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In recent works, both sparsity-based methods as well as learning-based methods have proven to be successful in solving several challenging linear inverse problems. However, sparsity priors for natural signals and images suffer from poor…

Machine Learning · Statistics 2018-02-26 Viraj Shah , Chinmay Hegde

The projected gradient descent (PGD) method has shown to be effective in recovering compressed signals described in a data-driven way by a generative model, i.e., a generator which has learned the data distribution. Further reconstruction…

Machine Learning · Computer Science 2021-09-03 Muhammad Fadli Damara , Gregor Kornhardt , Peter Jung

Generative Adversarial Networks (GANs) produce high-quality images but are challenging to train. They need careful regularization, vast amounts of compute, and expensive hyper-parameter sweeps. We make significant headway on these issues by…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Axel Sauer , Kashyap Chitta , Jens Müller , Andreas Geiger

In the past few years, Generative Adversarial Networks (GANs) have dramatically advanced our ability to represent and parameterize high-dimensional, non-linear image manifolds. As a result, they have been widely adopted across a variety of…

Computer Vision and Pattern Recognition · Computer Science 2020-05-01 Rushil Anirudh , Jayaraman J. Thiagarajan , Bhavya Kailkhura , Timo Bremer

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

Generative Adversarial Networks are used for generating the data using a generator and a discriminator, GANs usually produce high-quality images, but training GANs in an adversarial setting is a difficult task. GANs require high computation…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Md Nurul Muttakin , Malik Shahid Sultan , Robert Hoehndorf , Hernando Ombao

Limited angle CT reconstruction is an under-determined linear inverse problem that requires appropriate regularization techniques to be solved. In this work we study how pre-trained generative adversarial networks (GANs) can be used to…

Image and Video Processing · Electrical Eng. & Systems 2020-01-30 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle M. Champley

Many crucial tasks of image processing and computer vision are formulated as inverse problems. Thus, it is of great importance to design fast and robust algorithms to solve these problems. In this paper, we focus on generalized projected…

Image and Video Processing · Electrical Eng. & Systems 2025-12-09 Ali Joundi , Yann Traonmilin , Alasdair Newson

Inverse problems consist in reconstructing signals from incomplete sets of measurements and their performance is highly dependent on the quality of the prior knowledge encoded via regularization. While traditional approaches focus on…

Image and Video Processing · Electrical Eng. & Systems 2022-07-04 Antonio Montanaro , Diego Valsesia , Enrico Magli

Generative models, such as GANs, learn an explicit low-dimensional representation of a particular class of images, and so they may be used as natural image priors for solving inverse problems such as image restoration and compressive…

Machine Learning · Computer Science 2025-10-28 Mara Daniels , Paul Hand , Reinhard Heckel

In order to solve the problems of long training time, large consumption of computing resources and huge parameter amount of GAN network in image generation, this paper proposes an improved GAN network model, which is named Faster Projected…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Chuang Wang , Zhengping Li , Yuwen Hao , Lijun Wang , Xiaoxue Li

There remains an important need for the development of image reconstruction methods that can produce diagnostically useful images from undersampled measurements. In magnetic resonance imaging (MRI), for example, such methods can facilitate…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Varun A. Kelkar , Sayantan Bhadra , Mark A. Anastasio

Solving inverse problems continues to be a challenge in a wide array of applications ranging from deblurring, image inpainting, source separation etc. Most existing techniques solve such inverse problems by either explicitly or implicitly…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Rushil Anirudh , Jayaraman J. Thiagarajan , Bhavya Kailkhura , Timo Bremer

Since most inverse problems arising in scientific and engineering applications are ill-posed, prior information about the solution space is incorporated, typically through regularization, to establish a well-posed problem with a unique…

Signal Processing · Electrical Eng. & Systems 2024-06-18 Carter Lyons , Raghu G. Raj , Margaret Cheney

The inverse mapping of GANs'(Generative Adversarial Nets) generator has a great potential value.Hence, some works have been developed to construct the inverse function of generator by directly learning or adversarial learning.While the…

Machine Learning · Computer Science 2017-09-13 Junyu Luo , Yong Xu , Chenwei Tang , Jiancheng Lv

Magnetic resonance image (MRI) reconstruction is a severely ill-posed linear inverse task demanding time and resource intensive computations that can substantially trade off {\it accuracy} for {\it speed} in real-time imaging. In addition,…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Morteza Mardani , Enhao Gong , Joseph Y. Cheng , Shreyas Vasanawala , Greg Zaharchuk , Marcus Alley , Neil Thakur , Song Han , William Dally , John M. Pauly , Lei Xing

In recent years, deep generative models, such as Generative Adversarial Network (GAN), has grabbed significant attention in the field of computer vision. This project focuses on the application of GAN in image deblurring with the aim of…

Computer Vision and Pattern Recognition · Computer Science 2023-12-18 Zhengdong Li

We introduce the Probabilistic Generative Adversarial Network (PGAN), a new GAN variant based on a new kind of objective function. The central idea is to integrate a probabilistic model (a Gaussian Mixture Model, in our case) into the GAN…

Machine Learning · Computer Science 2017-08-08 Hamid Eghbal-zadeh , Gerhard Widmer

We propose two new techniques for training Generative Adversarial Networks (GANs). Our objectives are to alleviate mode collapse in GAN and improve the quality of the generated samples. First, we propose neighbor embedding, a manifold…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Ngoc-Trung Tran , Tuan-Anh Bui , Ngai-Man Cheung

Medical image reconstruction is typically an ill-posed inverse problem. In order to address such ill-posed problems, the prior distribution of the sought after object property is usually incorporated by means of some sparsity-promoting…

Image and Video Processing · Electrical Eng. & Systems 2020-01-30 Sayantan Bhadra , Weimin Zhou , Mark A. Anastasio
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