Long-range navigation by path integration and decoding of grid cells in a neural network

Neural modelers in the domain of robot navigation, e.g. within the fields of neurorobotics and neuromorphic engineering, can benefit from a wealth of inspiration from neuroscientific research in the hippocampal formation-cell types such as place cells and grid cells provide a window into the inner workings of high-level cognitive processing, and have spawned many interesting computational models. Grid cells are thought to participate in path integration and to implement a general coordinate system, both of which are useful features in a neural navigation model. Continuous attractor networks are a computational model that can embody both aspects of grid cells, and in previous work we showed that a neural network can successfully decode the outputs of such networks in order to implement vector navigation. That work assumes that the grid cell system represents long distances by employing a geometric progression in its spatial scaling of successive submodules, in such a way that “nested” grid cell decoding can be performed. For long-range navigation this requires that the continuous attractor networks can implement sufficiently long geometric progressions of grid scales, but this turns out to trigger the issue of “pinning”. In this paper we demonstrate conditions under which pinning occurs as well as its consequences for the grid cell-based navigation model. We propose and assess several candidate solutions to the problem, in particular based on differential adjustment of neurons' update rates in the model. We finally demonstrate that the system is able to perform long-range navigation using our chosen solution.