%0 Journal Article %T Normalized information-based divergences %A Jean-Fran£¿ois Coeurjolly %A R¨¦my Drouilhet %A Jean-Fran£¿ois Robineau %J Mathematics %D 2006 %I arXiv %X This paper is devoted to the mathematical study of some divergences based on the mutual information well-suited to categorical random vectors. These divergences are generalizations of the "entropy distance" and "information distance". Their main characteristic is that they combine a complexity term and the mutual information. We then introduce the notion of (normalized) information-based divergence, propose several examples and discuss their mathematical properties in particular in some prediction framework. %U http://arxiv.org/abs/math/0604246v2