Neural Ring Homomorphisms and Maps Between Neural Codes

DOI10.1007/978-3-030-43408-3_7zbMath1448.62214arXiv1511.00255OpenAlexW3159316707MaRDI QIDQ5118364

Nora Youngs, Carina Curto

Publication date: 8 September 2020

Published in: Topological Data Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00255

zbMATH Keywords

topological data analysisneural codes

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)

Related Items (2)

Homomorphisms preserving neural ideals ⋮ Morphisms of Neural Codes

Cites Work

• Unnamed Item
• The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codes
• Obstructions to convexity in neural codes
• Homomorphisms preserving neural ideals
• On open and closed convex codes
• Algebraic signatures of convex and non-convex codes
• What can topology tell us about the neural code?
• Combinatorial Neural Codes from a Mathematical Coding Theory Perspective
• A No-Go Theorem for One-Layer Feedforward Networks
• What Makes a Neural Code Convex?

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