International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064




Downloads: 110

Research Paper | Mathematics | Sudan | Volume 3 Issue 11, November 2014


A Boundedness of a Batch Gradient Method with Smoothing L_(1?2)Regularization for Pi-sigma Neural Networks

Kh. Sh. Mohamed, Y. Sh. Mohammed, Abd Elmoniem A. Elzain, Mohamed El-Hafiz M. N, and Elnoor. A. A. Noh


Abstract: This paper considers a batch gradient method with L_ (12) regularization for Pi sigma neural networks. In origin, by introducing an L_ (12) regularization term involves absolute value and is not differentiable into the error function. A key point of this paper, specifically, the smoothing L_ (12) regularization is a term proportional to the norm of the weights. The role of the smoothing L_ (12) regularization term is to control the magnitude of the weights and to improve the generalization performance of the networks. The weights are proved to be bounded during the training process, thus the conditions that are required for convergence analysis of batch gradient method in literature are simplified.


Keywords: Batch gradient method, Pi-sigma neural network, L regularization, Boundedness


Edition: Volume 3 Issue 11, November 2014,


Pages: 819 - 825


How to Cite this Article?

Kh. Sh. Mohamed, Y. Sh. Mohammed, Abd Elmoniem A. Elzain, Mohamed El-Hafiz M. N, and Elnoor. A. A. Noh, "A Boundedness of a Batch Gradient Method with Smoothing L_(1?2)Regularization for Pi-sigma Neural Networks", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=OCT14878, Volume 3 Issue 11, November 2014, 819 - 825

How to Share this Article?

Enter Your Email Address


Similar Articles with Keyword 'Boundedness'

Downloads: 113

Research Paper, Mathematics, Sudan, Volume 4 Issue 10, October 2015

Pages: 921 - 922

Conditions of Boundedness and Compactness Sum of Operators on Weighted Berman Space

Eltigani Ismail Hassan

Share this Article

Downloads: 116

Research Paper, Mathematics, Saudi Arabia, Volume 3 Issue 9, September 2014

Pages: 2002 - 2012

Batch Gradient Method with Smoothing L1/2 Regularization and Momentum for Pi-sigma Networks

Kh. Sh. Mohamed, Y. Sh. Mohammed, A. A. Elzain, Kh. M. Makin, Elnoor. A. A. Noh

Share this Article

Similar Articles with Keyword 'Batch'

Downloads: 113

Research Paper, Mathematics, Morocco, Volume 3 Issue 5, May 2014

Pages: 777 - 783

Performance Modeling for a Cloud Computing Center Using GE/G/m/k Queuing System

Mohamed Ben el aattar, Abdlkrim Haqiq

Share this Article

Downloads: 113

Research Paper, Mathematics, India, Volume 6 Issue 12, December 2017

Pages: 1921 - 1924

BMAP Two Phase Retrial Queue with Feedback

K. Prakash Rani, K. Udaya Chandrika, U. Elayarani

Share this Article

Similar Articles with Keyword 'gradient'

Downloads: 102

Research Paper, Mathematics, Iraq, Volume 6 Issue 6, June 2017

Pages: 801 - 805

Precise Solutions of a Viscoelastic Fluid Flow in an Annular Pipe under an Impulsive Pressure with the Fractional Generalized Burgers Model

Hanan F. Qasim, Ghada H. Ibraheem

Share this Article

Downloads: 110 | Monthly Hits: ⮙1

Research Paper, Mathematics, India, Volume 5 Issue 4, April 2016

Pages: 2223 - 2227

Unsteady MHD Flow of a Dusty Couple Stress Fluid through a Circular Pipe

V. P. Rathod, Syeda Rasheeda Parveen

Share this Article

Similar Articles with Keyword 'method'

Downloads: 163 | Monthly Hits: ⮙1

Research Paper, Mathematics, Nigeria, Volume 6 Issue 8, August 2017

Pages: 1893 - 1895

Integer Linear Programming Applied to Nurses Rostering Problem

A. A. Maidamisa, H. A. Odiniya

Share this Article

Downloads: 139

Research Paper, Mathematics, India, Volume 3 Issue 11, November 2014

Pages: 2300 - 2302

Profit Maximization of Unbalanced Fuzzy Transportation Problem

K. R. Sobha

Share this Article

Similar Articles with Keyword 'neural'

Downloads: 103

Research Paper, Mathematics, Kenya, Volume 3 Issue 6, June 2014

Pages: 1291 - 1294

Comparative Study of Performance of Neural Networks with Other Non-Parametric Regression Estimators

Robert Kasisi

Share this Article

Downloads: 103

Research Paper, Mathematics, India, Volume 4 Issue 1, January 2015

Pages: 2259 - 2267

Modelling and Analysis of Extended Spiking Neural P Systems with Astrocytes Using Petri Nets

Rosini B., Dersanambika K. S.

Share this Article

Similar Articles with Keyword 'network'

Downloads: 139

Research Paper, Mathematics, India, Volume 3 Issue 11, November 2014

Pages: 2300 - 2302

Profit Maximization of Unbalanced Fuzzy Transportation Problem

K. R. Sobha

Share this Article

Downloads: 103

Research Paper, Mathematics, Kenya, Volume 3 Issue 6, June 2014

Pages: 1291 - 1294

Comparative Study of Performance of Neural Networks with Other Non-Parametric Regression Estimators

Robert Kasisi

Share this Article

Similar Articles with Keyword 'L'

Downloads: 51 | Monthly Hits: ⮙1

Research Paper, Mathematics, India, Volume 10 Issue 2, February 2021

Pages: 756 - 759

Number Theoretic Functions and Coordinate Geometry

Chirag Gupta

Share this Article

Downloads: 146

Research Paper, Mathematics, India, Volume 6 Issue 11, November 2017

Pages: 1792 - 1796

A Study on Graph with Desmos through ICT in Diploma in Elementary Education of Tamil Nadu State Board

P. Charles Paul, G. Thulasi

Share this Article

Similar Articles with Keyword 'regularization'

Downloads: 110

Informative Article, Mathematics, India, Volume 3 Issue 8, August 2014

Pages: 1840 - 1845

Regularization Methods to Solve Various Inverse Problems

Amita Garg, Komal Goyal

Share this Article

Downloads: 116

Research Paper, Mathematics, Saudi Arabia, Volume 3 Issue 9, September 2014

Pages: 2002 - 2012

Batch Gradient Method with Smoothing L1/2 Regularization and Momentum for Pi-sigma Networks

Kh. Sh. Mohamed, Y. Sh. Mohammed, A. A. Elzain, Kh. M. Makin, Elnoor. A. A. Noh

Share this Article
Top