An Augmented Smoothing Method of L1 -norm Minimization and Its Implementation by Neural Network Model

Yunchol Jong

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arXiv · 1207.1931

An Augmented Smoothing Method of L1 -norm Minimization and Its Implementation by Neural Network Model

Yunchol Jong

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Abstract

In this paper we propose an augmented smoothing function for nonlinear L1 -norm minimization problem and consider a global stability of a gradient-based neural network model to minimize the smoothing function. The numerical simulations show that our smoothing neural network finds successfully the global solution of the L1 -norm minimization problems considered in the simulation.

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BibTeX RIS

Yunchol Jong. 2012-07-09. An Augmented Smoothing Method of L1 -norm Minimization and Its Implementation by Neural Network Model. https://arxiv.org/abs/1207.1931

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