346 citations · 434 across the 19 of their papers we have counts for
4 papers · 1 filter
On Conformal Isometry of Grid Cells: Learning Distance-Preserving Position Embedding
Dehong Xu, Ruiqi Gao, Wen-Hao Zhang +2
This paper investigates the conformal isometry hypothesis as a potential explanation for the hexagonal periodic patterns in grid cell response maps. We posit that grid cell activit…
Emergence of Grid-like Representations by Training Recurrent Networks with Conformal Normalization
Dehong Xu, Ruiqi Gao, Wen-Hao Zhang +2
Grid cells in the entorhinal cortex of mammalian brains exhibit striking hexagon grid firing patterns in their response maps as the animal (e.g., a rat) navigates in a 2D open envi…
Conformal Isometry of Lie Group Representation in Recurrent Network of Grid Cells
Dehong Xu, Ruiqi Gao, Wen-Hao Zhang +2
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 ne…
On Path Integration of Grid Cells: Group Representation and Isotropic Scaling
Ruiqi Gao, Jianwen Xie, Xue-Xin Wei +2
Understanding how grid cells perform path integration calculations remains a fundamental problem. In this paper, we conduct theoretical analysis of a general representation model o…