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The Binary Iterative Hard Thresholding (BIHT) algorithm is a popular reconstruction method for one-bit compressed sensing due to its simplicity and fast empirical convergence. There have been several works about BIHT but a theoretical…

Information Theory · Computer Science 2020-12-24 Michael P. Friedlander , Halyun Jeong , Yaniv Plan , Ozgur Yilmaz

To fully utilize the spatial multiplexing gains or array gains of massive MIMO, the channel state information must be obtained at the transmitter side (CSIT). However, conventional CSIT estimation approaches are not suitable for FDD massive…

Information Theory · Computer Science 2015-06-19 Xiongbin Rao , Vincent K. N. Lau

This contribution proposes a two stage strategy to allow for phase retrieval in state of the art sub-Nyquist sampling schemes for sparse multiband signals. The proposed strategy is based on data acquisition via modulated wideband converters…

Information Theory · Computer Science 2015-09-29 Çağkan Yapar , Volker Pohl , Holger Boche

Reconstruction in limited-angle digital breast tomosynthesis (DBT) suffers from slow convergence of low spatial-frequency components when using weighted data-fidelity terms within primal-dual optimization. We introduce a two-channel…

Optimization and Control · Mathematics 2026-03-26 Taro Iyadomi , Ricardo Parada , Anna Kim , Lily Jiang , Emil Sidky , William Chang

We study the problem of recovering sparse signals from compressed linear measurements. This problem, often referred to as sparse recovery or sparse reconstruction, has generated a great deal of interest in recent years. To recover the…

Methodology · Statistics 2016-01-01 Jian Wang , Ping Li

Fusion frames are collection of subspaces which provide a redundant representation of signal spaces. They generalize classical frames by replacing frame vectors with frame subspaces. This paper considers the sparse recovery of a signal from…

Information Theory · Computer Science 2018-04-09 Ulaş Ayaz

Compressed sensing of simultaneously sparse and low-rank matrices enables recovery of sparse signals from a few linear measurements of their bilinear form. One important question is how many measurements are needed for a stable…

Information Theory · Computer Science 2016-07-01 Kiryung Lee , Yihong Wu , Yoram Bresler

This paper addresses the problem of simultaneous signal recovery and dictionary learning based on compressive measurements. Multiple signals are analyzed jointly, with multiple sensing matrices, under the assumption that the unknown signals…

Information Theory · Computer Science 2015-03-19 Jorge Silva , Minhua Chen , Yonina C. Eldar , Guillermo Sapiro , Lawrence Carin

$\ell_1$ minimization can be used to recover sufficiently sparse unknown signals from compressed linear measurements. In fact, exact thresholds on the sparsity (the size of the support set), under which with high probability a sparse signal…

Information Theory · Computer Science 2011-03-17 Weiyu Xu , Ao Tang

Deep metric learning has yielded impressive results in tasks such as clustering and image retrieval by leveraging neural networks to obtain highly discriminative feature embeddings, which can be used to group samples into different classes.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Ismail Elezi , Jenny Seidenschwarz , Laurin Wagner , Sebastiano Vascon , Alessandro Torcinovich , Marcello Pelillo , Laura Leal-Taixe

In this paper, we consider the block-sparse signals recovery problem in the context of multiple measurement vectors (MMV) with common row sparsity patterns. We develop a new method for recovery of common row sparsity MMV signals, where a…

Machine Learning · Computer Science 2017-11-07 Hang Xiao , Zhengli Xing , Linxiao Yang , Jun Fang , Yanlun Wu

The aim of sparse phase retrieval is to recover a $k$-sparse signal $\mathbf{x}_0\in \mathbb{C}^{d}$ from quadratic measurements $|\langle \mathbf{a}_i,\mathbf{x}_0\rangle|^2$ where $\mathbf{a}_i\in \mathbb{C}^d, i=1,\ldots,m$. Noting…

Functional Analysis · Mathematics 2021-05-05 Yu Xia , Zhiqiang Xu

This paper proposes an off-grid channel estimation scheme for orthogonal time-frequency space (OTFS) systems adopting the sparse Bayesian learning (SBL) framework. To avoid channel spreading caused by the fractional delay and Doppler shifts…

Information Theory · Computer Science 2021-01-15 Zhiqiang Wei , Weijie Yuan , Shuangyang Li , Jinhong Yuan , Derrick Wing Kwan Ng

Compressive sensing (CS) has recently emerged as an extremely efficient technology of the wideband spectrum sensing. In compressive spectrum sensing (CSS), it is necessary to know the sparsity or the noise information in advance for…

Signal Processing · Electrical Eng. & Systems 2022-11-15 Liyang Lu , Wenbo Xu , Yue Wang , Zhi Tian

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 present a computationally-efficient method for recovering sparse signals from a series of noisy observations, known as the problem of compressed sensing (CS). CS theory requires solving a convex constrained minimization problem. We…

Information Theory · Computer Science 2010-06-22 Avishy Carmi , Pini Gurfil

Sparse learning has been widely studied to capture critical information from enormous data sources in the filed of system identification. Often, it is essential to understand internal working mechanisms of unknown systems (e.g. biological…

Signal Processing · Electrical Eng. & Systems 2020-08-11 Junlin Li , Wei Zhou , Cheng Cheng

We introduce a new weakly-convex penalty function for signals with a group behavior. The penalty promotes signals with a few number of active groups, where within each group, only a few high magnitude coefficients are active. We derive the…

Numerical Analysis · Computer Science 2017-08-02 İlker Bayram , Savaşkan Bulek

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

Turbo compressed sensing (Turbo-CS) is an efficient iterative algorithm for sparse signal recovery with partial orthogonal sensing matrices. In this paper, we extend the Turbo-CS algorithm to solve compressed sensing problems involving more…

Information Theory · Computer Science 2017-03-28 Zhipeng Xue , Junjie Ma , Xiaojun Yuan
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