4 ms·
Here is a direct link to the paper from 2017: https://www.frontiersin.org/articles/10.3389/fncom.2017.00048/full https://www.frontiersin.org/articles/10.3389/fn
by ivan_ah 7y ago
Here is a direct link to the paper from 2017:
https://www.frontiersin.org/articles/10.3389/fncom.2017.00048/full https://www.frontiersin.org/articles/10.3389/fncom.2017.0004... (paper has 102 citations according to google scholar see https://scholar.google.com/scholar?cites=11648945278530609413&as_sdt=2005&sciodt=0,5&hl=en https://scholar.google.com/scholar?cites=1164894527853060941... )
regarding "dimension" it's used in this sense of dimension of a simplex:
> Following the conventions in algebraic topology, we refer to directed cliques of n neurons as directed simplices of dimension n-1 (which reflects their natural geometric representation as (n-1)-dimensional polyhedra) (see Figure S2; Section 4.1.3). Correspondingly, their sub-cliques are called sub-simplices.
Figure S2 is in the Supplemental Material (and extra PDF 15 page of bonus materials) https://www.frontiersin.org/articles/10.3389/fncom.2017.00048/full#supplementary-material https://www.frontiersin.org/articles/10.3389/fncom.2017.0004...
Also related def'n on wikipedia: https://en.wikipedia.org/wiki/Simplex#Algebraic_topology https://en.wikipedia.org/wiki/Simplex#Algebraic_topology
From what I understand of simplex of dim n-1 == clique of n neurons (in a directed graph)
https://www.math.ucdavis.edu/~daddel/linear_algebra_appl/Applications/GraphTheory/GraphTheory_9_17/node10.html https://www.math.ucdavis.edu/~daddel/linear_algebra_appl/App...