Generalización de la divergencia de Jensen Shannon a estadística no extensiva para el análisis de secuencias

BUSSANDRI DIEGO; GARRO LINCK LEONEL; MIGUEL RÉ; WALTER LAMBERTI

Asociación Física Argentina

Lugar: Tandil; Año: 2013 vol. 24 p. 113 - 113

ensen Shannon Divergence (JSD), a symmetrized version of the Kullback Leibler divergence, allows to quantify the difference between probability distributions. Due to this property, JSD has been widely used in the symbolic sequence annalysis by comparing the symbolic composition of possible subsequences. One advantage of JSD is that it does not require the symbolic sequence to be mapped to a numerical sequence, which is necessary for instance in spectral correlation analysis. Different generalizations of JSD have been proposed to improve detection of sequences borders, in particular for DNA sequence analysis. Since its original proposal, Tsallis entropy has been considered to generalize Boltzmann Gibbs Shannon entropy results and applications. Different JSD Tsallis extensions have been suggested and its properties analyzed. We present here possible extensions of JSD in Tsallis entropy framework and consider the results obtained when applied to DNA sequence analysis for subsequences