Results 51 to 60 of about 1,328,298 (163)

Information Geometry under Hierarchical Quantum Measurement

open access: yesPhysical Review Letters, 2022
This is a short version of arXiv:2109 ...
Hongzhen Chen, Yu Chen, Haidong Yuan
openaire   +3 more sources

α-Geodesical Skew Divergence

open access: yesEntropy, 2021
The asymmetric skew divergence smooths one of the distributions by mixing it, to a degree determined by the parameter λ, with the other distribution. Such divergence is an approximation of the KL divergence that does not require the target distribution ...
Masanari Kimura, Hideitsu Hino
doaj   +1 more source

A unified framework for information integration based on information geometry

open access: yes, 2015
We propose a unified theoretical framework for quantifying spatio-temporal interactions in a stochastic dynamical system based on information geometry.
Amari, Shun-ichi   +2 more
core   +1 more source

On Information Geometrical Structures

open access: yesHittite Journal of Science and Engineering, 2018
Information geometry is a modern differential geometric approach to statistics, in particular theory of information. The main motivation for this expository survey article is the lack of compact material that mainly address to mathematical audience ...
Fatma Muazzez Simsir
doaj   +1 more source

Subband Information Geometry Detection Method Based on Orthogonal Projection for Weak Radar Targets

open access: yesLeida xuebao, 2023
Herein, a novel and effective method for detecting radar targets with a low signal-to-clutter ratio is proposed based on the information geometry theory.
Zheng YANG   +4 more
doaj   +1 more source

Dual Connections in Nonparametric Classical Information Geometry

open access: yes, 2010
We construct an infinite-dimensional information manifold based on exponential Orlicz spaces without using the notion of exponential convergence. We then show that convex mixtures of probability densities lie on the same connected component of this ...
Grasselli, M. R.
core   +2 more sources

Multisource Fusion UAV Cluster Cooperative Positioning Using Information Geometry

open access: yesRemote Sensing, 2022
Due to the functional limitations of a single UAV, UAV clusters have become an important part of smart cities, and the relative positioning between UAVs is the core difficulty in UAV cluster applications.
Chengkai Tang   +4 more
doaj   +1 more source

Cramer-Rao Lower Bound and Information Geometry

open access: yes, 2013
This article focuses on an important piece of work of the world renowned Indian statistician, Calyampudi Radhakrishna Rao. In 1945, C. R. Rao (25 years old then) published a pathbreaking paper, which had a profound impact on subsequent statistical ...
Nielsen, Frank
core   +1 more source

The Information Geometry of Space and Time

open access: yes, 2005
Is the geometry of space a macroscopic manifestation of an underlying microscopic statistical structure? Is geometrodynamics - the theory of gravity - derivable from general principles of inductive inference? Tentative answers are suggested by a model of
Caticha, Ariel
core   +3 more sources

Stochastic time-evolution, information geometry and the Cramer-Rao Bound [PDF]

open access: yes, 2019
We investigate the connection between the time-evolution of averages of stochastic quantities and the Fisher information and its induced statistical length.
Dechant, Andreas, Ito, Sosuke
core   +2 more sources

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