ArticleNetwork neuroscience (Cambridge, Mass.)2019
The importance of the whole: Topological data analysis for the network neuroscientist.
Article in Network neuroscience (Cambridge, Mass.), 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 80 papers.
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Who cites it
80 citing papers in PubMed.
- Topologically-based parameter inference for agent-based model selection from spatiotemporal cellular data.PLoS computational biology · 2026Article
- Charting higher-order models of brain function beyond pairwise interactions.Nature communications · 2026Article
- Efficient Gillespie algorithms for spreading phenomena in large and heterogeneous higher-order networks.Nature communications · 2026Article
- Article
- Chordless cycle filtrations for dimensionality detection in complex networks via topological data analysis.Nature communications · 2026Article
- Enhancing structural to functional brain network prediction using topological graph learning.Frontiers in neuroscience · 2026Article
- Unveiling synchronization transitions in networks of coupled oscillators through persistent homology of local structures.Scientific reports · 2025Article
- The topology of synergy: Linking topological and information-theoretic approaches to higher-order interactions in complex systems.PLoS computational biology · 2025Article
- Topological analysis of neuronal assemblies reveals low-rank structure modulated by cholinergic activity.bioRxiv : the preprint server for biology · 2025Article
- Interaction of Functional Brain Networks Is Associated With k-Clique Percolation in the Human Structural Connectome.Human brain mapping · 2025Article
- Introduction to correlation networks: Interdisciplinary approaches beyond thresholding.Physics reports · 2025Article
- Higher-order and distributed synergistic functional interactions encode information gain in goal-directed learning.Nature communications · 2025Article
- Article
- Juvenile Myoclonic Epilepsy Imaging Endophenotypes and Relationship With Cognition and Resting-State EEG.Human brain mapping · 2025Article
- Heterogeneous and higher-order cortical connectivity undergirds efficient, robust, and reliable neural codes.iScience · 2025Article
- H-VIP: quantifying regional topological contributions of the brain network to cognition.Frontiers in radiology · 2025Article
- Higher-order connectomics of human brain function reveals local topological signatures of task decoding, individual identification, and behavior.Nature communications · 2024Article
- Specific inhibition and disinhibition in the higher-order structure of a cortical connectome.Cerebral cortex (New York, N.Y. : 1991) · 2024Article
- Kernel machine tests of association using extrinsic and intrinsic cluster evaluation metrics.PLoS computational biology · 2024Article
- From pixels to connections: exploring in vitro neuron reconstruction software for network graph generation.Communications biology · 2024Review
20 more citing papers are in PubMed but not listed here.
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4 authors.
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Abstract
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 expose cavities within the complex, thereby summarizing its topological features. Here we provide an introduction to persistent homology, a fundamental method from applied topology that builds a global descriptor of system structure by chronicling the evolution of cavities as we move through a combinatorial object such as a weighted network. We detail the mathematics and perform demonstrative calculations on the mouse structural connectome, synapses in
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.