There are two equivalent definitions of the generalized Jensen-Shannon divergence: the original definition based on Shannon entropy (Lin, 1991), and a reshaped one expressed as the average Kullback-Leibler divergence of each P i to the centroid P (Aslam and Pavlu, 2007).
we adopt the latter one here: Now substituting D ⇤ into J D Fs : by the non-negativity of JSD (Lin, 1991), we have the following corollary: Corollary 1.