Kernel method for clustering based on optimal target vector

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 pages, 4 figures

Scientific paper

10.1016/j.physleta.2006.04.086

We introduce the notion of optimal target vector, and describe how it creates a link between supervised and unsupervised learning. We exploit this notion to construct Ising models, for dichotomic clustering, whose couplings are (i) both ferro- and anti-ferromagnetic (ii) depending on the whole data-set and not only on pairs of samples. The effectiveness of the method is shown in the case of the well known iris data-set and in benchmarks of gene expression levels.

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