神经环和神经理想这一概念是由Curto等(2013)提出的,它们是用于整理和分析神经编码中复杂组合信息的一种有用的代数方法.文章主要研究了神经理想的典范形式集与Gröbner基之间的关系, 并根据Gröbner 基中的元素给出了3种新类型的RF-关系.
Abstract
As presented by Curto, et al. (2013), neural rings and ideals serve as powerful algebraic constructs that facilitate the systematic organization and analysis of combinatorial data within neural codes. In this paper, we present the relationship between the Gröbner basis and canonical form of the neural ideal. Some new RF-relationships are given by analyzing the forms of elements in neural ideals.
关键词
神经理想 /
Gröbner基 /
典范形式集
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Key words
Neural ideal /
Gröbner basis /
canonical form
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中图分类号：
68Q40
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参考文献
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脚注
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基金
国家自然科学基金项目(12201204, 11971161, 12271154), 湖南省自然科学基金(2023JJ40275, 2022JJ30234)资助课题.
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