Results 271 to 280 of about 1,600,993 (289)

Information geometry

Japanese Journal of Mathematics, 2021
SummaryStatistical inference is constructed upon a statistical model consisting of a parameterised family of probability distributions, which forms a manifold. It is important to study the geometry of the manifold. It was Professor C. R. Rao who initiated information geometry in his monumental paper published in 1945.
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Finite Information Geometry

2017
This chapter investigates probability distributions on a finite sample space and takes advantage of the more elementary nature of this setting. There are two complementary ways to view a probability distribution. One consists in viewing it as (positive) measure with total mass 1.
Hông Vân Lê   +3 more
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Information Geometry and Statistics

2017
We apply the functional analytical and differential geometric results of the preceding chapters to the field of statistics and obtain very general versions of the basic classical results. In a narrower sense, the term statistic refers to a mapping from a given sample space Ω to another Ω′, and it is called sufficient for a parametric family, if the ...
Jürgen Jost   +3 more
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Informational geometry of social choice [PDF]

open access: possibleSocial Choice and Welfare, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Information geometry of Boltzmann machines [PDF]

open access: possibleIEEE Transactions on Neural Networks, 1992
A Boltzmann machine is a network of stochastic neurons. The set of all the Boltzmann machines with a fixed topology forms a geometric manifold of high dimension, where modifiable synaptic weights of connections play the role of a coordinate system to specify networks. A learning trajectory, for example, is a curve in this manifold.
H. Nagaoka, Shun-ichi Amari, K. Kurata
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A foundation of information geometry [PDF]

open access: possibleElectronics and Communications in Japan (Part I: Communications), 1983
AbstractThis paper proposes a new geometrical basic theory for the field of information science. the traditional theory for the information system is occupied fully by detailed discussions of the properties of a system, and the importance has not been recognized for the mutual relationship within a set of information systems.
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