao , Yongbin Liu , Youzhao Yang

We consider a class of inverse problems characterized by forward operators that are partially specified, non-smooth, and non-differentiable. Although generative inverse solvers have made significant progress, we find that these forward…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Sattwik Basu , Chaitanya Amballa , Zhongweiyang Xu , Jorge Vančo Sampedro , Srihari Nelakuditi , Romit Roy Choudhury

Blind deconvolution problems are severely ill-posed because neither the underlying signal nor the forward operator are not known exactly. Conventionally, these problems are solved by alternating between estimation of the image and kernel…

Image and Video Processing · Electrical Eng. & Systems 2023-12-06 Yash Sanghvi , Yiheng Chi , Stanley H. Chan

Deconvolution of astronomical images is a key aspect of recovering the intrinsic properties of celestial objects, especially when considering ground-based observations. This paper explores the use of diffusion models (DMs) and the Diffusion…

Instrumentation and Methods for Astrophysics · Physics 2025-01-22 Alessio Spagnoletti , Alexandre Boucaud , Marc Huertas-Company , Wassim Kabalan , Biswajit Biswas

Bayesian inversion is central to the quantification of uncertainty within problems arising from numerous applications in science and engineering. To formulate the approach, four ingredients are required: a forward model mapping the unknown…

Machine Learning · Statistics 2025-05-15 O. Deniz Akyildiz , Mark Girolami , Andrew M. Stuart , Arnaud Vadeboncoeur

Recent methods have shown that pre-trained diffusion models can be fine-tuned to enable generative inverse rendering by learning image-conditioned noise-to-intrinsic mapping. Despite their remarkable progress, they struggle to robustly…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Rongjia Zheng , Qing Zhang , Chengjiang Long , Wei-Shi Zheng

We propose a novel modular inference approach combining two different generative models -- generative adversarial networks (GAN) and normalizing flows -- to approximate the posterior distribution of physics-based Bayesian inverse problems…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Agnimitra Dasgupta , Dhruv V Patel , Deep Ray , Erik A Johnson , Assad A Oberai

Diffusion models are now commonly used to solve inverse problems in computational imaging. However, most diffusion-based inverse solvers require complete knowledge of the forward operator to be used. In this work, we introduce a novel…

Image and Video Processing · Electrical Eng. & Systems 2025-09-22 Yuanyun Hu , Evan Bell , Guijin Wang , Yu Sun

There are quite a number of photographs captured under undesirable conditions in the last century. Thus, they are often noisy, regionally incomplete, and grayscale formatted. Conventional approaches mainly focus on one point so that those…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Zhao Yuzhi , Po Lai-Man , Wang Xuehui , Liu Kangcheng , Zhang Yujia , Yu Wing-Yin , Xian Pengfei , Xiong Jingjing

Inverse problems have many applications in science and engineering. In Computer vision, several image restoration tasks such as inpainting, deblurring, and super-resolution can be formally modeled as inverse problems. Recently, methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Sai Bharath Chandra Gutha , Ricardo Vinuesa , Hossein Azizpour

The fact that image datasets are often imbalanced poses an intense challenge for deep learning techniques. In this paper, we propose a method to restore the balance in imbalanced images, by coalescing two concurrent methods, generative…

Machine Learning · Computer Science 2020-04-09 Pourya Shamsolmoali , Masoumeh Zareapoor , Linlin Shen , Abdul Hamid Sadka , Jie Yang

Compensating scarce measurements by inferring them from computational models is a way to address ill-posed inverse problems. We tackle Limited Angle Tomography by completing the set of acquisitions using a generative model and…

Image and Video Processing · Electrical Eng. & Systems 2022-02-02 Emilien Valat , Katayoun Farrahi , Thomas Blumensath

Seismic imaging from sparsely acquired data faces challenges such as low image quality, discontinuities, and migration swing artifacts. Existing convolutional neural network (CNN)-based methods struggle with complex feature distributions…

Geophysics · Physics 2024-08-01 Xingchen Shi , Shijun Cheng , Weijian Mao , Wei Ouyang

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal