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Block-Sparse Recovery via Convex Optimization [PDF]

open access: yes, 2012
Given a dictionary that consists of multiple blocks and a signal that lives in the range space of only a few blocks, we study the problem of finding a block-sparse representation of the signal, i.e., a representation that uses the minimum number of ...
Ehsan Elhamifar   +3 more
core   +1 more source

New Sufficient Conditions of Signal Recovery With Tight Frames via ${l}_1$ -Analysis Approach

open access: yesIEEE Access, 2018
This paper discusses the recovery of signals that are nearly sparse with respect to a tight frame D by means of the l1-analysis approach. We establish several new sufficient conditions regarding the D-restricted isometry property to ensure stable ...
Jianwen Huang   +3 more
doaj   +1 more source

Sparse System Identification of Leptin Dynamics in Women With Obesity

open access: yesFrontiers in Endocrinology, 2022
The prevalence of obesity is increasing around the world at an alarming rate. The interplay of the hormone leptin with the hypothalamus-pituitary-adrenal axis plays an important role in regulating energy balance, thereby contributing to obesity.
Md. Rafiul Amin   +5 more
doaj   +1 more source

Robust sparse recovery with sparse Bernoulli matrices via expanders

open access: yesApplied and Computational Harmonic Analysis, 2022
Sparse binary matrices are of great interest in the field of sparse recovery, nonnegative compressed sensing, statistics in networks, and theoretical computer science. This class of matrices makes it possible to perform signal recovery with lower storage costs and faster decoding algorithms.
openaire   +3 more sources

Three-Dimensional Imaging of Terahertz Circular SAR with Sparse Linear Array

open access: yesSensors, 2018
Due to the non-contact detection ability of radar and the harmlessness of terahertz waves to the human body, three-dimensional (3D) imaging using terahertz synthetic aperture radar (SAR) is an efficient method of security detection in public areas.
Jubo Hao, Jin Li, Yiming Pi
doaj   +1 more source

Reliable recovery of hierarchically sparse signals for Gaussian and Kronecker product measurements

open access: yes, 2020
We propose and analyze a solution to the problem of recovering a block sparse signal with sparse blocks from linear measurements. Such problems naturally emerge inter alia in the context of mobile communication, in order to meet the scalability and low ...
Eisert, Jens   +4 more
core   +1 more source

Sparse recovery via differential inclusions

open access: yesApplied and Computational Harmonic Analysis, 2016
In this paper, we recover sparse signals from their noisy linear measurements by solving nonlinear differential inclusions, which is based on the notion of inverse scale space (ISS) developed in applied mathematics. Our goal here is to bring this idea to address a challenging problem in statistics, \emph{i.e.} finding the oracle estimator which is ...
Stanley Osher   +4 more
openaire   +4 more sources

Sparse Auto-Calibration for Radar Coincidence Imaging with Gain-Phase Errors

open access: yesSensors, 2015
Radar coincidence imaging (RCI) is a high-resolution staring imaging technique without the limitation of relative motion between target and radar. The sparsity-driven approaches are commonly used in RCI, while the prior knowledge of imaging models needs ...
Xiaoli Zhou   +3 more
doaj   +1 more source

Recovery of Low-Rank Plus Compressed Sparse Matrices with Application to Unveiling Traffic Anomalies

open access: yes, 2012
Given the superposition of a low-rank matrix plus the product of a known fat compression matrix times a sparse matrix, the goal of this paper is to establish deterministic conditions under which exact recovery of the low-rank and sparse components ...
Giannakis, Georgios B.   +2 more
core   +1 more source

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

open access: yesMolecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson   +9 more
wiley   +1 more source

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