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We demonstrate that a sparse signal can be estimated from the phase of complex random measurements, in a "phase-only compressive sensing" (PO-CS) scenario. With high probability and up to a global unknown amplitude, we can perfectly recover…

Information Theory · Computer Science 2020-11-13 Laurent Jacques , Thomas Feuillen

In this paper, we propose majority voting neural networks for sparse signal recovery in binary compressed sensing. The majority voting neural network is composed of several independently trained feedforward neural networks employing the…

Information Theory · Computer Science 2016-11-01 Daisuke Ito , Tadashi Wadayama

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 present DeepFPC, a novel deep neural network designed by unfolding the iterations of the fixed-point continuation algorithm with one-sided l1-norm (FPC-l1), which has been proposed for solving the 1-bit compressed sensing problem. The…

Machine Learning · Computer Science 2019-12-05 Peng Xiao , Bin Liao , Nikos Deligiannis

Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition of sparse or compressible signals that can be well approximated by just K << N elements from an N-dimensional basis. Instead of taking periodic…

Information Theory · Computer Science 2016-11-17 Richard G. Baraniuk , Volkan Cevher , Marco F. Duarte , Chinmay Hegde

A blind compressive sensing algorithm is proposed to reconstruct hyperspectral images from spectrally-compressed measurements.The wavelength-dependent data are coded and then superposed, mapping the three-dimensional hyperspectral datacube…

Computer Vision and Pattern Recognition · Computer Science 2015-10-28 Xin Yuan , Tsung-Han Tsai , Ruoyu Zhu , Patrick Llull , David Brady , Lawrence Carin

This work studies the problem of simultaneously separating and reconstructing signals from compressively sensed linear mixtures. We assume that all source signals share a common sparse representation basis. The approach combines classical…

Information Theory · Computer Science 2015-05-30 Martin Kleinsteuber , Hao Shen

Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

Information Theory · Computer Science 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

This paper proposes a federated learning technique for deep algorithm unfolding with applications to sparse signal recovery and compressed sensing. We refer to this architecture as Fed-CS. Specifically, we unfold and learn the iterative…

Signal Processing · Electrical Eng. & Systems 2020-10-27 Komal Krishna Mogilipalepu , Sumanth Kumar Modukuri , Amarlingam Madapu , Sundeep Prabhakar Chepuri

Nonlocal self-similarity and group sparsity have been widely utilized in image compressive sensing (CS). However, when the sampling rate is low, the internal prior information of degraded images may be not enough for accurate restoration,…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Lizhao Li , Song Xiao

Distributed Compressive Sensing (DCS) improves the signal recovery performance of multi signal ensembles by exploiting both intra- and inter-signal correlation and sparsity structure. However, the existing DCS was proposed for a very…

Information Theory · Computer Science 2012-11-29 Jeonghun Park , Seunggye Hwang , Janghoon Yang , Dongku Kim

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. Hence, CS can be thought of as a natural candidate for acquisition of multidimensional signals, as the…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Simeon Kamden-Kuiteng , Andrea Abrardo , Mauro Barni , Enrico Magli

Compressed Sensing (CS) is a signal processing technique which can accurately recover sparse signals from linear measurements with far fewer number of measurements than those required by the classical Shannon-Nyquist theorem. Block sparse…

Information Theory · Computer Science 2019-01-30 Haifeng Li , Jinming Wen

We address the issue of applying quantized compressed sensing (CS) on low-energy telemonitoring. So far, few works studied this problem in applications where signals were only approximately sparse. We propose a two-stage data compressor…

Information Theory · Computer Science 2015-06-09 Benyuan Liu , Hongqi Fan , Qiang Fu , Zhilin Zhang

Compressive Sensing (CS) is a new technique for the efficient acquisition of signals, images, and other data that have a sparse representation in some basis, frame, or dictionary. By sparse we mean that the N-dimensional basis…

Information Theory · Computer Science 2015-05-18 Chinmay Hegde , Richard G. Baraniuk

The characterization of a binary function by partial frequency information is considered. We show that it is possible to reconstruct binary signals from incomplete frequency measurements via the solution of a simple linear optimization…

Information Theory · Computer Science 2012-04-19 Yu Mao

This work proposes a decentralized, iterative, Bayesian algorithm called CB-DSBL for in-network estimation of multiple jointly sparse vectors by a network of nodes, using noisy and underdetermined linear measurements. The proposed algorithm…

Machine Learning · Computer Science 2016-11-15 Saurabh Khanna , Chandra R. Murthy

This paper studies the problem of recovering a signal from one-bit compressed sensing measurements under a manifold model; that is, assuming that the signal lies on or near a manifold of low intrinsic dimension. We provide a convex recovery…

Information Theory · Computer Science 2020-07-24 Mark A. Iwen , Felix Krahmer , Sara Krause-Solberg , Johannes Maly

We propose two novel approaches to the recovery of an (approximately) sparse signal from noisy linear measurements in the case that the signal is a priori known to be non-negative and obey given linear equality constraints, such as simplex…

Information Theory · Computer Science 2015-06-17 Jeremy Vila , Philip Schniter

Sensor selection refers to the problem of intelligently selecting a small subset of a collection of available sensors to reduce the sensing cost while preserving signal acquisition performance. The majority of sensor selection algorithms…

Other Computer Science · Computer Science 2017-02-27 Amirali Aghazadeh , Mohammad Golbabaee , Andrew S. Lan , Richard G. Baraniuk
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