The importance of the whole: Topological data analysis for the network neuroscientist

Ann E. Sizemore, Jennifer E. Phillips‐Cremins, Robert Ghrist et al.

2018 · Network Neuroscience · 213 citations

Data analysis techniques from network science have fundamentally improved our understanding of neural systems and the complex behaviors that they support. Yet the restriction of network techniques to the study of pairwise interactions prevents us from taking into account intrinsic topological features such as cavities that may be crucial for system function. To detect and quantify these topological features, we must turn to algebro-topological methods that encode data as a simplicial complex built from sets of interacting nodes called simplices. We then use the relations between simplices to…

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