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Neural network systems describe complex mappings that can be very difficult to understand. In this paper, we study the inverse problem of determining the input images that get mapped to specific neural network classes. Ultimately, we expect…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Rebecca Pattichis , Sebastian Janampa , Constantinos S. Pattichis , Marios S. Pattichis

Learning a good image prior is a long-term goal for image restoration and manipulation. While existing methods like deep image prior (DIP) capture low-level image statistics, there are still gaps toward an image prior that captures rich…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Xingang Pan , Xiaohang Zhan , Bo Dai , Dahua Lin , Chen Change Loy , Ping Luo

Inverse problems exist in many domains such as phase imaging, image processing, and computer vision. These problems are often solved with application-specific algorithms, even though their nature remains the same: mapping input image(s) to…

Computational Physics · Physics 2021-10-22 Feng Wang , Alberto Eljarrat , Johannes Müller , Trond Henninen , Erni Rolf , Christoph Koch

The CSGM framework (Bora-Jalal-Price-Dimakis'17) has shown that deep generative priors can be powerful tools for solving inverse problems. However, to date this framework has been empirically successful only on certain datasets (for…

Machine Learning · Computer Science 2021-12-07 Ajil Jalal , Marius Arvinte , Giannis Daras , Eric Price , Alexandros G. Dimakis , Jonathan I. Tamir

Neural networks have become a prominent approach to solve inverse problems in recent years. While a plethora of such methods was developed to solve inverse problems empirically, we are still lacking clear theoretical guarantees for these…

Machine Learning · Computer Science 2024-03-19 Nathan Buskulic , Jalal Fadili , Yvain Quéau

A critical factor in trustworthy machine learning is to develop robust representations of the training data. Only under this guarantee methods are legitimate to artificially generate data, for example, to counteract imbalanced datasets or…

Machine Learning · Computer Science 2024-12-12 Leon Scharwächter , Sebastian Otte

Computed medical imaging systems require a computational reconstruction procedure for image formation. In order to recover a useful estimate of the object to-be-imaged when the recorded measurements are incomplete, prior knowledge about the…

Image and Video Processing · Electrical Eng. & Systems 2022-02-21 Varun A. Kelkar , Mark A. Anastasio

We introduce a novel generative autoencoder network model that learns to encode and reconstruct images with high quality and resolution, and supports smooth random sampling from the latent space of the encoder. Generative adversarial…

Machine Learning · Computer Science 2018-10-10 Ari Heljakka , Arno Solin , Juho Kannala

Solving ill-posed inverse problems requires careful formulation of prior beliefs over the signals of interest and an accurate description of their manifestation into noisy measurements. Handcrafted signal priors based on e.g. sparsity are…

Machine Learning · Computer Science 2025-08-14 Tristan S. W. Stevens , Hans van Gorp , Faik C. Meral , Junseob Shin , Jason Yu , Jean-Luc Robert , Ruud J. G. van Sloun

Deep learning-based models have demonstrated remarkable success in solving illposed inverse problems; however, many fail to strictly adhere to the physical constraints imposed by the measurement process. In this work, we introduce a…

Machine Learning · Computer Science 2025-05-22 Jorge Bacca

Many interesting tasks in image restoration can be cast as linear inverse problems. A recent family of approaches for solving these problems uses stochastic algorithms that sample from the posterior distribution of natural images given the…

Image and Video Processing · Electrical Eng. & Systems 2022-10-14 Bahjat Kawar , Michael Elad , Stefano Ermon , Jiaming Song

Generative adversarial networks (GANs) offer an effective solution to the image-to-image translation problem, thereby allowing for new possibilities in medical imaging. They can translate images from one imaging modality to another at a low…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Agnieszka Tomczak , Aarushi Gupta , Slobodan Ilic , Nassir Navab , Shadi Albarqouni

Critical aspects of computational imaging systems, such as experimental design and image priors, can be optimized through deep networks formed by the unrolled iterations of classical model-based reconstructions (termed physics-based…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Michael Kellman , Kevin Zhang , Jon Tamir , Emrah Bostan , Michael Lustig , Laura Waller

The pretrained diffusion model as a strong prior has been leveraged to address inverse problems in a zero-shot manner without task-specific retraining. Different from the unconditional generation, the measurement-guided generation requires…

Optimization and Control · Mathematics 2025-03-14 Ji Li , Chao Wang

Generative models for deep learning are promising both to improve understanding of the model, and yield training methods requiring fewer labeled samples. Recent works use generative model approaches to produce the deep net's input given the…

Machine Learning · Computer Science 2015-11-23 Sanjeev Arora , Yingyu Liang , Tengyu Ma

Neural networks have proven their capabilities by outperforming many other approaches on regression or classification tasks on various kinds of data. Other astonishing results have been achieved using neural nets as data generators,…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Andrej Junginger , Markus Hanselmann , Thilo Strauss , Sebastian Boblest , Jens Buchner , Holger Ulmer

Diffusion models have emerged as the new state-of-the-art generative model with high quality samples, with intriguing properties such as mode coverage and high flexibility. They have also been shown to be effective inverse problem solvers,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Hyungjin Chung , Dohoon Ryu , Michael T. McCann , Marc L. Klasky , Jong Chul Ye

Image prior modeling is the key issue in image recovery, computational imaging, compresses sensing, and other inverse problems. Recent algorithms combining multiple effective priors such as the sparse or low-rank models, have demonstrated…

Image and Video Processing · Electrical Eng. & Systems 2020-03-31 Bihan Wen , Yanjun Li , Yuqi Li , Yoram Bresler

In the past few years, deep learning-based methods have demonstrated enormous success for solving inverse problems in medical imaging. In this work, we address the following question:\textit{Given a set of measurements obtained from real…

Image and Video Processing · Electrical Eng. & Systems 2019-05-24 Ortal Senouf , Sanketh Vedula , Tomer Weiss , Alex Bronstein , Oleg Michailovich , Michael Zibulevsky

The inherent generative power of denoising diffusion models makes them well-suited for image restoration tasks where the objective is to find the optimal high-quality image within the generative space that closely resembles the input image.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Zheng Ding , Xuaner Zhang , Zhuowen Tu , Zhihao Xia