# Optimization Strategies for Tuning the Parameters of Radial Basis Functions Network Models

### Gancho Vachkov, Nikolinka Christova, Magdalena Valova

#### Abstract

In this paper the problem of tuning the parameters of the RBF networks by using optimization methods is investigated. Two modifications of the classical RBFN, called Reduced and Simplified RBFN are introduced and analysed in the paper. They have a smaller number of parameters. Three optimization strategies that perform one or two steps for tuning the parameters of the RBFN models are explained and investigated in the paper. They use the particle swarm optimization algorithm with constraints. The one-step Strategy 3 is a simultaneous optimization of all three groups of parameters, namely the Centers, Widths and the Weights of the RBFN. This strategy is used in the paper for performance evaluation of the Reduced and Simplified RBFN models. A test 2-dimensional example with high nonlinearity is used to create different RBFN models with different number of RBFs. It is shown that the Simplified RBFN models can achieve almost the same modelling accuracy as the Reduced RBFN models. This makes the Simplified RBFN models a preferable choice as a structure of the RBFN model.

#### References

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#### Paper Citation

#### in Harvard Style

Vachkov G., Christova N. and Valova M. (2014). **Optimization Strategies for Tuning the Parameters of Radial Basis Functions Network Models** . In *Proceedings of the 4th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,* ISBN 978-989-758-038-3, pages 443-450. DOI: 10.5220/0005051104430450

#### in Bibtex Style

@conference{simultech14,

author={Gancho Vachkov and Nikolinka Christova and Magdalena Valova},

title={Optimization Strategies for Tuning the Parameters of Radial Basis Functions Network Models},

booktitle={Proceedings of the 4th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,},

year={2014},

pages={443-450},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005051104430450},

isbn={978-989-758-038-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 4th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,

TI - Optimization Strategies for Tuning the Parameters of Radial Basis Functions Network Models

SN - 978-989-758-038-3

AU - Vachkov G.

AU - Christova N.

AU - Valova M.

PY - 2014

SP - 443

EP - 450

DO - 10.5220/0005051104430450