Nearest Neighbor Classification of Remote Sensing Images With the Maximal Margin Principle

摘要

In this paper, we present a new variant of the $k$-nearest neighbor ( $k$NN) classifier based on the maximal margin principle. The proposed method relies on classifying a given unlabeled sample by first finding its $k$-nearest training samples. A local partition of the input feature space is then carried out by means of local support vector machine (SVM) decision boundaries determined after training a multiclass SVM classifier on the considered $k$ training samples. The labeling of the unknown sample is done by looking at the local decision region to which it belongs. The method is characterized by resulting global decision boundaries of the piecewise linear type. However, the entire process can be kernelized through the determination of the $k$-nearest training samples in the transformed feature space by using a distance function simply reformulated on the basis of the adopted kernel. To illustrate the performance of the proposed method, an experimental analysis on three different remote sensing datasets is reported and discussed.