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. 2019 Feb 13;9:1900. doi: 10.1038/s41598-018-38406-5

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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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Profile Log-Likelihood of ICN-Based Community Structure in Each Component. This statistic serves to quantify presence of ICN structure in each component using a stochastic block model (SBM) framework. The blue trace is the profile log-likelihood from the SBM according to the community assignments given in Power et al.²⁵. Note that ICN structure is most prominent in early (high variance explained) components. The red trace is the median profile log-likelihood across many random shufflings of the community assignments and serves as a null distribution. Of note, the 95% confidence interval of the null distribution is plotted on the red line, but it is very narrow and not easily visible.