TRUJILLO, Leonardo; LEGRAND, Pierrick; LÉVY VÉHEL, Jacques

Métadonnées

Licence d’utilisation du document

TRUJILLO, Leonardo
Instituto Tecnológico de Tijuana = Tijuana Institute of Technology [Tijuana]

LEGRAND, Pierrick
Institut de Mathématiques de Bordeaux [IMB]
Advanced Learning Evolutionary Algorithms [ALEA]

LÉVY VÉHEL, Jacques
Probabilistic modelling of irregularity and application to uncertainties management [ Regularity ]
Mathématiques Appliquées aux Systèmes - EA 4037 [MAS]

Langue

Communication dans un congrès

Ce document a été publié dans

GECCO'10 Proceedings of the 12th annual conference on Genetic and evolutionary computation, GECCO'10 Proceedings of the 12th annual conference on Genetic and evolutionary computation, Genetic and Evolutionary Computation Conference (GECCO 2010). Best Paper Award in "Genetic Programming", 2010-07-07, Portland Oregon. 2010, vol. ISBN 978-1-4503-0072-8, p. 861-868

Résumé en anglais

This paper presents a Genetic Programming (GP) approach to synthesize estimators for the pointwise Hölder exponent in 2D signals. It is known that irregularities and singularities are the most salient and informative parts of a signal. Hence, explicitly measuring these variations can be important in various domains of signal processing. The pointwise Hölder exponent provides a characterization of these types of features. However, current methods for estimation cannot be considered to be optimal in any sense. Therefore, the goal of this work is to automatically synthesize operators that provide an estimation for the Hölderian regularity in a 2D signal. This goal is posed as an optimization problem in which we attempt to minimize the error between a prescribed regularity and the estimated regularity given by an image operator. The search for optimal estimators is then carried out using a GP algorithm. Experiments confirm that the GP-operators produce a good estimation of the Hölder exponent in images of multifractional Brownian motions. In fact, the evolved estimators significantly outperform a traditional method by as much as one order of magnitude. These results provide further empirical evidence that GP can solve difficult problems of applied mathematics.< Réduire

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251