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cs.IT2025
Two tales for a geometric Jensen--Shannon divergence
Frank Nielsen
The geometric Jensen--Shannon divergence (G-JSD) gained popularity in machine learning and information sciences thanks to its closed-form expression between Gaussian distributions.…
cs.IT2025
Curved representational Bregman divergences and their applications
Frank Nielsen
By analogy to the terminology of curved exponential families in statistics, we define curved Bregman divergences as Bregman divergences restricted to non-affine parameter subspaces…
cs.IT2024★ 4 cited
Approximation and bounding techniques for the Fisher-Rao distances between parametric statistical models
Frank Nielsen
The Fisher-Rao distance between two probability distributions of a statistical model is defined as the Riemannian geodesic distance induced by the Fisher information metric. In ord…