Speech compressive sensing with ℓ1-minimzation and iteratively reweighted least squares-ℓp-minimization: A comparative study

Author(s):  
Wafa Derouaz ◽  
Thouraya Merazi-Meksen
2009 ◽  
Vol 57 (6) ◽  
pp. 2424-2431 ◽  
Author(s):  
C.J. Miosso ◽  
R. von Borries ◽  
M. Argaez ◽  
L. Velazquez ◽  
C. Quintero ◽  
...  

2020 ◽  
Author(s):  
Jorge Cormane ◽  
Camila Franco de Sousa

Este trabalho apresenta um método de compressão de sinais da rede elétrica baseado na técnica de Compressive Sensing combinada com uma abordagem dissociativa. Para isso, utilizam-se os algoritmos Iteratively Reweighted Least-Squares e o Conjugate Gradient. O primeiro adequado para a reconstrução de sinais unidimensionais, enquanto que o segundo é adequado para a reconstrução do sinal em um formato bidimensional. Os resultados demonstram a preservação do sinal após a reconstrução (SNR > 40 dB), além da redução da complexidade computacional, a partir da dissociação do sinal segundo seu comportamento: regime permanente ou disturbio.


2020 ◽  
Vol 17 (1) ◽  
pp. 87-94
Author(s):  
Ibrahim A. Naguib ◽  
Fatma F. Abdallah ◽  
Aml A. Emam ◽  
Eglal A. Abdelaleem

: Quantitative determination of pyridostigmine bromide in the presence of its two related substances; impurity A and impurity B was considered as a case study to construct the comparison. Introduction: Novel manipulations of the well-known classical least squares multivariate calibration model were explained in detail as a comparative analytical study in this research work. In addition to the application of plain classical least squares model, two preprocessing steps were tried, where prior to modeling with classical least squares, first derivatization and orthogonal projection to latent structures were applied to produce two novel manipulations of the classical least square-based model. Moreover, spectral residual augmented classical least squares model is included in the present comparative study. Methods: 3 factor 4 level design was implemented constructing a training set of 16 mixtures with different concentrations of the studied components. To investigate the predictive ability of the studied models; a test set consisting of 9 mixtures was constructed. Results: The key performance indicator of this comparative study was the root mean square error of prediction for the independent test set mixtures, where it was found 1.367 when classical least squares applied with no preprocessing method, 1.352 when first derivative data was implemented, 0.2100 when orthogonal projection to latent structures preprocessing method was applied and 0.2747 when spectral residual augmented classical least squares was performed. Conclusion: Coupling of classical least squares model with orthogonal projection to latent structures preprocessing method produced significant improvement of the predictive ability of it.


2014 ◽  
Vol 20 (1) ◽  
pp. 132-141 ◽  
Author(s):  
Jianfeng Guo

The iteratively reweighted least-squares (IRLS) technique has been widely employed in geodetic and geophysical literature. The reliability measures are important diagnostic tools for inferring the strength of the model validation. An exact analytical method is adopted to obtain insights on how much iterative reweighting can affect the quality indicators. Theoretical analyses and numerical results show that, when the downweighting procedure is performed, (1) the precision, all kinds of dilution of precision (DOP) metrics and the minimal detectable bias (MDB) will become larger; (2) the variations of the bias-to-noise ratio (BNR) are involved, and (3) all these results coincide with those obtained by the first-order approximation method.


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