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. 2017 Oct 24;8:1116. doi: 10.1038/s41467-017-01109-y

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© The Author(s) 2017

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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Fig. 5 — Separation of the effects of correlation on learning speed from expansion and population sparsening. a Histograms of the normalized population correlation (granule cell correlation/mossy fiber correlation) for granule cell (GC) patterns (top, blue) and shuffled GC patterns (bottom, purple). The narrow distribution around 1 indicates that the shuffled GC patterns have the same normalized population correlation as the mossy fiber (MF) patterns. b Normalized total variance (left) and average activity (right) for GC patterns (abscissa) versus shuffled GC patterns (ordinate). c Population sparseness (green) plotted for GC patterns (abscissa) and shuffled GC patterns (ordinate). Green indicates the fraction of inactive GCs for comparison as an alternate measure of population sparseness. d Raw learning speed for true GC patterns (left) and shuffled GC patterns (right). In both panels, MF inputs are correlated with a correlation radius of σ = 20 μm. e Change in learning speed due to correlations (i.e., GC speed/shuffled GC speed) plotted against the normalized population correlation. Each point represents different values of N_syn and f_MF. Correlation radii were σ = 10 μm (red) or 20 μm (black)