Sparsest representations and approximations of an underdetermined linear system
Sign Up to like & getrecommendations! Published in 2018 at "Inverse Problems"
DOI: 10.1088/1361-6420/aab246
Abstract: In an underdetermined linear system of equations, constrained l1 minimization methods such as the basis pursuit or the lasso are often used to recover one of the sparsest representations or approximations of the system. The… read more here.
Keywords: linear system; sparsest representations; basis pursuit; underdetermined linear ... See more keywords
Basis Pursuit With Sparsity Averaging for Compressive Sampling of Iris Images
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3140429
Abstract: This paper proposes novel compressive sampling (CS) of colored iris images using three RGB iterations of basis pursuit (BP) with sparsity averaging (SA), called RGB-BPSA. In RGB-BPSA, a sparsity basis is performed using an average… read more here.
Keywords: basis pursuit; basis; iris images; pursuit sparsity ... See more keywords
Basis Pursuit Anisotropic Inversion Based on the L1–L2-Norm Regularization
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Geoscience and Remote Sensing Letters"
DOI: 10.1109/lgrs.2021.3075062
Abstract: Prestack seismic inversion for VTI media (transversely isotropic with vertical axis of symmetry) is a technique that can be useful to obtain the properties (velocity, density, and anisotropy parameters) of shale reservoirs. Since conventional inversion… read more here.
Keywords: basis pursuit; inline formula; inversion; tex math ... See more keywords
Basis Pursuit Denoising via Recurrent Neural Network Applied to Super-Resolving SAR Tomography
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2022.3221185
Abstract: Finding sparse solutions of underdetermined linear systems commonly requires the solving of $L_{1}$ regularized least-squares minimization problem, which is also known as the basis pursuit denoising (BPDN). They are computationally expensive since they cannot be… read more here.
Keywords: neural network; basis pursuit; recurrent neural; pursuit denoising ... See more keywords
Compressed Sensing Using Binary Matrices of Nearly Optimal Dimensions
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2020.2990154
Abstract: In this paper, we study the problem of compressed sensing using binary measurement matrices and $\ell _1$-norm minimization (basis pursuit) as the recovery algorithm. We derive new upper and lower bounds on the number of… read more here.
Keywords: binary matrices; sensing using; basis pursuit; using binary ... See more keywords
ℓ1–2-norm regularized basis pursuit seismic inversion based on exact Zoeppritz equation
Sign Up to like & getrecommendations! Published in 2024 at "GEOPHYSICS"
DOI: 10.1190/geo2022-0336.1
Abstract: Sparsity constraints have been widely adopted in the regularization of ill-posed problems to obtain subsurface properties with sparseness feature. However, the target parameters are generally not sparsely distributed, and sparsity constraints lead to results that… read more here.
Keywords: based exact; zoeppritz equation; exact zoeppritz; inversion ... See more keywords
Method for cycle detection in sparse, irregularly sampled, long-term neuro-behavioral timeseries: Basis pursuit denoising with polynomial detrending of long-term, inter-ictal epileptiform activity
Sign Up to like & getrecommendations! Published in 2024 at "PLOS Computational Biology"
DOI: 10.1371/journal.pcbi.1011152
Abstract: Numerous physiological processes are cyclical, but sampling these processes densely enough to perform frequency decomposition and subsequent analyses can be challenging. Mathematical approaches for decomposition and reconstruction of sparsely and irregularly sampled signals are well… read more here.
Keywords: term; irregularly sampled; long term; pursuit denoising ... See more keywords