Neural network and least square estimator

We propose an alternative and a methodology that joins the expressive power of neural networks with the robustness of least squares estimation to address regression problems involving a twice-censored setting. Within the context of modern statistical learning, this approach is particularly well suited for capturing complex and non-linear relationships. We establish mean squared error norm convergence of the proposed estimator and present a comparative simulation study demonstrating its superior performance over standard neural network methods.

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Publication Details

Journal
Gulf Journal of Mathematics
Published
2025-08-18
DOI
https://doi.org/10.56947/gjom.v20i2.3255
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Neural network and least square estimator

Ilhem Laroussi, Houda Bourezaz, Ghania Idiou
Gulf Journal of Mathematics
Neural Networks and Applications
article

Neural network and least square estimator

Ilhem Laroussi, Houda Bourezaz, Ghania Idiou
article en

Abstract

We propose an alternative and a methodology that joins the expressive power of neural networks with the robustness of least squares estimation to address regression problems involving a twice-censored setting. Within the context of modern statistical learning, this approach is particularly well suited for capturing complex and non-linear relationships. We establish mean squared error norm convergence of the proposed estimator and present a comparative simulation study demonstrating its superior performance over standard neural network methods.

Gulf Journal of MathematicsVol. 20(2)
University Frères Mentouri Constantine 1 (DZ)
Openalex Percentile: Top 89%
Neural Networks and Applications
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