scholarly journals On the sign recovery by LASSO, thresholded LASSO and thresholded Basis Pursuit Denoising

2022 ◽  
Author(s):  
Patrick J.C. Tardivel ◽  
Małgorzata Bogdan
Keyword(s):  
Basis Pursuit

scholarly journals ECG Signal Denoising and Reconstruction Based on Basis Pursuit

2021 ◽  
Vol 11 (4) ◽  
pp. 1591
Author(s):  
Ruixia Liu ◽  
Minglei Shu ◽  
Changfang Chen
Keyword(s):  
Signal To Noise Ratio ◽  
Heart Diseases ◽  
Gaussian White Noise ◽  
Basis Pursuit ◽  
Signal Denoising ◽  
Ecg Signal ◽  
Penalty Term ◽  
Ecg Signals ◽  
Alternating Direction ◽  
Low Pass

The electrocardiogram (ECG) is widely used for the diagnosis of heart diseases. However, ECG signals are easily contaminated by different noises. This paper presents efficient denoising and compressed sensing (CS) schemes for ECG signals based on basis pursuit (BP). In the process of signal denoising and reconstruction, the low-pass filtering method and alternating direction method of multipliers (ADMM) optimization algorithm are used. This method introduces dual variables, adds a secondary penalty term, and reduces constraint conditions through alternate optimization to optimize the original variable and the dual variable at the same time. This algorithm is able to remove both baseline wander and Gaussian white noise. The effectiveness of the algorithm is validated through the records of the MIT-BIH arrhythmia database. The simulations show that the proposed ADMM-based method performs better in ECG denoising. Furthermore, this algorithm keeps the details of the ECG signal in reconstruction and achieves higher signal-to-noise ratio (SNR) and smaller mean square error (MSE).

Basis Pursuit Anisotropic Inversion Based on the L₁-L₂-Norm Regularization

2021 ◽  
pp. 1-5
Author(s):  
Cong Luo ◽  
Jing Ba ◽  
Jose M. Carcione ◽  
Qiang Guo
Keyword(s):  
Basis Pursuit

Seismic spectral decomposition via basis pursuit

2017 ◽  
Author(s):  
Jiajun Han ◽  
Brian Russell ◽  
Jonathan Downton
Keyword(s):  
Spectral Decomposition ◽  
Basis Pursuit

scholarly journals Kernel Basis Pursuit

2005 ◽  
pp. 146-157 ◽  
Author(s):  
Vincent Guigue ◽  
Alain Rakotomamonjy ◽  
Stéphane Canu
Keyword(s):  
Basis Pursuit
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