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Histogram of the number of communities per participant (n = 16). B
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Coassignment percentages vs. chance. Coassignment is calculated as
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the mean % of critical, LE, or SA node pairs per participant
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sharing a community. Empiric chance was calculated based on 1000
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random shuffles of community assignment per participant, presented
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as mean coassignment% per participant with bars indicating
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standard error of mean (n = 16 for Critical, n = 15 for LE and
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SA). Critical nodes, language error nodes, and speech arrest nodes
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were significantly more likely to coassign in the same communities
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than chance (p < 0.001 for all, one-tailed estimate against
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empiric chance). Language error and speech arrest nodes were not
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more likely to be found in the same community as each other
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compared to chance (35.2 vs. 30.4%, p = 0.112, one-tailed estimate
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against empiric chance). C Network metrics for critical vs. all
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other nodes (150 critical nodes, 1084 non-critical nodes).
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Critical nodes have higher PC and lower CC, LEff, and EC than
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other nodes. D Network metrics for LE, SA, and other nodes (92
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language error nodes, 52 speech arrest nodes, 1084 non-critical
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nodes). LE nodes have markedly higher PC than SA and other nodes.
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C, D Metrics were z-scored for each subject prior to pooling all
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nodes together. All nodes are plotted in light gray; mean values
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per participant in larger, bolder colors. Boxes indicate the
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median and IQR, and notch indicates the standard error of the
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median. Statistical testing is based on a two-sided two-sample
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t-test on z-scored metrics across all pooled nodes with FDR
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correction. For additional details, refer to Table 1. Source data
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are provided as a Source Data file."
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{' '}
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"A DES was used either intraoperatively (depicted) or in the epilepsy monitoring unit to identify sites critical to language and speech. These were subdivided into cortical regions causing language errors (LE) or speech arrest (SA). B We recorded continuous ECoG while participants engaged in a word-reading task. C We generated one static network for each participant using pairwise high-gamma correlations. Color-coded adjacency matrix shown; the color in position (m,n) reflects to the high-gamma correlation between electrode m and n. r is the Fisher-transformed Pearson correlation. Community partitions were discovered using modularity maximization. Electrodes have been re-ordered so those belonging to the same community are adjacent (boundaries shown in black lines). D Spring-loaded network plot; nodes (circles) that are more strongly connected are drawn more closely together. The size of each node is proportional to its strength. Community membership is indicated by the fill color of each node. The nodes outlined in blue are LE nodes. E Network metrics were calculated—PC (participation coefficient), strength, CC (clustering coefficient), LE (local efficiency), and EC (eigenvector centrality). Metric values for every node are plotted; large colored points represent critical nodes and small gray points are all other nodes. Boxes demonstrate the median and interquartile range. We used these metrics to train machine learning classifiers to predict which nodes would be critical to language and speech. Example data (C–E) are provided from a single participant (n = 1) for each visualization. Source data are provided as a Source Data file."
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</p>
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)}
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{index1===4&&(
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) : (
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<p>
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"For within-participant classification, participants with at least
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four nodes of the relevant class were included; for critical
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nodes, LE nodes, and SA nodes, n = 15, 10, and 8, respectively.
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For across-participant classification, participants with at least
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one node of the relevant class were included—for critical nodes,
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LE nodes, and SA nodes, n = 16, 13, and 13, respectively. A–D Each
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dot represents average classification balanced accuracy or
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sensitivity for a single participant. Box plots show median and
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IQR across participants and are derived from a single value per
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participant. Whiskers indicate a non-outlier maximum range. True
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balanced accuracy and sensitivity were compared against empirical
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chance calculated by label-shuffling. The average chance
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classification accuracy per participant is represented by the
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chance box plots for SVN and KNN (one value per participant). Data
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for SVM, KNN, and chance for SVM and KNN are presented in
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different colors as indicated by the legend. E, F ROC curves
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presented for SVM (solid lines) and KNN (dashed lines)
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classifiers, when classifying SA (orange), LE (magenta), and
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critical (dark blue) nodes separately, as indicated by the legend.
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For further details, refer to Tables 2, 3. Source data are
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provided as a Source Data file."
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{' '}
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"An example of performance of a bivariate smoothing model, dependently on the number of data-points included in 2D moving average (window size), for ERC containing 20 channels (K=20) recorded during naming of ambiguous objects. Top panel shows results in patient #8. Top-left: the difference between the ERC values and the values of 2D moving average. Top-middle; confidence interval. Top-right: the criterion for model selection. X and Y axes represent window size by distances from the center-point of the window of 2D moving average, in time-points and frequency-points accordingly. Colorscale (min-max) at the right. Bottom panel shows the criterion for model selection averaged over all patients (bottom-left) and their projections on time-plane (bottom-middle), and on frequency-plane (bottom-right)."
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</p>
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)}
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)} */}
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</Col>
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</Row>
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@@ -292,7 +126,16 @@ function Main() {
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significance in two-dimensional space, and can analyze much longer
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time series. We also propose a criterion for statistical model
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selection, based on both goodness of fit and width of confidence
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intervals.
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intervals. Using ERC with 2D moving average to study naming under
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conditions in which perceptual modality and ambiguity were
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contrasted, we observed new patterns of task-related neural
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propagation that were nevertheless consistent with expectations
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derived from previous studies of naming. ERC with 2D moving average
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is uniquely suitable to both research and clinical applications and
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can be used to estimate the statistical significance of neural
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propagation for both cognitive neuroscientific studies and
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functional brain mapping prior to resective surgery for epilepsy and
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