19 citations · 33 across the 6 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
cond-mat.stat-mech2010★ 2 cited
Dually flat structure with escort probability and its application to alpha-Voronoi diagrams
Atsumi Ohara, Hiroshi Matsuzoe, Shun-ichi Amari
This paper studies geometrical structure of the manifold of escort probability distributions and shows its new applicability to information science. In order to realize escort prob…
stat.CO2010
A Bregman Extension of quasi-Newton updates I: An Information Geometrical framework
Takafumi Kanamori, Atsumi Ohara
We study quasi-Newton methods from the viewpoint of information geometry induced associated with Bregman divergences. Fletcher has studied a variational problem which derives the a…
stat.CO2010★ 3 cited
A Bregman Extension of quasi-Newton updates II: Convergence and Robustness Properties
Takafumi Kanamori, Atsumi Ohara
We propose an extension of quasi-Newton methods, and investigate the convergence and the robustness properties of the proposed update formulae for the approximate Hessian matrix. F…