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pro vyhledávání: '"Wada, Tatsuaki"'
Autor:
Wada, Tatsuaki, Scarfone, Antoni M.
We have studied the gradient-flow equations in information geometry from a point-particle perspective. Based on the motion of a null (or light-like) particle in a curved space, we have rederived the Hamiltonians which describe the gradient-flows in i
Externí odkaz:
http://arxiv.org/abs/2406.11224
Autor:
Wada, Tatsuaki, Scarfone, Antonio M.
Publikováno v:
Entropy 2023, 25(2), 292
Constitutive relations are fundamental and essential to characterize physical systems. By utilizing the $\kappa$-deformed functions, some constitutive relations are generalized. We here show some applications of the Kaniadakis distributions based on
Externí odkaz:
http://arxiv.org/abs/2301.00914
Autor:
Wada, Tatsuaki
Publikováno v:
JGSP 66 (2023) 59-70
The gradient-flow equations with respect to the potential functions in information geometry are reconsidered from the perspective of the Weyl integrable geometry. The pre-geodesic equations associated with the gradient-flow equations are regarded as
Externí odkaz:
http://arxiv.org/abs/2212.14706
Autor:
Chanda, Sumanto, Wada, Tatsuaki
In this article we shall discuss the theory of geodesics in information geometry, and an application in astrophysics. We will study how gradient flows in information geometry describe geodesics, explore the related mechanics by introducing a constrai
Externí odkaz:
http://arxiv.org/abs/2212.06959
Autor:
Wada, Tatsuaki
This is a short note for some basics of information geometry from thermodynamics and Callen's themostatistics.
Comment: 6 pages, no figure
Comment: 6 pages, no figure
Externí odkaz:
http://arxiv.org/abs/2109.02438
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 geometric optics, we have related the gradient flows to the geodesic flows
Externí odkaz:
http://arxiv.org/abs/2105.12824
Autor:
Kaniadakis, Giorgio, Baldi, Mauro M., Deisboeck, Thomas S., Grisolia, Giulia, Hristopulos, Dionissios T., Scarfone, Antonio M., Sparavigna, Amelia, Wada, Tatsuaki, Lucia, Umberto
Publikováno v:
Scientific Report (2020) 10:19949
A great variety of complex physical, natural and artificial systems are governed by statistical distributions, which often follow a standard exponential function in the bulk, while their tail obeys the Pareto power law. The recently introduced $\kapp
Externí odkaz:
http://arxiv.org/abs/2012.00629
Publikováno v:
Physica A Volume 570, 15 May 2021, 125820
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 equation, which is equivalent to Hamilton-Jacobi equation. We relate
Externí odkaz:
http://arxiv.org/abs/2001.03437
Publikováno v:
Phys. Rev. E 100, 062135 (2019)
The class of SPA entropies, which can be represented as an increasing continuous transformation of Shannon and R\'enyi entropies, have intensively been studied in previous decades. Although their mathematical structure has thoroughly been explored an
Externí odkaz:
http://arxiv.org/abs/1905.10533
Autor:
Wada, Tatsuaki
Publikováno v:
Physica A, vol. 531, 121591, 2019
Some information geometric structures concerning the Mercator projections are studied. It is known that a loxodrome on the surface of the globe is related to the straight line on a Mercator map by the Mercator projection. It is not well known that an
Externí odkaz:
http://arxiv.org/abs/1905.11214