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Xampling generalizes compressed sensing (CS) to reduced-rate sampling of analog signals. A unified framework is introduced for low rate sampling and processing of signals lying in a union of subspaces. Xampling consists of two main blocks:…

Information Theory · Computer Science 2015-03-19 Moshe Mishali , Yonina C. Eldar

In passive monitoring using sensor networks, low energy supplies drastically constrain sensors in terms of calculation and communication abilities. Designing processing algorithms at the sensor level that take into account these constraints…

Applications · Statistics 2015-11-23 Augusto Zebadua , Pierre-Olivier Amblard , Eric Moisan , Olivier . J. J. Michel

Task-adapted compressed sensing magnetic resonance imaging (CS-MRI) is emerging to address the specific demands of downstream clinical tasks with significantly fewer k-space measurements than required by Nyquist sampling. However, existing…

Machine Learning · Computer Science 2026-04-15 Xinyu Peng , Ziyang Zheng , Wenrui Dai , Duoduo Xue , Shaohui Li , Chenglin Li , Junni Zou , Hongkai Xiong

In x-ray computed tomography (CT) it is generally acknowledged that reconstruction methods exploiting image sparsity allow reconstruction from a significantly reduced number of projections. The use of such reconstruction methods is…

Numerical Analysis · Mathematics 2014-08-05 Jakob S. Jørgensen , Emil Y. Sidky , Per Christian Hansen , Xiaochuan Pan

Existing learning-based stereo image codec adopt sophisticated transformation with simple entropy models derived from single image codecs to encode latent representations. However, those entropy models struggle to effectively capture the…

Image and Video Processing · Electrical Eng. & Systems 2025-02-11 Xinjie Zhang , Shenyuan Gao , Zhening Liu , Jiawei Shao , Xingtong Ge , Dailan He , Tongda Xu , Yan Wang , Jun Zhang

Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only "approximately sparse", i.e. even though the signal contains only a small fraction of relevant (large)…

Information Theory · Computer Science 2013-04-04 Jean Barbier , Florent Krzakala , Marc Mézard , Lenka Zdeborová

This paper provides an extension of compressed sensing which bridges a substantial gap between existing theory and its current use in real-world applications. It introduces a mathematical framework that generalizes the three standard…

Information Theory · Computer Science 2014-06-24 Ben Adcock , Anders C. Hansen , Clarice Poon , Bogdan Roman

CTR prediction is essential for modern recommender systems. Ranging from early factorization machines to deep learning based models in recent years, existing CTR methods focus on capturing useful feature interactions or mining important…

Information Retrieval · Computer Science 2022-01-31 Wei Guo , Can Zhang , Zhicheng He , Jiarui Qin , Huifeng Guo , Bo Chen , Ruiming Tang , Xiuqiang He , Rui Zhang

With the advent of multi-coil imaging and compressed sensing, a number of model based reconstruction algorithms have been created. They incorporate a multitude of different regularization functions based on physics, observed phenomenology,…

Image and Video Processing · Electrical Eng. & Systems 2023-02-03 Nicholas Dwork , Ethan M. I. Johnson , Daniel O'Connor , Jeremy W. Gordon , Adam B. Kerr , Corey A. Baron , John M. Pauly , Peder E. Z. Larson

Integrated sensing and communication (ISAC) is a promising technique to provide sensing services in future wireless networks. Numerous existing works have adopted a monostatic radar architecture to realize ISAC, i.e., employing the same…

Information Theory · Computer Science 2023-05-17 Dongfang Xu , Chang Liu , Shenghui Song , Derrick Wing Kwan Ng

We propose novel compression algorithms for time-varying channel state information (CSI) in wireless communications. The proposed scheme combines (lossy) vector quantisation and (lossless) compression. First, the new vector quantisation…

Information Theory · Computer Science 2022-10-04 Henrique K. Miyamoto , Sheng Yang

Compressed Sensing (CS) seeks to recover an unknown vector with $N$ entries by making far fewer than $N$ measurements; it posits that the number of compressed sensing measurements should be comparable to the information content of the…

Information Theory · Computer Science 2010-04-29 Jeffrey D. Blanchard , Coralia Cartis , Jared Tanner

Compressive sensing is a signal processing technique that enables the reconstruction of sparse signals from a limited number of measurements, leveraging the signal's inherent sparsity to facilitate efficient recovery. Recent works on the…

Quantum Physics · Physics 2025-01-22 Naveed Naimipour , Collin Frink , Harry Shaw , Haleh Safavi , Mojtaba Soltanalian

We investigate the problem of recovering a structured sparse signal from a linear observation model with an uncertain dynamic grid in the sensing matrix. The state-of-the-art expectation maximization based compressed sensing (EM-CS)…

Signal Processing · Electrical Eng. & Systems 2024-07-25 An Liu , Yufan Zhou , Wenkang Xu

Existing convex relaxation-based approaches to reconstruction in compressed sensing assume that noise in the measurements is independent of the signal of interest. We consider the case of noise being linearly correlated with the signal and…

Information Theory · Computer Science 2014-01-03 Thomas Arildsen , Torben Larsen

This paper studies integrated sensing and communication (ISAC) systems with two rate-limited helpers who observe the channel state sequence and the feedback sequence, respectively. Depending on the timing of compressing and using the state…

Information Theory · Computer Science 2025-02-14 Yiqi Chen , Holger Boche , Tobias J. Oechtering , Mikael Skoglund

In Bora et al. (2017), a mathematical framework was developed for compressed sensing guarantees in the setting where the measurement matrix is Gaussian and the signal structure is the range of a generative neural network (GNN). The problem…

Information Theory · Computer Science 2022-11-10 Aaron Berk , Simone Brugiapaglia , Babhru Joshi , Yaniv Plan , Matthew Scott , Özgür Yilmaz

This paper presents a new Compressive Sensing (CS) scheme for detecting network congested links. We focus on decreasing the required number of measurements to detect all congested links in the context of network tomography. We have expanded…

Networking and Internet Architecture · Computer Science 2013-01-24 Hoda S. Ayatollahi Tabatabaii , Hamid R. Rabiee , Mohammad Hossein Rohban , Mostafa Salehi

Compressed Sensing (CS) is an appealing framework for applications such as Magnetic Resonance Imaging (MRI). However, up-to-date, the sensing schemes suggested by CS theories are made of random isolated measurements, which are usually…

Information Theory · Computer Science 2016-06-14 Claire Boyer , Jérémie Bigot , Pierre Weiss

This paper introduces Associative Compression Networks (ACNs), a new framework for variational autoencoding with neural networks. The system differs from existing variational autoencoders (VAEs) in that the prior distribution used to model…

Neural and Evolutionary Computing · Computer Science 2018-04-27 Alex Graves , Jacob Menick , Aaron van den Oord
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