The mixture of K-Optimal-Spanning-Trees based probability approximation: Application to skin detection

  • Authors:
  • Sanaa El Fkihi;Mohamed Daoudi;Driss Aboutajdine

  • Affiliations:
  • Institut TELECOM, TELECOM Lille 1, LIFL (UMR CNRS-USTL 8022), Rue G. Marconi, Cité scientifique, 59655 Villeneuve d'Ascq, France and GSCM_LRIT Faculty of Sciences, University Mohammed V, 4 Av ...;Institut TELECOM, TELECOM Lille 1, LIFL (UMR CNRS-USTL 8022), Rue G. Marconi, Cité scientifique, 59655 Villeneuve d'Ascq, France;GSCM_LRIT Faculty of Sciences, University Mohammed V, 4 Avenue Ibn Battouta, B.P. 1014 RP, Rabat, Morocco

  • Venue:
  • Image and Vision Computing
  • Year:
  • 2008

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Abstract

This paper presents a new approach for machine learning to deal with the problem of classification and/or probability approximation. Our contribution is based on the Optimal-Spanning-Tree distributions that are widely used in many optimization areas. The rationale behind this study is that in some cases the approximation of true class probability given by an Optimal-Spanning-Tree is not unique and might be chosen randomly. Furthermore, the user can specify the error tolerance between the tree weights that he/she can accept to manage the information of these kinds of trees. Therefore, the main idea of this work consists in focusing and highlighting the performance of each possible K(K@?N) Optimal-Spanning-Tree and making some assumptions, to propose the mixture of the K-Optimal-Spanning-Trees approximating the true class probability in a supervised algorithm. The theoretical proof of the K-Optimal-Spanning-Trees' mixture is given. Furthermore, the performance of our method is assessed for Skin/Non-Skin classification in the Compaq database by measuring the Receiver Operating Characteristic curve and its under area. These measures have proved better results of the proposed model compared with a random Optimal-Spanning-Tree model and the baseline one.