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On Geometric Properties of the Textile Set and Strict Textile Set

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Geometric Science of Information (GSI 2019)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 11712))

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Abstract

The textile plot is a tool for data visualisation proposed by Kumasaka and Shibata (2008). The textile set is a geometric object constructed to understand the textile plot outputs. In this study, we find additional facts on a proper subset called the strict textile set. Furthermore, we investigate differential and analytical geometric properties of the textile set.

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References

  1. Inselberg, A.: The plane with parallel coordinates. Vis. Comput. 1(2), 69–91 (1985). https://doi.org/10.1007/BF01898350

    Article  MathSciNet  MATH  Google Scholar 

  2. Inselberg, A.: Parallel Coordinates: Visual Multidimensional Geometry and Its Applications. Springer, New York (2009). https://doi.org/10.1007/978-0-387-68628-8

    Book  MATH  Google Scholar 

  3. Kumasaka, N., Shibata, R.: High-dimensional data visualisation: the textile plot. Comput. Stat. Data Anal. 52(7), 3616–3644 (2008). https://doi.org/10.1016/j.csda.2007.11.016

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  4. Kumasaka, N., Nakamura, Y., Kamatani, N.: The textile plot: a new linkage disequilibrium display of multiple-single nucleotide polymorphism genotype data. PLoS One 5(4), e10207 (2010). https://doi.org/10.1371/journal.pone.0010207

    Article  Google Scholar 

  5. Sei, T., Tanaka, U.: Geometric properties of textile plot. In: Nielsen, F., Barbaresco, F. (eds.) GSI 2015. LNCS, vol. 9389, pp. 732–739. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-25040-3_78

    Chapter  MATH  Google Scholar 

  6. Wegman, E.: Hyperdimensional data analysis using parallel coordinates. J. Am. Stat. Assoc. 85(411), 664–675 (1990). https://doi.org/10.2307/2290001

    Article  Google Scholar 

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Acknowledgements

We would like to thank two referees for their helpful comments. This work was supported by JSPS KAKENHI Grant Numbers JP26108003, JP17K00044 and JP19K11865.

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Authors and Affiliations

  1. The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan

    Tomonari Sei

  2. Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai-shi, Osaka, 599-8531, Japan

    Ushio Tanaka

Authors
  1. Tomonari Sei
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  2. Ushio Tanaka
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Corresponding author

Correspondence to Tomonari Sei .

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Editors and Affiliations

  1. Sony Computer Science Laboratories, Inc., Tokyo, Japan

    Frank Nielsen

  2. Thales, Limours, France

    Frédéric Barbaresco

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Sei, T., Tanaka, U. (2019). On Geometric Properties of the Textile Set and Strict Textile Set. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2019. Lecture Notes in Computer Science(), vol 11712. Springer, Cham. https://doi.org/10.1007/978-3-030-26980-7_1

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  • DOI: https://doi.org/10.1007/978-3-030-26980-7_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-26979-1

  • Online ISBN: 978-3-030-26980-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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