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A Fuzzy C-means-based Approach for Selecting Reference Points in Minimal Learning Machines

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Fuzzy Information Processing (NAFIPS 2018)

Abstract

This paper introduces a new approach to select reference points of minimal learning machines (MLM) for classification tasks. The proposal is based on the Fuzzy C-means algorithm and consists of selecting data samples from regions where no overlapping between classes exists. Such an idea has been empirically shown capable of achieving simpler decision boundaries in comparison to the standard MLM, and thus less susceptible to overfitting. Experiments were performed using UCI data sets. The proposal was able to both reduce the number of reference points and achieve competitive performance when compared to conventional approaches for selecting reference points.

The authors would like to thank the IFCE for supporting their research.

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Notes

  1. 1.

    A S-level qualitative variable is represented by a vector of S binary variables or bits, only one of which is on at a time. Thus, the j-th component of an output vector \(\mathbf {y}\) is set to 1 if it belongs to class j and 0 otherwise.

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Correspondence to José A. V. Florêncio or Ajalmar R. da Rocha Neto .

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Florêncio, J.A.V., Dias, M.L.D., da Rocha Neto, A.R., de Souza Júnior, A.H. (2018). A Fuzzy C-means-based Approach for Selecting Reference Points in Minimal Learning Machines. In: Barreto, G., Coelho, R. (eds) Fuzzy Information Processing. NAFIPS 2018. Communications in Computer and Information Science, vol 831. Springer, Cham. https://doi.org/10.1007/978-3-319-95312-0_34

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  • DOI: https://doi.org/10.1007/978-3-319-95312-0_34

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  • Online ISBN: 978-3-319-95312-0

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