A Soft Computing Scaled Conjugate Gradient Procedure for the Fractional Order Majnun and Layla Romantic Story

Layla and Majnun: a complex love story

Following previous work, this paper introduces a new dynamical model involving two differential equations describing the time variation of behavior displayed by a couple in a romantic relationship. This model is different from previous ones because it uses complex variables. Since complex variables have both magnitude and phase, they are better able to represent love and can represent more comp...

A scaled conjugate gradient algorithm for fast supervised learning

A supervised learning algorithm (Scaled Conjugate Gradient, SCG) with superlinear convergence rate is introduced. The algorithm is based upon a class of optimization techniques well known in numerical analysis as the Conjugate Gradient Methods. SCG uses second order information from the neural network but requires only O(N) memory usage, where N is the number of weights in the network. The perf...

Scaled Conjugate Gradient Learning for Quaternion-Valued Neural Networks

A conjugate gradient based method for Decision Neural Network training

Decision Neural Network is a new approach for solving multi-objective decision-making problems based on artificial neural networks. Using inaccurate evaluation data, network training has improved and the number of educational data sets has decreased. The available training method is based on the gradient decent method (BP). One of its limitations is related to its convergence speed. Therefore,...

On a Variable Smoothing Procedure for Conjugate Gradient Type Methods

The smoothing procedure has been introduced by Schh onauer as an acceleration algorithm for the Generalized Conjugate Gradient methods. In this paper, after giving our deenition of Conjugate Gradient type methods, and using a Generalized Hessenberg process, we introduce a Hybrid generalized Conjugate Gradient type method. We show that this Hybrid procedure is a variable smoothing procedure. And...