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Training multilayer neural networks using fast global learning algorithm - least-squares and penalized optimization methods

机译:使用快速全局学习算法-最小二乘和惩罚优化方法训练多层神经网络

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摘要

The major limitations of conventional learning algorithms are attributed to local minima and slow convergence speed. This paper presents a novel heuristics approach for neural networks global learning algorithm. The proposed algorithm is based upon the least-squares (LS) method to maintain the fast convergence speed and a Penalty (PEN) approach to solve the problem of local minima. The penalty term superimposes into the error surface, which likely to provide a way of escape from the local minima when the convergence stalls. The choice and adJustment for the penalty factor are also denved to demonstrate the effect of the penalty term and to ensure the convergence of the algorithm. The developed learning algorithm is applied to several problems of classification application. In all the tested problems, the proposed algonthm outperforms other conventional algorithms in terms of convergence speed and the ability of escaping from the local minima.
机译:传统学习算法的主要局限性在于局部极小和收敛速度慢。本文提出了一种新颖的启发式方法用于神经网络全局学习算法。该算法基于最小二乘(LS)方法来保持快速收敛速度,并基于罚分(PEN)方法来解决局部极小值问题。惩罚项叠加到误差面中,当收敛停滞时,该误差面可能提供一种逃避局部最小值的方法。还对惩罚因子的选择和调整进行了说明,以证明惩罚项的效果并确保算法的收敛性。所开发的学习算法被应用于分类应用的若干问题。在所有测试的问题中,所提出的算法在收敛速度和逃避局部极小值的能力方面均优于其他常规算法。

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