17 citations · 38 across the 10 of their papers we have counts for
10 papers
Divergence and Deformed Exponential Family
Hiroshi Matsuzoe, Asuka Takatsu
The Kullback--Leibler divergence together with exponential families establishes the foundation of information geometry and is widely generalized. Among the generalization, we focus…
Open problems in information geometry: a discussion at FDIG 2025
Tomonari Sei, Hiroshi Matsuzoe
Open problems in information geometry are collected and discussed in the conference ``Further Developments of Information Geometry (FDIG) 2025'' held at the University of Tokyo, Ja…
Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average
A. M. Scarfone, H. Matsuzoe, T. Wada
We show the robustness of the structure of Legendre transform in thermodynamics against the replacement of the standard linear average with the Kolmogorov-Nagumo nonlinear average…
Huygens' equations and the gradient-flow equations in information geometry
Tatsuaki Wada, Antonio M. Scarfone, Hiroshi Matsuzoe
We revisit the relation between the gradient-flow equations and Hamilton's equations in information geometry. By regarding the gradient-flow equations as Huygens' equations in geom…
Gauge freedom of entropies on -Gaussian measures
Hiroshi Matsuzoe, Asuka Takatsu
A -Gaussian measure is a generalization of a Gaussian measure. This generalization is obtained by replacing the exponential function with the power function of exponent $1/(1-q)…
An eikonal equation approach to thermodynamics and the gradient flows in information geometry
Tatsuaki Wada, Antonio M. Scarfone, Hiroshi Matsuzoe
We can incorporate a "time" evolution into thermodynamics as a Hamilton-Jacobi dynamics. A set of the equations of states in thermodynamics is considered as the generalized eikonal…