no code implementations • 5 Oct 2023 • Kumar Vijay Mishra, M. Ashok Kumar, Ting-Kam Leonard Wong
Information geometry is a study of statistical manifolds, that is, spaces of probability distributions from a geometric perspective.
no code implementations • 2 Apr 2021 • Kumar Vijay Mishra, M. Ashok Kumar
We examine the role of information geometry in the context of classical Cram\'er-Rao (CR) type inequalities.
no code implementations • 11 Feb 2020 • Kumar Vijay Mishra, M. Ashok Kumar
The relative $\alpha$-entropy is the R\'enyi analog of relative entropy and arises prominently in information-theoretic problems.
no code implementations • 14 Jan 2020 • M. Ashok Kumar, Kumar Vijay Mishra
We study the geometry of probability distributions with respect to a generalized family of Csisz\'ar $f$-divergences.