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Theory of Classification: a Survey of Some Recent Advances

Stéphane Boucheron, Olivier Bousquet, Gábor Lugosi (2010)

ESAIM: Probability and Statistics

The last few years have witnessed important new developments in the theory and practice of pattern classification. We intend to survey some of the main new ideas that have led to these recent results.

Using the one-versus-rest strategy with samples balancing to improve pairwise coupling classification

Wiesław Chmielnicki, Katarzyna Stąpor (2016)

International Journal of Applied Mathematics and Computer Science

The simplest classification task is to divide a set of objects into two classes, but most of the problems we find in real life applications are multi-class. There are many methods of decomposing such a task into a set of smaller classification problems involving two classes only. Among the methods, pairwise coupling proposed by Hastie and Tibshirani (1998) is one of the best known. Its principle is to separate each pair of classes ignoring the remaining ones. Then all objects are tested against...

Vingt analyses multivariées d'une structure connue

H. Le Bras (1974)

Mathématiques et Sciences Humaines

L'usage croissant des analyses multivariées modifie la méthode de plusieurs sciences sociales. Le débat sur leur validité est toutefois assez confus car des questions de pure mathématique se mélangent à des problèmes perceptifs (représentation) et logiques (modélisation). Nous n'avons actuellement ni les moyens ni l'ambition d'aborder théoriquement leur statut, mais nous pensons fournir un document utile au débat en appliquant la majorité des méthodes à un même objet déjà connu et en comparant leur...

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