On the minimization of concave information functionals for unsupervised classification via decision trees

Damianos Karakos, Sanjeev Khudanpur, David J. Marchette, Adrian Papamarcou and Carey E. Priebe

Statistics & Probability Letters, 2008, vol. 78, issue 8, 975-984

Abstract: A popular method for unsupervised classification of high-dimensional data via decision trees is characterized as minimizing the empirical estimate of a concave information functional. It is shown that minimization of such functionals under the true distributions leads to perfect classification.

Date: 2008
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