Divergence measures based on the Shannon entropy Export

@article{citeulike:949352, abstract = {A novel class of information-theoretic divergence measures based on the Shannon entropy is introduced. Unlike the well-known Kullback divergences, the new measures do not require the condition of absolute continuity to be satisfied by the probability distributions involved. More importantly, their close relationship with the variational distance and the probability of misclassification error are established in terms of bounds. These bounds are crucial in many applications of divergence measures. The measures are also well characterized by the properties of nonnegativity, finiteness, semiboundedness, and boundedness}, author = {Lin, J.}, citeulike-article-id = {949352}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/18.61115}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=61115}, day = {06}, doi = {10.1109/18.61115}, journal = {Information Theory, IEEE Transactions on}, keywords = {entropy, kikuchi-approximations}, month = {August}, number = {1}, pages = {145--151}, posted-at = {2007-12-24 21:29:56}, priority = {2}, title = {Divergence measures based on the Shannon entropy}, url = {http://dx.doi.org/10.1109/18.61115}, volume = {37}, year = {2002} }

TY - JOUR ID - citeulike:949352 L3 - citeulike-article-id:949352 N2 - A novel class of information-theoretic divergence measures based on the Shannon entropy is introduced. Unlike the well-known Kullback divergences, the new measures do not require the condition of absolute continuity to be satisfied by the probability distributions involved. More importantly, their close relationship with the variational distance and the probability of misclassification error are established in terms of bounds. These bounds are crucial in many applications of divergence measures. The measures are also well characterized by the properties of nonnegativity, finiteness, semiboundedness, and boundedness IS - 1 JF - Information Theory, IEEE Transactions on EP - 151 TI - Divergence measures based on the Shannon entropy VL - 37 SP - 145 KW - entropy KW - kikuchi-approximations AU - Lin, J PY - 2002/08/06/ UR - http://dx.doi.org/10.1109/18.61115 ER -