دورية أكاديمية

Sparsity via new Bayesian Lasso

التفاصيل البيبلوغرافية
العنوان: Sparsity via new Bayesian Lasso
المؤلفون: Flaih, Ahmad Naeem, Alshaybawee, Taha, Alhusseini, Fadel Hamid Hadi
المصدر: Periodicals of Engineering and Natural Sciences; Vol 8, No 1 (2020); 345-359 ; 2303-4521 ; 10.21533/pen.v8i1
بيانات النشر: International University of Sarajevo
سنة النشر: 2020
المجموعة: Periodicals of Engineering and Natural Sciences (PEN - International University of Sarajevo)
الوصف: Lasso estimate as the posterior mode assuming that the parameter has prior density as double exponential distribution [1]. In this paper, we proposed Scale Mixture of Normals mixing with Rayleigh (SMNR) density on their variances to represent the double exponential distribution. Hierarchical model formulation presented with Gibbs sampler under SMNR as alternative Bayesian analysis of minimization problem of classical lasso. We conducted two simulation examples to explore path solution of the Ridge, Lasso, Bayesian Lasso, and New Bayesian Lasso (R, L, BL, NBL) regression methods through the prediction accuracy using the bias of the estimates with different sample sizes, bias indicates that the lasso regression perform well, followed by the NBL. The Median Mean Absolute Deviations (MMAD) used to compared the perform of the regression methods using real data, MMAD indicates that the proposed method (NBL) perform better than the others.
نوع الوثيقة: article in journal/newspaper
وصف الملف: application/pdf
اللغة: English
العلاقة: http://pen.ius.edu.ba/index.php/pen/article/view/1386/597Test; http://pen.ius.edu.ba/index.php/pen/article/view/1386Test
DOI: 10.21533/pen.v8i1.1386
الإتاحة: https://doi.org/10.21533/pen.v8i1.1386Test
https://doi.org/10.21533/pen.v8i1Test
http://pen.ius.edu.ba/index.php/pen/article/view/1386Test
حقوق: Copyright (c) 2020 Ahmad Naeem Flaih, Taha Alshaybawee, Fadel Hamid Hadi Alhusseini ; http://creativecommons.org/licenses/by/4.0Test
رقم الانضمام: edsbas.1CE8314A
قاعدة البيانات: BASE