WebApr 9, 2024 · Finally, we characterize monomial isomorphisms between neural codes. Our work is based on the 2015 paper by C.~Curto and N.~Youngs about neural ring … http://www.its.caltech.edu/~matilde/FieldsInstituteGeomNeuroscienceTalk.pdf
SOME REMARKS ABOUT TRUNKS AND MORPHISMS OF NEURAL …
WebMorphisms of Neural Codes . We define a notion of morphism between combinatorial codes, making the class of all combinatorial codes into a category $\mathbf{Code}$. We show that morphisms can be used to remove redundant information from a code, and that morphisms preserve convexity. This fact leads us to define "minimally... WebThe neural rings and ideals as algebraic tools for analyzing the intrinsic structure of neural codes were introduced by C. Curto, V. Itskov, A. Veliz-Cuba, and N. Youngs in 2013. Since then they have been investigated in several papers, including the 2024 paper by S. G\"unt\"urk\"un, J. Jeffries, and J. Sun, in which the notion of polarization of neural … sea spinach
What Makes a Neural Code Convex? SIAM Journal on Applied …
WebPrevious work on convexity of neural codes has produced codes that are open-convex but not closed-convex—or vice-versa. However, why a code is one but not the other, ... R. A. Jeffs, Morphisms of neural codes, SIAM J. Appl. Algebra Geom., 4 … WebBut there is a case that we are actually talking about theories. In the case of neural codes or brains as computers, one might insist that the ... x f(b): the operation * defined on X is mapped to the operation x defined on Y (of course “metaphors are morphisms” is a metaphor!). For example, in the “let me cast light on this issue ... WebThis erratum corrects an erroneous claim in Remark 1.7 of “Morphisms of Neural Codes,” published in SIAM J. Appl. Algebra Geometry, 4 (2024), pp. 99--122. We provide an … seaspine navigation system