Special Issue "Information Geometry"

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A special issue of Entropy (ISSN 1099-4300).

Deadline for manuscript submissions: closed (31 March 2014)

Special Issue Editor

Guest Editor
Prof. Dr. Geert Verdoolaege
1 Research Unit Nuclear Fusion, Department of Applied Physics, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Ghent, Belgium
2 Laboratory for Plasma Physics, Royal Military Academy (ERM/KMS), Renaissancelaan 30 Avenue de la Renaissance, B-1000 Brussels, Belgium
Website: http://nuclearfusion.ugent.be
E-Mail: geert.verdoolaege@ugent.be
Interests: probability theory; Bayesian inference; machine learning; information geometry; differential geometry; nuclear fusion; plasma physics; plasma turbulence; continuum mechanics; statistical mechanics

Special Issue Information

Dear Colleagues,

The mathematical field of Information Geometry originated from the observation by C.R. Rao in 1945 that the Fisher information can be used to define a Riemannian metric in spaces of probability distributions. This led to a geometrical description of probability theory and statistics, allowing the study of the invariant properties of statistical manifolds. It was through the works of S.-I. Amari and others, that it was later realized that the differential-geometric structure of a statistical manifold can be derived from divergence functions, yielding a Riemannian metric and a pair of dually coupled affine connections.

Since then, Information Geometry has become a truly interdisciplinary field with applications in various domains. It enables a deeper understanding of the methods of statistical inference and machine learning, while providing a powerful framework for deriving new algorithms as well. As such, Information Geometry has many applications in optimization (e.g. on matrix manifolds), 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 wide variety of topics in physics, mathematical finance, biology and the neurosciences. In physics, there are many links through the fields of (nonextensive) statistical mechanics and quantum mechanics, since these are also based on probability theory. In addition, there are recent indications that the formalism of Information Geometry may be suitable for explaining or deriving other physical laws as well.

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.

Dr. Geert Verdoolaege
Guest Editor

Submission

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. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as 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 refereed through a 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 1200 CHF (Swiss Francs).

Keywords

  • information geometry
  • probability theory
  • statistics
  • machine learning
  • optimization
  • signal processing
  • image processing
  • statistical mechanics
  • quantum mechanics

Published Papers (17 papers)

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Displaying article 1-17
p. 4260-4289
by  and
Entropy 2014, 16(8), 4260-4289; doi:10.3390/e16084260
Received: 31 March 2014; in revised form: 10 July 2014 / Accepted: 11 July 2014 / Published: 28 July 2014
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(This article belongs to the Special Issue Information Geometry)
p. 4132-4167
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Entropy 2014, 16(7), 4132-4167; doi:10.3390/e16074132
Received: 28 March 2014; in revised form: 24 June 2014 / Accepted: 14 July 2014 / Published: 23 July 2014
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p. 4088-4100
by  and
Entropy 2014, 16(7), 4088-4100; doi:10.3390/e16074088
Received: 30 April 2014; in revised form: 30 June 2014 / Accepted: 14 July 2014 / Published: 18 July 2014
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(This article belongs to the Special Issue Information Geometry)
p. 4015-4031
by ,  and
Entropy 2014, 16(7), 4015-4031; doi:10.3390/e16074015
Received: 17 April 2014; in revised form: 23 June 2014 / Accepted: 9 July 2014 / Published: 17 July 2014
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(This article belongs to the Special Issue Information Geometry)
p. 3878-3888
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Entropy 2014, 16(7), 3878-3888; doi:10.3390/e16073878
Received: 15 May 2014; in revised form: 25 June 2014 / Accepted: 11 July 2014 / Published: 15 July 2014
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(This article belongs to the Special Issue Information Geometry)
p. 3832-3847
by  and
Entropy 2014, 16(7), 3832-3847; doi:10.3390/e16073832
Received: 14 April 2014; in revised form: 12 June 2014 / Accepted: 7 July 2014 / Published: 14 July 2014
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(This article belongs to the Special Issue Information Geometry)
p. 3670-3688
by , ,  and
Entropy 2014, 16(7), 3670-3688; doi:10.3390/e16073670
Received: 25 March 2014; in revised form: 6 June 2014 / Accepted: 20 June 2014 / Published: 1 July 2014
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(This article belongs to the Special Issue Information Geometry)
p. 3273-3301
by ,  and
Entropy 2014, 16(6), 3273-3301; doi:10.3390/e16063273
Received: 15 May 2014; in revised form: 10 June 2014 / Accepted: 13 June 2014 / Published: 17 June 2014
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p. 3207-3233
by ,  and
Entropy 2014, 16(6), 3207-3233; doi:10.3390/e16063207
Received: 31 March 2014; in revised form: 18 May 2014 / Accepted: 29 May 2014 / Published: 6 June 2014
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p. 3074-3102
by  and
Entropy 2014, 16(6), 3074-3102; doi:10.3390/e16063074
Received: 29 March 2014; in revised form: 23 May 2014 / Accepted: 28 May 2014 / Published: 3 June 2014
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(This article belongs to the Special Issue Information Geometry)
p. 3026-3048
by  and
Entropy 2014, 16(6), 3026-3048; doi:10.3390/e16063026
Received: 28 March 2014; in revised form: 9 May 2014 / Accepted: 22 May 2014 / Published: 28 May 2014
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p. 2944-2958
by ,  and
Entropy 2014, 16(6), 2944-2958; doi:10.3390/e16062944
Received: 1 April 2014; in revised form: 21 May 2014 / Accepted: 22 May 2014 / Published: 26 May 2014
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(This article belongs to the Special Issue Information Geometry)
p. 2472-2487
by  and
Entropy 2014, 16(5), 2472-2487; doi:10.3390/e16052472
Received: 13 December 2013; in revised form: 21 April 2014 / Accepted: 25 April 2014 / Published: 6 May 2014
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p. 2454-2471
by  and
Entropy 2014, 16(5), 2454-2471; doi:10.3390/e16052454
Received: 27 March 2014; in revised form: 25 April 2014 / Accepted: 29 April 2014 / Published: 2 May 2014
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(This article belongs to the Special Issue Information Geometry)
p. 2131-2145
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Entropy 2014, 16(4), 2131-2145; doi:10.3390/e16042131
Received: 14 February 2014; in revised form: 9 April 2014 / Accepted: 10 April 2014 / Published: 14 April 2014
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p. 2023-2055
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Entropy 2014, 16(4), 2023-2055; doi:10.3390/e16042023
Received: 12 February 2014; in revised form: 11 March 2014 / Accepted: 24 March 2014 / Published: 8 April 2014
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p. 1002-1036
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Entropy 2014, 16(2), 1002-1036; doi:10.3390/e16021002
Received: 4 December 2013; Accepted: 30 January 2014 / Published: 18 February 2014
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Last update: 20 August 2013

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