In Jeff's book he points out that in biological systems information is also sent down the hierarchy. Has this feature been implemented in any of your work? The idea seems intuitive. If I see a house I expect to see a door and a door knob. Potentiating the system to be sensitive to these features given the context makes sense.
I see lots of work on forward and backwards in time but have not noticed down the hierarchy but I am not an expert in HTM. This idea seems like it would be useful also in neural networks without a sense of time. But I have never seen it done.