Topic: Lie groups

All organisms make temporal predictions, and their evolutionary fitness level generally scales with the accuracy of these predictions. In visual perception, observer motion and continuous deformations of objects and textures imbue our visual input with distinct temporal structures, enabling partial prediction of future inputs from past ones. Inspired by recent hypotheses that primate visual representations support prediction by ``straightening'' the temporal trajectories of naturally-occurring input (Henaff et. al., 2019), we formulate an architecture for image representation that facilitates