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. 2019 Jul 25;9:10812. doi: 10.1038/s41598-019-47205-5

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© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Illustrative example of SOM for two classes A and B, coloured red and blue, respectively. The weight vectors W and C can be thought of as making up additional planes in the z direction. Class planes are formed having values close to 1 for a given class and values close to 0 otherwise. These are used for classification and identification of the most important planes in W for the SOMDI.