Conformal Isometry of Lie Group Representation in Recurrent Network of Grid Cells. (arXiv:2210.02684v2 [q-bio.NC] UPDATED)

The activity of the grid cell population in the medial entorhinal cortex
(MEC) of the mammalian brain forms a vector representation of the self-position
of the animal. Recurrent neural networks have been proposed to explain the
properties of the grid cells by updating the neural activity vector based on
the velocity input of the animal. In doing so, the grid cell system effectively
performs path integration. In this paper, we investigate the algebraic,
geometric, and topological properties of grid cells …

arxiv bio cells grid network representation