Results 11 to 20 of about 359 (123)

The effect of perturbation and noise folding on the recovery performance of low-rank matrix via the nuclear norm minimization

open access: yesIntelligent Systems with Applications, 2022
Previous works in low-rank matrix recovery literature focused on the study of the partially perturbed low-rank matrix recovery model y=A(X)+ω, where y∈RM is the observed vector, A:Rm×n→RM is the measurement operator, X∈Rm×n is the matrix to be recovered,
Zahia Aidene   +2 more
doaj   +1 more source

Probability of correct reconstruction in compressive spectral imaging

open access: yesIngeniería e Investigación, 2016
Coded Aperture Snapshot Spectral Imaging (CASSI) systems capture the 3-dimensional (3D) spatio-spectral information of a scene using a set of 2-dimensional (2D) random coded Focal Plane Array (FPA) measurements.
Samuel Eduardo Pinilla   +2 more
doaj   +1 more source

Restricted Isometry Property of Principal Component Pursuit with Reduced Linear Measurements

open access: yesJournal of Applied Mathematics, 2013
The principal component prsuit with reduced linear measurements (PCP_RLM) has gained great attention in applications, such as machine learning, video, and aligning multiple images.
Qingshan You, Qun Wan, Haiwen Xu
doaj   +1 more source

Stable Sparse Model with Non-Tight Frame

open access: yesApplied Sciences, 2020
Overcomplete representation is attracting interest in image restoration due to its potential to generate sparse representations of signals. However, the problem of seeking sparse representation must be unstable in the presence of noise.
Min Zhang, Yunhui Shi, Na Qi, Baocai Yin
doaj   +1 more source

Restricted p-Isometry Properties of Partially Sparse Signal Recovery

open access: yesDiscrete Dynamics in Nature and Society, 2013
By generalizing the restricted p-isometry property to the partially sparse signal recovery problem, we give a sufficient condition for exactly recovering partially sparse signal via the partial lp minimization (truncated lp minimization) problem with p ...
Haini Bi, Lingchen Kong, Naihua Xiu
doaj   +1 more source

Efficiency of orthogonal super greedy algorithm under the restricted isometry property

open access: yesJournal of Inequalities and Applications, 2019
We investigate the efficiency of orthogonal super greedy algorithm (OSGA) for sparse recovery and approximation under the restricted isometry property (RIP).
Xiujie Wei, Peixin Ye
doaj   +1 more source

Multichannel compressive sensing MRI using noiselet encoding. [PDF]

open access: yesPLoS ONE, 2015
The incoherence between measurement and sparsifying transform matrices and the restricted isometry property (RIP) of measurement matrix are two of the key factors in determining the performance of compressive sensing (CS).
Kamlesh Pawar, Gary Egan, Jingxin Zhang
doaj   +1 more source

A Sharp RIP Condition for Orthogonal Matching Pursuit

open access: yesAbstract and Applied Analysis, 2013
A restricted isometry property (RIP) condition δK+KθK ...
Wei Dan
doaj   +1 more source

A note on orthogonal matching pursuit under restricted isometry property

open access: yesIET Signal Processing, 2022
The orthogonal matching pursuit (OMP) algorithm is a classical greedy algorithm widely used in compressed sensing. The number of iterations required for the OMP algorithm to perform exact the recovery of sparse signals is a fundamental problem in signal ...
Xueping Chen   +3 more
doaj   +1 more source

A Near-Optimal Restricted Isometry Condition of Multiple Orthogonal Least Squares

open access: yesIEEE Access, 2019
In this paper, we analyze the performance guarantee of multiple orthogonal least squares (MOLS) in recovering sparse signals. Specifically, we show that the MOLS algorithm ensures the accurate recovery of any K-sparse signal, provided that a sampling ...
Junhan Kim, Byonghyo Shim
doaj   +1 more source

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