TY - BOOK
ID - 32845
TI - Information Geometry
AU - Verdoolaege, Geert
PB - MDPI - Multidisciplinary Digital Publishing Institute
PY - 2019
KW - Markov random fields
KW - information theory
KW - Fisher information
KW - entropy
KW - maximum pseudo-likelihood estimation
KW - Bezout matrix
KW - Sylvester matrix
KW - tensor Sylvester matrix
KW - Stein equation
KW - Vandermonde matrix
KW - stationary process
KW - matrix resultant
KW - Fisher information matrix
KW - information geometry
KW - dually flat structure
KW - decomposable divergence
KW - (?,?)
SN - 9783038976325
AB - 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.
ER -