title: κ-NN for the classification of human cancer samples using the gene expression profiles.
abstract: The [Formula: see text]-Nearest Neighbor (k-NN) classifier has been applied to the identification of cancer samples using the gene expression profiles with encouraging results. However, the performance of [Formula: see text]-NN depends strongly on the distance considered to evaluate the sample proximities. Besides, the choice of a good dissimilarity is a difficult task and depends on the problem at hand. In this chapter, we introduce a method to learn the metric from the data to improve the [Formula: see text]-NN classifier. To this aim, we consider a regularized version of the kernel alignment algorithm that incorporates a term that penalizes the complexity of the family of distances avoiding overfitting. The error function is optimized using a semidefinite programming approach (SDP). The method proposed has been applied to the challenging problem of cancer identification using the gene expression profiles. Kernel alignment [Formula: see text]-NN outperforms other metric learning strategies and improves the classical [Formula: see text]-NN algorithm.
authors.affiliation: Computer Science Department, Universidad Pontificia de Salamanca, C/Compañía 5, 37002 Salamanca, Spain. mmartinmac@upsa.es
authors.forename: Manuel
authors.initials: M
authors.lastname: Martín-Merino
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D019295:Computational Biology; D020869:Gene Expression Profiling / Q000706:statistics & numerical data*; D006801:Humans; D016403:Lymphoma, Large B-Cell, Diffuse / Q000145:classification / Q000235:genetics; D009369:Neoplasms / Q000145:classification* / Q000235:genetics*; D020411:Oligonucleotide Array Sequence Analysis / Q000706:statistics & numerical data