This work investigates whether population vector coding, a distributed computational paradigm, could be a principle mechanism for performing sensorimotor and frames of reference transformations. This paper presents a multilayer neural network that can perform arbitrary three-dimensional rotations and translations. We demonstrate, both formally and numerically, that the non-linearity of these transformations can be resolved thanks to the recurrent and concurrent activities of continuous populations of neurons.
Nicolas Henri Bernard Flammarion, Etienne Patrice Boursier
Michaël Unser, Pakshal Narendra Bohra
Wulfram Gerstner, Stanislaw Andrzej Wozniak, Ana Stanojevic, Giovanni Cherubini, Angeliki Pantazi