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A class of recovering algorithms for 1-bit compressive sensing (CS) named Soft Consistency Reconstructions (SCRs) are proposed. Recognizing that CS recovery is essentially an optimization problem, we endeavor to improve the characteristics…

Information Theory · Computer Science 2014-02-25 Xiao Cai , Zhaoyang Zhang , Huazi Zhang , Chunguang Li

We propose a novel method for compressed sensing recovery using untrained deep generative models. Our method is based on the recently proposed Deep Image Prior (DIP), wherein the convolutional weights of the network are optimized to match…

Compressive sensing (CS) is an emerging sampling technology that enables reconstructing signals from a subset of measurements and even corrupted measurements. Deep learning-based compressive sensing (DCS) has improved CS performance while…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Thuong , Nguyen Canh , Chien , Trinh Van

As a promising key technology of 6th generation (6G) mobile communication system, integrated sensing and communication (ISAC) technology aims to make full use of spectrum resources to enable the functional integration of communication and…

Signal Processing · Electrical Eng. & Systems 2024-04-22 Haotian Liu , Zhiqing Wei , Fengyun Li , Yuewei Lin , Hanyang Qu , Huici Wu , Zhiyong Feng

Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hyunseok Park , Xilin Liu

This paper presents iterative Sequential Action Control (iSAC), a receding horizon approach for control of nonlinear systems. The iSAC method has a closed-form open-loop solution, which is iteratively updated between time steps by…

Robotics · Computer Science 2018-11-01 Emmanouil Tzorakoleftherakis , Todd Murphey

The replica method is a non-rigorous but well-known technique from statistical physics used in the asymptotic analysis of large, random, nonlinear problems. This paper applies the replica method, under the assumption of replica symmetry, to…

Information Theory · Computer Science 2015-01-20 Sundeep Rangan , Alyson K. Fletcher , Vivek K Goyal

Commonly employed reconstruction algorithms in compressed sensing (CS) use the $L_2$ norm as the metric for the residual error. However, it is well-known that least squares (LS) based estimators are highly sensitive to outliers present in…

Information Theory · Computer Science 2013-11-28 Rafael E. Carrillo , Kenneth E. Barner

This paper investigates the problem of recovering missing samples using methods based on sparse representation adapted especially for image signals. Instead of $l_2$-norm or Mean Square Error (MSE), a new perceptual quality measure is used…

Machine Learning · Computer Science 2017-10-18 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

Snapshot compressive imaging (SCI) refers to compressive imaging systems where multiple frames are mapped into a single measurement, with video compressive imaging and hyperspectral compressive imaging as two representative applications.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Yang Liu , Xin Yuan , Jinli Suo , David J. Brady , Qionghai Dai

This paper observes the application of the Compressive Sensing in reconstruction of the under-sampled iris images. Iris recognition represents form of biometric identification whose usage in real applications is growing. Compressive Sensing…

Image and Video Processing · Electrical Eng. & Systems 2019-02-11 Radoje Darmanovic , Tamara Bulatovic , Seid Salkovic

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

Robust compressive sensing(CS) reconstruction has become an attractive research topic in recent years. Robust CS aims to reconstruct the sparse signals under non-Gaussian(i.e. heavy tailed) noises where traditional CS reconstruction…

Information Theory · Computer Science 2017-06-13 Yicong He , Fei Wang , Shiyuan Wang , Jiuwen Cao , Badong Chen

We demonstrate through numerical simulations with real data the feasibility of using compressive sensing techniques for the acquisition of spectro-polarimetric data. This allows us to combine the measurement and the compression process into…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 A. Asensio Ramos , A. Lopez Ariste

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

Information Theory · Computer Science 2015-07-03 Yipeng Liu

This work investigates a practical reconfigurable intelligent surface (RIS)-aided integrated sensing and communication (ISAC) system, where a subset of RIS elements fail to function properly and reflect incident signals randomly towards…

Signal Processing · Electrical Eng. & Systems 2025-11-03 Lu Wang , Gui Zhou , Changheng Li , Luis F. Abanto-Leon , Nairy Moghadas Gholian , Matthias Hollick , Arash Asadi

We provide new recovery bounds for hierarchical compressed sensing (HCS) based on prior support information (PSI). A detailed PSI-enabled reconstruction model is formulated using various forms of PSI. The hierarchical block orthogonal…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Liyang Lu , Haochen Wu , Wenbo Xu , Zhaocheng Wang , H. Vincent Poor

Reconstruction of signals from compressively sensed measurements is an ill-posed problem. In this paper, we leverage the recurrent generative model, RIDE, as an image prior for compressive image reconstruction. Recurrent networks can model…

Computer Vision and Pattern Recognition · Computer Science 2017-05-05 Akshat Dave , Anil Kumar Vadathya , Kaushik Mitra

This paper proposes a simple adaptive sensing and group testing algorithm for sparse signal recovery. The algorithm, termed Compressive Adaptive Sense and Search (CASS), is shown to be near-optimal in that it succeeds at the lowest possible…

Information Theory · Computer Science 2014-04-30 Matthew L. Malloy , Robert D. Nowak

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