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Special Issue "Information Geometry III"
A special issue of Entropy (ISSN 1099-4300).
Deadline for manuscript submissions: 15 January 2020.
2. Laboratory for Plasma Physics, Royal Military Academy (ERM/KMS), Renaissancelaan 30 Avenue de la Renaissance, B-1000 Brussels, Belgium
Interests: probability theory; Bayesian inference; machine learning; information geometry; differential geometry; nuclear fusion; plasma physics; plasma turbulence; continuum mechanics; statistical mechanics
Special Issues and Collections in MDPI journals
Special Issue in Entropy: Selected Papers from MaxEnt 2016
Special Issue in Entropy: Information Geometry II
Special Issue in Entropy: Selected Papers from 5th International Electronic Conference on Entropy and Its Applications
The mathematical field of Information Geometry originated from the observation that the Fisher information can be used to define a Riemannian metric on manifolds of probability distributions. This led to a geometrical description of probability theory and statistics, allowing studies of the invariant properties of statistical manifolds. It was through the work of S.-I. Amari and others that it was later realized that the differential-geometric structure of a statistical manifold can be extended to families of dual affine connections and that such a structure can be derived from divergence functions.
Since then, Information Geometry has become a truly interdisciplinary field with applications in various domains. It enables a deeper and more intuitive understanding of the methods of statistical inference and machine learning, while providing a powerful framework for deriving new algorithms. As such, Information Geometry has many applications in optimization, signal and image processing, computer vision, neural networks and other subfields of the information sciences. Furthermore, the methods of Information Geometry have been applied to a broad variety of topics in physics, mathematical finance, biology and the neurosciences. In physics, there are many links with fields that have a natural probabilistic interpretation, including (nonextensive) statistical mechanics and quantum mechanics.
For this Special Issue we welcome submissions related to the foundations and applications of Information Geometry. We envisage contributions that aim at clarifying the connection of Information Geometry with both the information sciences and the physical sciences, so as to demonstrate the profound impact of the field in these disciplines. In addition, we hope to receive original papers illustrating the wide variety of applications of the methods of Information Geometry.
Prof. Dr. Geert Verdoolaege
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.
1.Title: Voronoi Diagrams in Information Sciences
Author: Frank NIELSEN
Institute: Ecole Polytechnique, Paris, France