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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2014 Volume 54, Number 6, Pages 1033–1047 (Mi zvmmf10056)

Analysis of the generalization ability of a full decision tree

I. E. Genrikhov

Moscow State Pedagogical University, Malaya Pirogovskaya ul. 1, Moscow, 119991, Russia

Abstract: Classification algorithms based on full decision trees are investigated. Due to the decision tree construction under consideration, all the features satisfying a branching criterion are taken into account at each special vertex. The generalization ability of a full decision tree is estimated by applying margin theory. It is shown on real-life problems that the construction of a full decision tree leads to an increase in the margins of the learning objects; moreover, the number of objects with a positive margin increases as well. It is shown that the empirical Rademacher complexity of a full decision tree is lower than that of a classical decision tree.

Key words: precedent-based pattern recognition problem, full decision tree, margin, Rademacher complexity, iterative scheme.

UDC: 519.712

MSC: 68T10 (91B06)

Received: 01.08.2013

DOI: 10.7868/S0044466914060076


 English version:
Computational Mathematics and Mathematical Physics, 2014, 54:6, 1046–1059

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