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Estimating the ROC Curve of Linearly Combined Dichotomizers

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Image Analysis and Processing – ICIAP 2005 (ICIAP 2005)
Estimating the ROC Curve of Linearly Combined Dichotomizers
  • Claudio Marrocco18,
  • Mario Molinara18 &
  • Francesco Tortorella18 

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3617))

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  • International Conference on Image Analysis and Processing
  • 1882 Accesses

  • 1 Citation

Abstract

A well established technique to improve the classification performances is to combine more classifiers. In the binary case, an effective instrument to analyze the dichotomizers under different class and cost distributions providing a description of their performances at different operating points is the Receiver Operating Characteristic (ROC) curve. To generate a ROC curve, the outputs of the dichotomizers have to be processed. An alternative way that makes this analysis more tractable with mathematical tools is to use a parametric model and, in particular, the binormal model that gives a good approximation to many empirical ROC curves. Starting from this model, we propose a method to estimate the ROC curve of the linear combination of two dichotomizers given the ROC curves of the single classifiers. A possible application of this approach has been successfully tested on real data set.

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Authors and Affiliations

  1. Dipartimento di Automazione, Elettromagnetismo, Ingegneria dell’Informazione e Matematica Industriale, Università degli Studi di Cassino, 03043, Cassino, (FR), Italy

    Claudio Marrocco, Mario Molinara & Francesco Tortorella

Authors
  1. Claudio Marrocco
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  2. Mario Molinara
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  3. Francesco Tortorella
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Editor information

Editors and Affiliations

  1. Department of Electrical and Electronic Engineering, Piazza d’Armi, University of Cagliari, 09123, Cagliari, Italy

    Fabio Roli

  2. Università di Cagliari,  

    Sergio Vitulano

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© 2005 Springer-Verlag Berlin Heidelberg

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Marrocco, C., Molinara, M., Tortorella, F. (2005). Estimating the ROC Curve of Linearly Combined Dichotomizers. In: Roli, F., Vitulano, S. (eds) Image Analysis and Processing – ICIAP 2005. ICIAP 2005. Lecture Notes in Computer Science, vol 3617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11553595_95

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  • DOI: https://doi.org/10.1007/11553595_95

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Keywords

  • Support Vector Machine
  • True Positive Rate
  • Multi Layer Perceptron
  • Cumulative Distribution Function
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