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math.DG2021★ 1 cited
Projections with logarithmic divergences
Zhixu Tao, Ting-Kam Leonard Wong
In information geometry, generalized exponential families and statistical manifolds with curvature are under active investigation in recent years. In this paper we consider the sta…
math.DG2019
Logarithmic divergences: geometry and interpretation of curvature
Ting-Kam Leonard Wong, Jiaowen Yang
We study the logarithmic -divergence which extrapolates the Bregman divergence and corresponds to solutions to novel optimal transport problems. We show that this logarith…