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A Principled Two-Step Method for Example-Dependent Cost Binary Classification

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From Bioinspired Systems and Biomedical Applications to Machine Learning (IWINAC 2019)

Abstract

This paper presents a principled two-step method for example-dependent cost binary classification problems. The first step obtains a consistent estimate of the posterior probabilities by training a Multi-Layer Perceptron with a Bregman surrogate cost. The second step uses the provided estimates in a Bayesian decision rule. When working with imbalanced datasets, neutral re-balancing allows getting better estimates of the posterior probabilities. Experiments with real datasets show the good performance of the proposed method in comparison with other procedures.

This work has been partially supported by Research Grant MacroADOBE (TEC2015-67719-P, MINECO/FEDER, EU) and by Research Project 2-BARBAS (Fundación BBVA).

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Notes

  1. 1.

    \(\widetilde{Q}\) can be interpreted as \(\widetilde{Q}_P\).

  2. 2.

    Dataset available at http://www.creditriskanalytics.net.

  3. 3.

    http://scikit-learn.org.

  4. 4.

    http://pypi.org/project/costcla/.

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Correspondence to Javier Mediavilla-Relaño , Aitor Gutiérrez-López , Marcelino Lázaro or Aníbal R. Figueiras-Vidal .

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Mediavilla-Relaño, J., Gutiérrez-López, A., Lázaro, M., Figueiras-Vidal, A.R. (2019). A Principled Two-Step Method for Example-Dependent Cost Binary Classification. In: Ferrández Vicente, J., Álvarez-Sánchez, J., de la Paz López, F., Toledo Moreo, J., Adeli, H. (eds) From Bioinspired Systems and Biomedical Applications to Machine Learning. IWINAC 2019. Lecture Notes in Computer Science(), vol 11487. Springer, Cham. https://doi.org/10.1007/978-3-030-19651-6_2

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  • DOI: https://doi.org/10.1007/978-3-030-19651-6_2

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