Comparing Interval-Valued Estimations with Point-Valued Estimations

Hugo Saulnier 1, 2 Olivier Strauss 1 Ines Couso 2
1 ICAR - Image & Interaction
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : In the last decade, numerous proposals have been made to deal with imprecision in estimation problems. Those approaches, many of which involve dealing with interval-valued outputs, deal with the subtle difference between uncertainty and imprecision. One of the crucial points − which to our knowledge has never been addressed − is “how to compare an interval-valued method with a precise valued method?” The usual way to compare two estimation methods is to use benchmark data with ground truths and to compute a distance between the estimates of each method and the ground truth. However, most of the mathematical available extensions of distances are either biased in favor of a precise approach or in favor of an imprecise approach. This paper proposes a new tool, the weighted variation of the mid-point distance (WVD), that is more suitable to achieve this kind of comparison, dealing with imprecision with a particular semantic. After reviewing existing distances, we introduce the WVD, first from an intuitive perspective, then from a more mathematical point of view. Its very satisfactory properties are highlighted through an experiment.
Type de document :
Communication dans un congrès
Joao Paulo Carvalho; Marie-Jeanne Lesot; Uzay Kaymak; Susana Vieira; Bernadette Bouchon-Meunier; Ronald R. Yager. IPMU: Information Processing and Management of Uncertainty in Knowledge-Based Systems, Jun 2016, Eindhoven, Netherlands. Springer, 16th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, 611, pp.595-604, 2016, 〈http://is.ieis.tue.nl/ipmu/〉. 〈10.1007/978-3-319-40581-0_48〉
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-01488052
Contributeur : Olivier Strauss <>
Soumis le : lundi 13 mars 2017 - 12:46:49
Dernière modification le : jeudi 11 janvier 2018 - 06:26:18

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Hugo Saulnier, Olivier Strauss, Ines Couso. Comparing Interval-Valued Estimations with Point-Valued Estimations. Joao Paulo Carvalho; Marie-Jeanne Lesot; Uzay Kaymak; Susana Vieira; Bernadette Bouchon-Meunier; Ronald R. Yager. IPMU: Information Processing and Management of Uncertainty in Knowledge-Based Systems, Jun 2016, Eindhoven, Netherlands. Springer, 16th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, 611, pp.595-604, 2016, 〈http://is.ieis.tue.nl/ipmu/〉. 〈10.1007/978-3-319-40581-0_48〉. 〈lirmm-01488052〉

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