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Supervised Classification for Functional Data: A Theoretical Remark and Some Numerical Comparisons

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Functional and Operatorial Statistics

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

The nearest neighbors (k-NN) method is a simple, easy to motivate procedure for supervised classification with functional data. We first consider a recent result by Cerou and Guyader (2006) which provides a sufi- cient condition to ensure the consistency of the k-NN method. We give some concrete examples in which such condition is fulfilled. Secondly, we show the results of a comparative study, performed via simulations and some real-data examples, involving the k-NN procedure (as a “benchmark choice”) together with other some recently proposed methods for functional classification.

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Baíllo, A., Cuevas, A. (2008). Supervised Classification for Functional Data: A Theoretical Remark and Some Numerical Comparisons. In: Functional and Operatorial Statistics. Contributions to Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2062-1_7

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