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Mathematics - Geometry & Topology | Information Geometry

Information Geometry

Information Geometry

Editor-in-Chief: Shinto Eguchi
Co-Editors: N. Ay; F. Nielsen; J. Zhang

ISSN: 2511-2481 (print version)
ISSN: 2511-249X (electronic version)

Journal no. 41884

Manuscript Submission 

Manuscript Submission

Submission of a manuscript implies: that the work described has not been published before; that it is not under consideration for publication anywhere else; that its publication has been approved by all co-authors, if any, as well as by the responsible authorities – tacitly or explicitly – at the institute where the work has been carried out. The publisher will not be held legally responsible should there be any claims for compensation.


Authors wishing to include figures, tables, or text passages that have already been published elsewhere are required to obtain permission from the copyright owner(s) for both the print and online format and to include evidence that such permission has been granted when submitting their papers. Any material received without such evidence will be assumed to originate from the authors.

Online Submission

Please follow the hyperlink “Submit online” on the right and upload all of your manuscript files following the instructions given on the screen.

Title page 

Title Page

The title page should include:
  • The name(s) of the author(s)
  • A concise and informative title
  • The affiliation(s) and address(es) of the author(s)
  • The e-mail address, and telephone number(s) of the corresponding author
  • If available, the 16-digit ORCID of the author(s)


Please provide an abstract of 150 to 250 words. The abstract should not contain any undefined abbreviations or unspecified references.


Please provide 4 to 6 keywords which can be used for indexing purposes.


Text formatting

Manuscripts should be submitted in LaTeX. Please use Springer’s LaTeX macro package and choose the formatting option “smallextended”.
The submission should include the original source (including all style files and figures) and a PDF version of the compiled output.
All pages should be numbered. The maximum length of the manuscript should normally not exceed 40 pages.


Please use the decimal system of headings with no more than three levels.


Abbreviations should be defined at first mention and used consistently thereafter.


Acknowledgments of people, grants, funds, etc. should be placed in a separate section on the title page. The names of funding organizations should be written in full.

LaTeX and Online Submission 

All source files you upload in the online submission system will be automatically compiled into a single PDF file to be approved by you at the end of the submission process. While the compiled PDF will be used for peer-review purposes, your uploaded source files will be transferred to the publisher for publication upon acceptance.
Please do not use subfolders for your LaTeX submission, e.g. for figures or bibliographic files. Further technical information on uploading and compiling your LaTeX submission can be found under



Reference citations in the text should be identified by numbers in square brackets. Some examples:
1. Negotiation research spans many disciplines [3].
2. This result was later contradicted by Becker and Seligman [5].
3. This effect has been widely studied [1-3, 7].

Reference list

The list of references should only include works that are cited in the text and that have been published or accepted for publication. Personal communications and unpublished works should only be mentioned in the text. Do not use footnotes or endnotes as a substitute for a reference list.
The entries in the list should be numbered consecutively.
  • Journal article
    Hamburger, C.: Quasimonotonicity, regularity and duality for nonlinear systems of partial differential equations. Ann. Mat. Pura Appl. 169, 321–354 (1995)
  • Article by DOI
    Sajti, C.L., Georgio, S., Khodorkovsky, V., Marine, W.: New nanohybrid materials for biophotonics. Appl. Phys. A (2007). https://doi.org/10.1007/s00339-007-4137-z
  • Book
    Geddes, K.O., Czapor, S.R., Labahn, G.: Algorithms for Computer Algebra. Kluwer, Boston (1992)
  • Book chapter
    Broy, M.: Software engineering — from auxiliary to key technologies. In: Broy, M., Denert, E. (eds.) Software Pioneers, pp. 10–13. Springer, Heidelberg (2002)
  • Online document
    Cartwright, J.: Big stars have weather too. IOP Publishing PhysicsWeb. http://physicsweb.org/articles/news/11/6/16/1 (2007). Accessed 26 June 2007
Always use the standard abbreviation of a journal’s name according to the ISSN List of Title Word Abbreviations, see
If you are unsure, please use the full journal title.
For authors using EndNote, Springer provides an output style that supports the formatting of in-text citations and reference list.


  • All tables are to be numbered using Arabic numerals.
  • Tables should always be cited in text in consecutive numerical order.
  • For each table, please supply a table caption (title) explaining the components of the table.
  • Identify any previously published material by giving the original source in the form of a reference at the end of the table caption.
  • Footnotes to tables should be indicated by superscript lower-case letters (or asterisks for significance values and other statistical data) and included beneath the table body.

Artwork and Illustrations Guidelines 

Electronic Figure Submission

  • Supply all figures electronically.
  • Indicate what graphics program was used to create the artwork.
  • For vector graphics, the preferred format is EPS; for halftones, please use TIFF format. MSOffice files are also acceptable.
  • Vector graphics containing fonts must have the fonts embedded in the files.
  • Name your figure files with "Fig" and the figure number, e.g., Fig1.eps.

Line Art

Line BW
  • Definition: Black and white graphic with no shading.
  • Do not use faint lines and/or lettering and check that all lines and lettering within the figures are legible at final size.
  • All lines should be at least 0.1 mm (0.3 pt) wide.
  • Scanned line drawings and line drawings in bitmap format should have a minimum resolution of 1200 dpi.
  • Vector graphics containing fonts must have the fonts embedded in the files.

Halftone Art

Halftone gray color
  • Definition: Photographs, drawings, or paintings with fine shading, etc.
  • If any magnification is used in the photographs, indicate this by using scale bars within the figures themselves.
  • Halftones should have a minimum resolution of 300 dpi.

Combination Art

  • Definition: a combination of halftone and line art, e.g., halftones containing line drawing, extensive lettering, color diagrams, etc.
  • Combination artwork should have a minimum resolution of 600 dpi.

Color Art

  • Color art is free of charge for online publication.
  • If black and white will be shown in the print version, make sure that the main information will still be visible. Many colors are not distinguishable from one another when converted to black and white. A simple way to check this is to make a xerographic copy to see if the necessary distinctions between the different colors are still apparent.
  • If the figures will be printed in black and white, do not refer to color in the captions.
  • Color illustrations should be submitted as RGB (8 bits per channel).

Figure Lettering

  • To add lettering, it is best to use Helvetica or Arial (sans serif fonts).
  • Keep lettering consistently sized throughout your final-sized artwork, usually about 2–3 mm (8–12 pt).
  • Variance of type size within an illustration should be minimal, e.g., do not use 8-pt type on an axis and 20-pt type for the axis label.
  • Avoid effects such as shading, outline letters, etc.
  • Do not include titles or captions within your illustrations.

Figure Numbering

  • All figures are to be numbered using Arabic numerals.
  • Figures should always be cited in text in consecutive numerical order.
  • Figure parts should be denoted by lowercase letters (a, b, c, etc.).
  • If an appendix appears in your article and it contains one or more figures, continue the consecutive numbering of the main text. Do not number the appendix figures,
    "A1, A2, A3, etc." Figures in online appendices (Electronic Supplementary Material) should, however, be numbered separately.

Figure Captions

  • Each figure should have a concise caption describing accurately what the figure depicts. Include the captions in the text file of the manuscript, not in the figure file.
  • Figure captions begin with the term Fig. in bold type, followed by the figure number, also in bold type.
  • No punctuation is to be included after the number, nor is any punctuation to be placed at the end of the caption.
  • Identify all elements found in the figure in the figure caption; and use boxes, circles, etc., as coordinate points in graphs.
  • Identify previously published material by giving the original source in the form of a reference citation at the end of the figure caption.

Figure Placement and Size

  • Figures should be submitted separately from the text, if possible.
  • When preparing your figures, size figures to fit in the column width.
  • For most journals the figures should be 39 mm, 84 mm, 129 mm, or 174 mm wide and not higher than 234 mm.
  • For books and book-sized journals, the figures should be 80 mm or 122 mm wide and not higher than 198 mm.


If you include figures that have already been published elsewhere, you must obtain permission from the copyright owner(s) for both the print and online format. Please be aware that some publishers do not grant electronic rights for free and that Springer will not be able to refund any costs that may have occurred to receive these permissions. In such cases, material from other sources should be used.


In order to give people of all abilities and disabilities access to the content of your figures, please make sure that
  • All figures have descriptive captions (blind users could then use a text-to-speech software or a text-to-Braille hardware)
  • Patterns are used instead of or in addition to colors for conveying information (colorblind users would then be able to distinguish the visual elements)
  • Any figure lettering has a contrast ratio of at least 4.5:1

Electronic Supplementary Material 

Springer accepts electronic multimedia files (animations, movies, audio, etc.) and other supplementary files to be published online along with an article or a book chapter. This feature can add dimension to the author's article, as certain information cannot be printed or is more convenient in electronic form.
Before submitting research datasets as electronic supplementary material, authors should read the journal’s Research data policy. We encourage research data to be archived in data repositories wherever possible.


  • Supply all supplementary material in standard file formats.
  • Please include in each file the following information: article title, journal name, author names; affiliation and e-mail address of the corresponding author.
  • To accommodate user downloads, please keep in mind that larger-sized files may require very long download times and that some users may experience other problems during downloading.

Audio, Video, and Animations

  • Aspect ratio: 16:9 or 4:3
  • Maximum file size: 25 GB
  • Minimum video duration: 1 sec
  • Supported file formats: avi, wmv, mp4, mov, m2p, mp2, mpg, mpeg, flv, mxf, mts, m4v, 3gp

Text and Presentations

  • Submit your material in PDF format; .doc or .ppt files are not suitable for long-term viability.
  • A collection of figures may also be combined in a PDF file.


  • Spreadsheets should be submitted as .csv or .xlsx files (MS Excel).

Specialized Formats

  • Specialized format such as .pdb (chemical), .wrl (VRML), .nb (Mathematica notebook), and .tex can also be supplied.

Collecting Multiple Files

  • It is possible to collect multiple files in a .zip or .gz file.


  • If supplying any supplementary material, the text must make specific mention of the material as a citation, similar to that of figures and tables.
  • Refer to the supplementary files as “Online Resource”, e.g., "... as shown in the animation (Online Resource 3)", “... additional data are given in Online Resource 4”.
  • Name the files consecutively, e.g. “ESM_3.mpg”, “ESM_4.pdf”.


  • For each supplementary material, please supply a concise caption describing the content of the file.

Processing of supplementary files

  • Electronic supplementary material will be published as received from the author without any conversion, editing, or reformatting.


In order to give people of all abilities and disabilities access to the content of your supplementary files, please make sure that
  • The manuscript contains a descriptive caption for each supplementary material
  • Video files do not contain anything that flashes more than three times per second (so that users prone to seizures caused by such effects are not put at risk)

After acceptance 

Upon acceptance of your article you will receive a link to the special Author Query Application at Springer’s web page where you can sign the Copyright Transfer Statement online and indicate whether you wish to order OpenChoice, offprints, or printing of figures in color.
Once the Author Query Application has been completed, your article will be processed and you will receive the proofs.

Copyright transfer

Authors will be asked to transfer copyright of the article to the Publisher (or grant the Publisher exclusive publication and dissemination rights). This will ensure the widest possible protection and dissemination of information under copyright laws.


Offprints can be ordered by the corresponding author.

Color illustrations

Online publication of color illustrations is free of charge. For color in the print version, authors will be expected to make a contribution towards the extra costs.

Proof reading

The purpose of the proof is to check for typesetting or conversion errors and the completeness and accuracy of the text, tables and figures. Substantial changes in content, e.g., new results, corrected values, title and authorship, are not allowed without the approval of the Editor.
After online publication, further changes can only be made in the form of an Erratum, which will be hyperlinked to the article.

Online First

The article will be published online after receipt of the corrected proofs. This is the official first publication citable with the DOI. After release of the printed version, the paper can also be cited by issue and page numbers.

For authors and editors

  • Aims and Scope

    Aims and Scope


    This journal will publish original work in the emerging interdisciplinary field of information geometry, with both a theoretical and computational emphasis. Information geometry connects various branches of mathematical science in dealing with uncertainty and information based on unifying geometric concepts. Furthermore, it demonstrates the great potential of abstract thinking and corresponding formalisms within many application fields.

    Theoretical topics of interest will include, but are not limited to, the Fisher–Rao metric, the Amari–Chentsov tensor, alpha geometry, dual connections, exponential and mixture geodesics, divergence functions, information and entropy functions, convex analysis, Hessian geometry, information projections, q-statistics and deformed exponential/logarithm, algebraic statistics, optimal transport geometry, and related topics.

    The authors and audience of this journal will be interdisciplinary, coming from the many disciplines that inspire the development of information-geometric methods and benefit from their application, including mathematics, statistics, machine learning, neuroscience, information theory, statistical and quantum physics, control theory and optimization, complex networks and systems, theoretical biology, cognitive science, mathematical finance, and allied disciplines.

  • Submit Online
  • Open Choice - Your Way to Open Access
  • Instructions for Authors
  • About the Editors

    About the Editors


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