There is fair amount of research in the area of high dimensional computing, as well as with sparse representations, which seem to be grounded in neuroscience. As others have pointed out, a number of commercial research labs exists. There is Numenta with their Hierarchical Temporal Memory, and Vicarious (whose founder was one of Numenta's co-founders), as well as Cortical.io (who are borrowing sparse binary coding concepts from Numenta, combining it with self-organizing maps, and applying it to document understanding tasks).