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@InProceedings{kattan:2014:EuroGP, author = "Ahmed Kattan and Michael Kampouridis and Alexandros Agapitos", title = "Generalisation Enhancement via Input Space Transformation: A GP Approach", booktitle = "17th European Conference on Genetic Programming", year = "2014", editor = "Miguel Nicolau and Krzysztof Krawiec and Malcolm I. Heywood and Mauro Castelli and Pablo Garcia-Sanchez and Juan J. Merelo and Victor M. {Rivas Santos} and Kevin Sim", series = "LNCS", volume = "8599", publisher = "Springer", pages = "61--74", address = "Granada, Spain", month = "23-25 " # apr, organisation = "EvoStar", keywords = "genetic algorithms, genetic programming", isbn13 = "978-3-662-44302-6", DOI = "doi:10.1007/978-3-662-44303-3_6", abstract = "This paper proposes a new approach to improve generalisation of standard regression techniques when there are hundreds or thousands of input variables. The input space X is composed of observational data of the form (x_i, y(x_i)), i = 1... n where each x_i denotes a k-dimensional input vector of design variables and y is the response. Genetic Programming (GP) is used to transform the original input space X into a new input space Z = (z_i, y(z_i)) that has smaller input vector and is easier to be mapped into its corresponding responses. GP is designed to evolve a function that receives the original input vector from each x_i in the original input space as input and return a new vector z_i as an output. Each element in the newly evolved z_i vector is generated from an evolved mathematical formula that extracts statistical features from the original input space. To achieve this, we designed GP trees to produce multiple outputs. Empirical evaluation of 20 different problems revealed that the new approach is able to significantly reduce the dimensionality of the original input space and improve the performance of standard approximation models such as Kriging, Radial Basis Functions Networks, and Linear Regression, and GP (as a regression techniques). In addition, results demonstrate that the new approach is better than standard dimensionality reduction techniques such as Principle Component Analysis (PCA). Moreover, the results show that the proposed approach is able to improve the performance of standard Linear Regression and make it competitive to other stochastic regression techniques.", notes = "Part of \cite{Nicolau:2014:GP} EuroGP'2014 held in conjunction with EvoCOP2014, EvoBIO2014, EvoMusArt2014 and EvoApplications2014", }

Genetic Programming entries for Ahmed Kattan Michael Kampouridis Alexandros Agapitos