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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Year of Publication:2019
Language:English
Physical Description:1 electronic resource (356 p.)
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spelling Verdoolaege, Geert auth
Information Geometry
MDPI - Multidisciplinary Digital Publishing Institute 2019
1 electronic resource (356 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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.
English
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
3-03897-632-6
language English
format eBook
author Verdoolaege, Geert
spellingShingle Verdoolaege, Geert
Information Geometry
author_facet Verdoolaege, Geert
author_variant g v gv
author_sort Verdoolaege, Geert
title Information Geometry
title_full Information Geometry
title_fullStr Information Geometry
title_full_unstemmed Information Geometry
title_auth Information Geometry
title_new Information Geometry
title_sort information geometry
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2019
physical 1 electronic resource (356 p.)
isbn 3-03897-632-6
illustrated Not Illustrated
work_keys_str_mv AT verdoolaegegeert informationgeometry
status_str n
ids_txt_mv (CKB)4920000000095241
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carrierType_str_mv cr
is_hierarchy_title Information Geometry
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