Supplementary Materials for " On Path Integration of Grid Cells: Group Representation and Isotropic Scaling " Ruiqi Gao

The author is now a Research Scientist at Google Brain team. The above scaling shows that error correction depends on two factors. Group representation is a central theme in modern mathematics and physics. Thus the above orthogonal relations hold. The average absolute value of correlation is 0.09, and the We project v to v ( ˆ x), which is an re-encoding of v .