I’m reading this paper at the moment. I am vaguely reminded of error correcting codes.

http://journal.frontiersin.org/article/10.3389/fncom.2017.00048/full

Maybe it would be worth rereading some of the books by John L Casti.

https://books.google.com.vn/books?id=rWLvCAAAQBAJ&pg=PA32&lpg=PA32&dq=casti+simplex&source=bl&ots=8bxvQsFD34&sig=w93Jj9T4RiC-Sj6zH4hEs-R6gPU&hl=en&sa=X&ved=0ahUKEwixlK7hwLjUAhXMKZQKHY9XBJAQ6AEIUDAJ#v=onepage&q=casti%20simplex&f=false

I’m not heavily versed in algebraic topology, so I’m not completely familiar with much of the terminology here, but from what I gather, the paper suggests that based on computer models, neocortical networks should feature far more cases of relatively large, heavily interconnected networks of neurons than would be expected in a purely random network. Not terribly large (like 5-8 neurons), but where each neuron in the group is connected to each other.

This seems to me to perhaps have something to do with sequence memory. Perhaps this is a result of the cortex learning a lot of complex sequences? The paper also is suggesting this as a new way to mathematically analyze the connectivity in neural networks; perhaps it would be a good idea to run similar analysis on an HTM network? If we want to show that HTM is a good model of the cortex, more evidence to support it is always good.

Yeh, I only was only able to get a rough idea of what they are talking about. I would like to reread one of Casti’s books to see if it would help. I think there was some explanation of simplexes and reasoning with probability. Or are there crystalline aspects to the structure of the brain:

https://www.amazon.com/Regular-Complex-Polytopes-H-Coxeter/dp/0521394902

Or it could just be the signature of a common hardwired algorithm in the brain.

Anyway, I think I’d rather wait for someone else to figure it out.

Just read an article on this paper.

When working on a problem, neurons in the brain form into “a multi-dimensional sandcastle that materialises out of the sand and then disintegrates”

https://cosmosmagazine.com/mathematics/how-your-brain-works-in-11-dimensions