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Estimation of Radial Basis Function Network Centers via Information Forces.

Edilson Sousa Júnior1, Antônio Freitas1, Ricardo Rabelo1

  • 1Technology Center, Universidade Federal do Piauí, Teresina 64049-550, PI, Brazil.

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Summary

This study introduces a novel gradient algorithm to determine Radial Basis Function Network centers using information forces, improving data classification and outlier detection. The method shows strong performance across various complex datasets.

Keywords:
EntropyRadial Basis Functions Networksclassificationclustering and outliersinformation theory

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Area of Science:

  • Machine Learning
  • Artificial Intelligence
  • Data Science

Background:

  • Determining optimal centers for Radial Basis Function Networks (RBFN) remains a significant challenge in machine learning.
  • Effective clustering and outlier detection are crucial for accurate data classification and analysis.

Purpose of the Study:

  • To propose and evaluate a novel gradient algorithm for determining RBFN cluster centers using information forces.
  • To develop a robust method for outlier classification based on Information Potential.
  • To assess the performance of the proposed algorithms on diverse and challenging datasets.

Main Methods:

  • A gradient algorithm is employed to identify cluster centers based on information forces acting on data points.
  • Information Potential is utilized to establish a threshold for classifying outliers.
  • The proposed RBFN approach is benchmarked against a standard k-means clustering algorithm.

Main Results:

  • The proposed gradient algorithm successfully determines cluster centers for RBFN.
  • The Information Potential threshold effectively identifies and classifies outliers.
  • The combined approach demonstrates superior performance compared to RBFN with k-means, especially on datasets with varying cluster sizes, overlap, and noise.

Conclusions:

  • The information force-driven gradient algorithm offers an effective solution for RBFN center determination.
  • The developed outlier classification method enhances the robustness of RBFN.
  • This approach provides a competitive alternative for data classification tasks, outperforming traditional methods in complex scenarios.