Autor: |
Alrashdi, Ayed M., Sifaou, Houssem, Kammoun, Abla, Alouini, Mohamed-Slim, Al-Naffouri, Tareq Y. |
Rok vydání: |
2020 |
Předmět: |
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Druh dokumentu: |
Working Paper |
Popis: |
In this paper, we consider the problem of recovering a sparse signal from noisy linear measurements using the so called LASSO formulation. We assume a correlated Gaussian design matrix with additive Gaussian noise. We precisely analyze the high dimensional asymptotic performance of the LASSO under correlated design matrices using the Convex Gaussian Min-max Theorem (CGMT). We define appropriate performance measures such as the mean-square error (MSE), probability of support recovery, element error rate (EER) and cosine similarity. Numerical simulations are presented to validate the derived theoretical results. |
Databáze: |
arXiv |
Externí odkaz: |
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