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In this paper we develop a novel computational sensing framework for sensing and recovering structured signals. When trained on a set of representative signals, our framework learns to take undersampled measurements and recover signals from…

Machine Learning · Statistics 2017-07-12 Ali Mousavi , Gautam Dasarathy , Richard G. Baraniuk

Blind signal separation (BSS) is an important and challenging signal processing task. Given an observed signal which is a superposition of a collection of unknown (hidden/latent) signals, BSS aims at recovering the separate, underlying…

Numerical Analysis · Mathematics 2024-06-25 Truman Hickok , Sriram Nagaraj

This paper addresses an ill-posed problem of recovering a color image from its compressively sensed measurement data. Differently from the typical 1D vector-based approach of the state-of-the-art methods, we exploit the nonlocal…

Image and Video Processing · Electrical Eng. & Systems 2017-11-28 Khanh Quoc Dinh , Thuong Nguyen Canh , Byeungwoo Jeon

There have been many image denoisers using deep neural networks, which outperform conventional model-based methods by large margins. Recently, self-supervised methods have attracted attention because constructing a large real noise dataset…

Image and Video Processing · Electrical Eng. & Systems 2023-07-31 Yeong Il Jang , Keuntek Lee , Gu Yong Park , Seyun Kim , Nam Ik Cho

Compressive sensing (CS) reconstructs images from sub-Nyquist measurements by solving a sparsity-regularized inverse problem. Traditional CS solvers use iterative optimizers with hand crafted sparsifiers, while early data-driven methods…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Pamuditha Somarathne , Tharindu Wickremasinghe , Amashi Niwarthana , A. Thieshanthan , Chamira U. S. Edussooriya , Dushan N. Wadduwage

We investigate the task of learning blind image denoising networks from an unpaired set of clean and noisy images. Such problem setting generally is practical and valuable considering that it is feasible to collect unpaired noisy and clean…

Image and Video Processing · Electrical Eng. & Systems 2020-09-01 Xiaohe Wu , Ming Liu , Yue Cao , Dongwei Ren , Wangmeng Zuo

Recovering high-resolution images from limited sensory data typically leads to a serious ill-posed inverse problem, demanding inversion algorithms that effectively capture the prior information. Learning a good inverse mapping from training…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Morteza Mardani , Qingyun Sun , Shreyas Vasawanala , Vardan Papyan , Hatef Monajemi , John Pauly , David Donoho

The problem of recovering a structured signal from its linear measurements in the presence of speckle noise is studied. This problem appears in many imaging systems such as synthetic aperture radar and optical coherence tomography. The…

Information Theory · Computer Science 2021-08-03 Wenda Zhou , Shirin Jalali , Arian Maleki

The vast work in Deep Learning (DL) has led to a leap in image denoising research. Most DL solutions for this task have chosen to put their efforts on the denoiser's architecture while maximizing distortion performance. However, distortion…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Guy Ohayon , Theo Adrai , Gregory Vaksman , Michael Elad , Peyman Milanfar

Noisy images are a challenge to image compression algorithms due to the inherent difficulty of compressing noise. As noise cannot easily be discerned from image details, such as high-frequency signals, its presence leads to extra bits…

Image and Video Processing · Electrical Eng. & Systems 2024-02-09 Yuxin Xie , Li Yu , Farhad Pakdaman , Moncef Gabbouj

We consider the problem of 3D seismic inversion from pre-stack data using a very small number of seismic sources. The proposed solution is based on a combination of compressed-sensing and machine learning frameworks, known as…

Geophysics · Physics 2023-11-02 Maayan Gelboim , Amir Adler , Yen Sun , Mauricio Araya-Polo

In recent years, large convolutional neural networks have been widely used as tools for image deblurring, because of their ability in restoring images very precisely. It is well known that image deblurring is mathematically modeled as an…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini , James Nagy

Deep neural networks give state-of-the-art accuracy for reconstructing images from few and noisy measurements, a problem arising for example in accelerated magnetic resonance imaging (MRI). However, recent works have raised concerns that…

Image and Video Processing · Electrical Eng. & Systems 2021-06-14 Mohammad Zalbagi Darestani , Akshay S. Chaudhari , Reinhard Heckel

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

Message passing algorithms have been tailored for compressive imaging applications by plugging in different types of off-the-shelf image denoisers. These off-the-shelf denoisers mostly rely on some generic or hand-crafted priors for…

Image and Video Processing · Electrical Eng. & Systems 2025-12-16 Chang Cai , Xiaojun Yuan , Ying-Jun Angela Zhang

Although learning-based image restoration methods have made significant progress, they still struggle with limited generalization to real-world scenarios due to the substantial domain gap caused by training on synthetic data. Existing…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Kang Liao , Zongsheng Yue , Zhouxia Wang , Chen Change Loy

Deep generative modeling has led to new and state of the art approaches for enforcing structural priors in a variety of inverse problems. In contrast to priors given by sparsity, deep models can provide direct low-dimensional…

Optimization and Control · Mathematics 2018-12-12 Wen Huang , Paul Hand , Reinhard Heckel , Vladislav Voroninski

It has long been considered a significant problem to improve the visual quality of lossy image and video compression. Recent advances in computing power together with the availability of large training data sets has increased interest in…

Multimedia · Computer Science 2017-03-30 Aaditya Prakash , Nick Moran , Solomon Garber , Antonella DiLillo , James Storer

Assume you encounter an inverse problem that shall be solved for a large number of data, but no ground-truth data is available. To emulate this encounter, in this study, we assume it is unknown how to solve the imaging problem of Computed…

Deep learning models have significantly improved the visual quality and accuracy on compressive sensing recovery. In this paper, we propose an algorithm for signal reconstruction from compressed measurements with image priors captured by a…

Machine Learning · Computer Science 2020-03-20 Shaojie Xu , Sihan Zeng , Justin Romberg
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