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In compressed sensing, we wish to reconstruct a sparse signal $x$ from observed data $y$. In sparse coding, on the other hand, we wish to find a representation of an observed signal $y$ as a sparse linear combination, with coefficients $x$,…

Computer Vision and Pattern Recognition · Computer Science 2013-11-25 Will Landecker , Rick Chartrand , Simon DeDeo

We extensively study how to combine Generative Adversarial Networks and learned compression to obtain a state-of-the-art generative lossy compression system. In particular, we investigate normalization layers, generator and discriminator…

Image and Video Processing · Electrical Eng. & Systems 2020-10-26 Fabian Mentzer , George Toderici , Michael Tschannen , Eirikur Agustsson

The widespread adoption of generative image models has highlighted the urgent need to detect artificial content, which is a crucial step in combating widespread manipulation and misinformation. Consequently, numerous detectors and…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Patrick Grommelt , Louis Weiss , Franz-Josef Pfreundt , Janis Keuper

Compressed sensing is a technique for recovering a high-dimensional signal from lower-dimensional data, whose components represent partial information about the signal, utilizing prior knowledge on the sparsity of the signal. For further…

Information Theory · Computer Science 2014-02-18 Yingying Xu , Yoshiyuki Kabashima

Compressed sensing (CS) is a new signal acquisition paradigm that enables the reconstruction of signals and images from a low number of samples. A particularly exciting application of CS is Magnetic Resonance Imaging (MRI), where CS…

Information Theory · Computer Science 2016-08-17 Samuel Birns , Bohyun Kim , Stephanie Ku , Kevin Stangl , Deanna Needell

Compressive spectral imaging (CSI) has emerged as an alternative spectral image acquisition technology, which reduces the number of measurements at the cost of requiring a recovery process. In general, the reconstruction methods are based…

Image and Video Processing · Electrical Eng. & Systems 2021-05-19 Jorge Bacca , Yesid Fonseca , Henry Arguello

Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

Information Theory · Computer Science 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

Information Theory · Computer Science 2013-06-11 Atul Divekar , Deanna Needell

We introduce a recursive algorithm for performing compressed sensing on streaming data. The approach consists of a) recursive encoding, where we sample the input stream via overlapping windowing and make use of the previous measurement in…

Machine Learning · Statistics 2013-12-18 Nikolaos M. Freris , Orhan Öçal , Martin Vetterli

The theory of compressive sensing (CS) asserts that an unknown signal $\mathbf{x} \in \mathbb{C}^N$ can be accurately recovered from $m$ measurements with $m\ll N$ provided that $\mathbf{x}$ is sparse. Most of the recovery algorithms need…

Methodology · Statistics 2017-10-12 Jianfeng Wang , Zhiyong Zhou , Anders Garpebring , Jun Yu

JPEG is one of the popular image compression algorithms that provide efficient storage and transmission capabilities in consumer electronics, and hence it is the most preferred image format over the internet world. In the present digital…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Bulla Rajesh , Mohammed Javed , P Nagabhushan

Intensively growing approach in signal processing and acquisition, the Compressive Sensing approach, allows sparse signals to be recovered from small number of randomly acquired signal coefficients. This paper analyses some of the commonly…

Signal Processing · Electrical Eng. & Systems 2018-02-21 Tamara Koljensic , Caslav Labudovic

Lossy image compression is generally formulated as a joint rate-distortion optimization to learn encoder, quantizer, and decoder. However, the quantizer is non-differentiable, and discrete entropy estimation usually is required for rate…

Computer Vision and Pattern Recognition · Computer Science 2017-09-20 Mu Li , Wangmeng Zuo , Shuhang Gu , Debin Zhao , David Zhang

Signal processing techniques have been developed that use different strategies to bypass the Nyquist sampling theorem in order to recover more information than a traditional discrete Fourier transform. Here we examine three such methods:…

Data Analysis, Statistics and Probability · Physics 2015-02-24 Thomas Markovich , Samuel M. Blau , Jacob N. Sanders , Alan Aspuru-Guzik

In a structural health monitoring (SHM) system that uses digital cameras to monitor cracks of structural surfaces, techniques for reliable and effective data compression are essential to ensure a stable and energy efficient crack images…

Image and Video Processing · Electrical Eng. & Systems 2020-07-15 Yong Huang , Haoyu Zhang , Hui Li , Stephen Wu

Motivated by recent work on deep neural network (DNN)-based image compression methods showing potential improvements in image quality, savings in storage, and bandwidth reduction, we propose to perform image understanding tasks such as…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Robert Torfason , Fabian Mentzer , Eirikur Agustsson , Michael Tschannen , Radu Timofte , Luc Van Gool

We propose a practical approach to JPEG image decoding, utilizing a local implicit neural representation with continuous cosine formulation. The JPEG algorithm significantly quantizes discrete cosine transform (DCT) spectra to achieve a…

Image and Video Processing · Electrical Eng. & Systems 2024-04-09 Woo Kyoung Han , Sunghoon Im , Jaedeok Kim , Kyong Hwan Jin

Over the last decades, images have become an important source of information in many domains, thus their high quality has become necessary to acquire better information. One of the important issues that arise is image denoising, which means…

Image and Video Processing · Electrical Eng. & Systems 2021-11-16 T. Kalampokas , G. A. Papakostas

Images are a substantial portion of the internet, making efficient compression important for reducing storage and bandwidth demands. This study investigates the use of Singular Value Decomposition and low-rank matrix approximations for…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Justin Jiang

Compressed sensing (CS) is a sampling paradigm that allows to simultaneously measure and compress signals that are sparse or compressible in some domain. The choice of a sensing matrix that carries out the measurement has a defining impact…

Information Theory · Computer Science 2017-08-02 Anastasia Lavrenko , Florian Roemer , Giovanni Del Galdo , Reiner Thomae
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