11 citations · 11 across the 3 of their papers we have counts for
3 papers
math.DG2023
The space of positive transition measures on a Markov chain
Naomichi Nakajima
Information geometry of Markov chains has been studied using the dually flat structure of the space of transition probabilities. Although applications of this structure have been i…
math.DG2022
Local normal forms of em-wavefronts in affine flat coordinates
Naomichi Nakajima
In our previous work, we have generalized the notion of dually flat or Hessian manifold to quasi-Hessian manifold; it admits the Hessian metric to be degenerate but possesses a par…
math.DG2020★ 11 cited
The dually flat structure for singular models
Naomichi Nakajima, Toru Ohmoto
The dually flat structure introduced by Amari-Nagaoka is highlighted in information geometry and related fields. In practical applications, however, the underlying pseudo-Riemannia…