We study metric properties of symmetric divergences on Hermitian positive definite matrices. In particular, we prove that the square root these is a distance metric. As corollary obtain proof property for Quantum Jensen-Shannon-(Tsallis) (parameterized by α∈[0,2]). When specialized to α=1, as Jensen-Shannon divergence was conjectured Lamberti et al. (2008) [13], and recently also proved Viroszt...

We present a novel class of divergences induced by a smooth convex function called total Jensendivergences. Those total Jensen divergences are invariant by construction to rotations, a feature yieldingregularization of ordinary Jensen divergences by a conformal factor. We analyze the relationships be-tween this novel class of total Jensen divergences and the recently introduced tota...

Abstract: This paper proposes a radar target detection algorithm based on information geometry. In particular, the correlation of sample data is modeled as a Hermitian positive-definite (HPD) matrix. Moreover, a class of total Jensen–Bregman divergences, including the total Jensen square loss, the total Jensen log-determinant divergence, and the total Jensen von Neumann divergence, are proposed...