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\]  This measure of distance has several disadvantages; it is not symmetric and it is not a metric. The Jensen-Shannon divergence is defined using the Kullback-Leibler divergence in a way that makes it symmetric  \[  JS(A;B) = \frac{1}{2} D(A||M) \mbox{$\frac{1}{2}$} \big(D(A||M)  + \frac{1}{2} D(B||M) D(B||M)\big)  \]  where $\phi(M_x) = \frac{1}{2}\big(\phi(A_x) + \phi(B_x)\big)$