The estimation of h\"olderian regularity using genetic programming

Created by W.Langdon from gp-bibliography.bib Revision:1.7764

@InProceedings{Trujillo:2010:gecco,

• author = "Leonardo Trujillo and Pierrick Legrand and Jacques Levy-Vehel",
• title = "The estimation of h{\"{o}}lderian regularity using genetic programming",
• booktitle = "GECCO '10: Proceedings of the 12th annual conference on Genetic and evolutionary computation",
• year = "2010",
• editor = "Juergen Branke and Martin Pelikan and Enrique Alba and Dirk V. Arnold and Josh Bongard and Anthony Brabazon and Juergen Branke and Martin V. Butz and Jeff Clune and Myra Cohen and Kalyanmoy Deb and Andries P Engelbrecht and Natalio Krasnogor and Julian F. Miller and Michael O'Neill and Kumara Sastry and Dirk Thierens and Jano {van Hemert} and Leonardo Vanneschi and Carsten Witt",
• isbn13 = "978-1-4503-0072-8",
• pages = "861--868",
• keywords = "genetic algorithms, genetic programming, Signal regularity, Holder exponent",
• month = "7-11 " # jul,
• organisation = "SIGEVO",
• address = "Portland, Oregon, USA",
• URL = "http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.220.3708",
• URL = "http://hal.inria.fr/docs/00/53/89/43/PDF/t10fp182-trujillo.pdf",
• DOI = "doi:10.1145/1830483.1830641",
• publisher = "ACM",
• publisher_address = "New York, NY, USA",
• abstract = "This paper presents a Genetic Programming (GP) approach to synthesise estimators for the pointwise Holder 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 point wise Holder exponent provides a characterisation 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 synthesise operators that provide an estimation for the Holderian regularity in a 2D signal. This goal is posed as an optimisation 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 Holder 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.",
• notes = "Also known as \cite{1830641} GECCO-2010 A joint meeting of the nineteenth international conference on genetic algorithms (ICGA-2010) and the fifteenth annual genetic programming conference (GP-2010)",

}

Genetic Programming entries for Leonardo Trujillo Pierrick Legrand Jacques Levy-Vehel

Citations