2020
DOI: 10.31219/osf.io/ek4n3
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Statistical Connectomics

Abstract: The data science of networks is a rapidly developing field with myriad applications. In neuroscience, the brain is commonly modeled as a connectome, a network of nodes connected by edges. While there have been thousands of papers on connectomics, the statistics of networks remains limited and poorly understood. Here, we provide an overview from the perspective of statistical network science of the kinds of models, assumptions, problems, and applications that are theoretically and empirically justified for an… Show more

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Cited by 9 publications
(10 citation statements)
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“…Specifically, correlation or coherence between each pair of EEG channels is computed and organized into an adjacency matrix, on which summary statistics are derived including degree distribution and variants of centrality [11, 12, 13, 10, 15]. Such network-based measures are not based on well formulated hypotheses of the role of the epileptic tissue in the iEEG network, and many different networks (adjacency matrices) can have identical summary statistics resulting in ambiguous interpretations of such measures [38].…”
Section: Discussionmentioning
confidence: 99%
“…Specifically, correlation or coherence between each pair of EEG channels is computed and organized into an adjacency matrix, on which summary statistics are derived including degree distribution and variants of centrality [11, 12, 13, 10, 15]. Such network-based measures are not based on well formulated hypotheses of the role of the epileptic tissue in the iEEG network, and many different networks (adjacency matrices) can have identical summary statistics resulting in ambiguous interpretations of such measures [38].…”
Section: Discussionmentioning
confidence: 99%
“…The homophilic effect is the tendency of connectivity to be stronger between regions in the same hemisphere than different hemispheres. To formalize this relationship, we leverage the Structured Independent Edge Model [3]. We use the Mann-Whitney U -statistic [8] to investigate the magnitude of the homotopic and homophilic effects.…”
Section: Control Numerical Experimentsmentioning
confidence: 99%
“…One way to determine if a motif is significant within a real biological dataset is to compare its observed frequency to its expected frequency within a random graph model. There are many different random graph models, each with different properties and capturing a different aspect of real world data [43]. Here, we perform subgraph search on five different random graph models.…”
Section: Comparison To Random Graph Modelsmentioning
confidence: 99%
“…The Watts-Strogatz model addresses the edge dependence issue more directly, recognizing that many real world networks have high clustering coefficients, which is a measure of the extent to which two adjacent nodes have similar neighbors [29]. The Barabási-Albert model is a preferential-attachment model that ensures a power-law degree distribution, making it a scale free graph model [30,43].…”
Section: Comparison To Random Graph Modelsmentioning
confidence: 99%