Information geometry is the differential geometric treatment of statistical models. It thereby
provides the mathematical foundation of statistics. Information geometry therefore is of …

This is the first comprehensive book on information geometry, written by the founder of the
field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide …

This paper defines a new transport metric over the space of nonnegative measures. This
metric interpolates between the quadratic Wasserstein and the Fisher–Rao metrics and …

Chentsov's theorem, which characterises Markov invariant Riemannian metric and affine
connections of manifolds of probability distributions on finite sample spaces, is undoubtedly …

Several problems in stochastic analysis are defined through their geometry, and preserving
that geometric structure is essential to generating meaningful predictions. Nevertheless, how …

Decisions take time, and the time taken to reach a decision is likely to be informative about
the cost of more precise judgments. We formalize this insight using a dynamic model of …

This paper systematically presents the λ-deformation as the canonical framework of
deformation to the dually flat (Hessian) geometry, which has been well established in …

A bstract Driven quantum systems exhibit a large variety of interesting and sometimes exotic
phenomena. Of particular interest are driven conformal field theories (CFTs) which describe …

We propose a new principle for measuring the cost of information structures in rational
inattention problems, based on the cost of generating the information used to make a …

Uniqueness of the Fisher–Rao metric on the space of smooth densities | Bulletin of the London
Mathematical Society | Oxford Academic Skip to Main Content Advertisement Oxford Academic …