What can topology tell us about the neural code?
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Publication:3178748
DOI10.1090/bull/1554zbMath1353.92027arXiv1605.01905OpenAlexW2963731896MaRDI QIDQ3178748
Publication date: 20 December 2016
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01905
Applications of graph theory (05C90) Neural biology (92C20) Research exposition (monographs, survey articles) pertaining to biology (92-02) Generalities in topology (54A99)
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Cites Work
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- The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codes
- Obstructions to convexity in neural codes
- Describing high-order statistical dependence using ``concurrence topology, with application to functional MRI brain data
- On open and closed convex codes
- Algebraic signatures of convex and non-convex codes
- Multinerves and helly numbers of acyclic families
- Clique topology reveals intrinsic geometric structure in neural correlations
- Neural Representation of Spatial Topology in the Rodent Hippocampus
- A No-Go Theorem for One-Layer Feedforward Networks
- Barcodes: The persistent topology of data
- What Makes a Neural Code Convex?