Information Geometry

This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field employin...

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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Verdoolaege, Geert
Fformat: Online
Iaith:Saesneg
Cyhoeddwyd: MDPI - Multidisciplinary Digital Publishing Institute 2021
Pynciau:
Mynediad Ar-lein:32845
Tagiau: Ychwanegu Tag
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author Verdoolaege, Geert
author_browse Verdoolaege, Geert
author_facet Verdoolaege, Geert
author_sort Verdoolaege, Geert
collection Directory of Open Access Books
description This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field employing the methods of differential geometry. It has numerous applications to data science, physics, and neuroscience. Presenting original research, yet written in an accessible, tutorial style, this collection of papers will be useful for scientists who are new to the field, while providing an excellent reference for the more experienced researcher. Several papers are written by authorities in the field, and topics cover the foundations of information geometry, as well as applications to statistics, Bayesian inference, machine learning, complex systems, physics, and neuroscience.
format Online
id doab-20.500.12854ir-50220
institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-502202023-12-20T18:40:39Z Information Geometry Verdoolaege, Geert QA1-939 Q1-390 decomposable divergence tensor Sylvester matrix maximum pseudo-likelihood estimation matrix resultant ?) Markov random fields Fisher information Fisher information matrix Stein equation entropy Sylvester matrix information geometry stationary process (? dually flat structure information theory Bezout matrix Vandermonde matrix bic Book Industry Communication::P Mathematics & science This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field employing the methods of differential geometry. It has numerous applications to data science, physics, and neuroscience. Presenting original research, yet written in an accessible, tutorial style, this collection of papers will be useful for scientists who are new to the field, while providing an excellent reference for the more experienced researcher. Several papers are written by authorities in the field, and topics cover the foundations of information geometry, as well as applications to statistics, Bayesian inference, machine learning, complex systems, physics, and neuroscience. 2021-02-11T16:13:48Z 2021-02-11T16:13:48Z 2019-04-05 10:34:31 2019 book 32845 9783038976325 https://directory.doabooks.org/handle/20.500.12854/50220 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://play.google.com/books/publish/a/14935057684283403269#details/ISBN:9783038976325 https://mdpi.com/books/pdfview/book/1207 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03897-633-2 10.3390/books978-3-03897-633-2 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783038976325 356 open access
spellingShingle QA1-939
Q1-390
decomposable divergence
tensor Sylvester matrix
maximum pseudo-likelihood estimation
matrix resultant
?)
Markov random fields
Fisher information
Fisher information matrix
Stein equation
entropy
Sylvester matrix
information geometry
stationary process
(?
dually flat structure
information theory
Bezout matrix
Vandermonde matrix
bic Book Industry Communication::P Mathematics & science
Verdoolaege, Geert
Information Geometry
title Information Geometry
title_full Information Geometry
title_fullStr Information Geometry
title_full_unstemmed Information Geometry
title_short Information Geometry
title_sort information geometry
topic QA1-939
Q1-390
decomposable divergence
tensor Sylvester matrix
maximum pseudo-likelihood estimation
matrix resultant
?)
Markov random fields
Fisher information
Fisher information matrix
Stein equation
entropy
Sylvester matrix
information geometry
stationary process
(?
dually flat structure
information theory
Bezout matrix
Vandermonde matrix
bic Book Industry Communication::P Mathematics & science
topic_facet QA1-939
Q1-390
decomposable divergence
tensor Sylvester matrix
maximum pseudo-likelihood estimation
matrix resultant
?)
Markov random fields
Fisher information
Fisher information matrix
Stein equation
entropy
Sylvester matrix
information geometry
stationary process
(?
dually flat structure
information theory
Bezout matrix
Vandermonde matrix
bic Book Industry Communication::P Mathematics & science
url 32845
work_keys_str_mv AT verdoolaegegeert informationgeometry