10 citations · 72 across the 46 of their papers we have counts for
3 papers · 1 filter
Laplacian operator on statistical manifold
Ruichao Jiang, Javad Tavakoli, Yiqiang Zhao
In this paper, we define a Laplacian operator on a statistical manifold, called the vector Laplacian. This vector Laplacian incorporates information from the Amari-Chentsov tensor.…
Information geometry and Frobenius algebra
Ruichao Jiang, Javad Tavakoli, Yiqiang Zhao
We show that a Frobenius sturcture is equivalent to a dually flat sturcture in information geometry. We define a multiplication structure on the tangent spaces of statistical manif…
Weyl Prior and Bayesian Statistics
Ruichao Jiang, Javad Tavakoli, Yiqiang Zhao
When using Bayesian inference, one needs to choose a prior distribution for parameters. The well-known Jeffreys prior is based on the Riemann metric tensor on a statistical manifol…