2014 International Joint Conference on Neural Networks (IJCNN) 2014
DOI: 10.1109/ijcnn.2014.6889560
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The delta test: The 1-NN estimator as a feature selection criterion

Abstract: Abstract-Feature selection is essential in many machine learning problem, but it is often not clear on which grounds variables should be included or excluded. This paper shows that the mean squared leave-one-out error of the first-nearestneighbour estimator is effective as a cost function when selecting input variables for regression tasks. A theoretical analysis of the estimator's properties is presented to support its use for feature selection. An experimental comparison to alternative selection criteria (in… Show more

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Cited by 8 publications
(3 citation statements)
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References 33 publications
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“…(a) The delta test (DT) method: a noise variance estimator based on the concept of nearest neighbors (NNs) (Eirola et al, 2008;Pi et al, 1994). For a given set of input parameters 𝜃 𝑖 (𝑖 = 1, … , 𝑚) and associated output 𝑌, the assumption is that there is a functional dependence between them:…”
Section: Design Of the Parameter Sensitivity Analysismentioning
confidence: 99%
“…(a) The delta test (DT) method: a noise variance estimator based on the concept of nearest neighbors (NNs) (Eirola et al, 2008;Pi et al, 1994). For a given set of input parameters 𝜃 𝑖 (𝑖 = 1, … , 𝑚) and associated output 𝑌, the assumption is that there is a functional dependence between them:…”
Section: Design Of the Parameter Sensitivity Analysismentioning
confidence: 99%
“…The MGA (multi-objective genetic algorithm) [55] is a new revision of the classical genetic algorithm involving a multi-objective selection operator. This operator is designed to determine two different individuals to cross and evaluate, one individual associated with the MI dimension [56] and the other individual selected when taking into account its score in the Delta Test [57,58]. In the resulting crossover, the individuals are selected according to the two different criteria, thus, the algorithms performs multi-objective optimization.…”
Section: Development Of the Measurement Scalesmentioning
confidence: 99%
“…Among these subsets of features, the one minimising the value of δ with Y will be selected. The Delta Test has also been widely used for feature selection [21,22].…”
Section: Feature Selection With Noise Variancementioning
confidence: 99%