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Kaitlyn Phillipson, Elena S. (, Advances in mathematical sciences)We present results and conjectures on the connection between the convexity of a neural code and the canonical form of its ideal. The connection is established through properties of the Gröbner basis of the neural ideal and the uniqueness of its reduced form. An efficient algorithm for identifying neural codes with unique reduced Gröbner bases is introduced.more » « less
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He, Qijun; Dimitrova, Elena S.; Stigler, Brandilyn; Zhang, Anyu (, Bulletin of Mathematical Biology)
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