LEADER 02332nam 2200505z- 450 001 9910346839903321 005 20210211 035 $a(CKB)4920000000095241 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/50220 035 $a(oapen)doab50220 035 $a(EXLCZ)994920000000095241 100 $a20202102d2019 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aInformation Geometry 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 215 $a1 online resource (356 p.) 311 08$a3-03897-632-6 330 $aThis 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. 610 $a?) 610 $a(? 610 $aBezout matrix 610 $adecomposable divergence 610 $adually flat structure 610 $aentropy 610 $aFisher information 610 $aFisher information matrix 610 $ainformation geometry 610 $ainformation theory 610 $aMarkov random fields 610 $amatrix resultant 610 $amaximum pseudo-likelihood estimation 610 $astationary process 610 $aStein equation 610 $aSylvester matrix 610 $atensor Sylvester matrix 610 $aVandermonde matrix 700 $aVerdoolaege$b Geert$4auth$01309762 906 $aBOOK 912 $a9910346839903321 996 $aInformation Geometry$93029571 997 $aUNINA