Numenta has published [a paper about applying sparsity to DL 
systems](https://arxiv.org/abs/1903.11257). Outside of that however, not that I 
know of.
Regarding the algorithm you've suggested, I don't understand how that would 
work. Can you elaborate, please?
I guess what you're suggesting has a strong resemblance to the displacement 
cell Numenta has suggested in [this 
paper](https://numenta.com/neuroscience-research/research-publications/papers/a-framework-for-intelligence-and-cortical-function-based-on-grid-cells-in-the-neocortex/).





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