全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Neural ring homomorphisms and maps between neural codes

Full-Text   Cite this paper   Add to My Lib

Abstract:

Understanding how the brain stores and processes information is central to mathematical neuroscience. Neural data is often represented as a neural code: a set of binary firing patterns $\mathcal{C}\subset\{0,1\}^n$. We have previously introduced the neural ring, an algebraic object which encodes combinatorial information, in order to analyze the structure of neural codes. We now relate maps between neural codes to notions of homomorphism between the corresponding neural rings. Using three natural operations on neural codes (permutation, inclusion, deletion) as motivation, we search for a restricted class of homomorphisms which correspond to these natural operations. We choose the framework of linear-monomial module homomorphisms, and find that the class of associated code maps neatly captures these three operations, and necessarily includes two others - repetition and adding trivial neurons - which are also meaningful in a neural coding context.

Full-Text

Contact Us

[email protected]

QQ:3279437679

WhatsApp +8615387084133