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Nivedita (Jul 07 2020 at 21:27):I was reading up on critical brain hypothesis , and as a preliminary set-up I defined the following Markov Process. After @John Baez 's talk today , does anyone feel that this formulation can be taken forward, and studied.
1.-Markov-Brain.jpg 2.-Markov-Brain.jpg
Oliver Shetler (Jul 07 2020 at 21:39):@Nivedita This isn't exactly the same thing, but Erhesmann and Gomez-Ramirez (and others) have been working on a categorical theory of neural architecture for a very, very long time. Here's a link to a good overview paper:
https://www.sciencedirect.com/science/article/pii/S0079610715001005
Oliver Shetler (Jul 07 2020 at 21:42):It feels like there should be lots of opportunity for cross-polination among these topics:
(1) Markov Categories,
(2) Petri Nets
And (3) MENS (Erhesmann et al)
Nivedita (Jul 07 2020 at 21:48):Oliver Shetler said:
Nivedita This isn't exactly the same thing, but Erhesmann and Gomez-Ramirez (and others) have been working on a categorical theory of neural architecture for a very, very long time. Here's a link to a good overview paper:
https://www.sciencedirect.com/science/article/pii/S0079610715001005
Hi! Yes, I have closely been following Erhesmann and Gomez-Ramirez (his book was good too https://link.springer.com/book/10.1007/978-94-007-7738-5) As you said they have been trying for very very long.
But, Critical brain hypothesis hasn't been discussed in their work. This is more Physics-y recent paper https://arxiv.org/abs/2001.04353 but no one applied CT in this approach. That is what I was thinking vaguely about, starting with a Markov or generalized Markov process.
Nivedita (Jul 07 2020 at 21:53):Oliver Shetler said:
It feels like there should be lots of opportunity for cross-polination among these topics:
(1) Markov Categories,
(2) Petri Nets
And (3) MENS (Erhesmann et al)
Can you point me to any groups (and places) actively trying to do this 'cross-pollination' :) That would help.
Oliver Shetler (Jul 07 2020 at 22:23):@Nivedita, I don't know of anybody actively researching these connections, but there are several running threads about Markov Categories and Petri Nets scattered about (it's probably easiest to just search for the terms). As for MENS, I haven't heard a peep about it from anybody since I joined the Zulip. I'm personally still building up to being able to fully understand a lot of their work.
Oliver Shetler (Jul 07 2020 at 22:27):As for the critical brain hypothesis stuff, this is very interesting. Thanks for the reference!
I think @David Jaz's work on dynamical systems may be relevant in that it is general enough to talk about the idea while incorperating the structures from MENS. Though this is just a guess.
Nivedita (Jul 07 2020 at 22:54):Oliver Shetler said:
Nivedita, I don't know of anybody actively researching these connections, but there are several running threads about Markov Categories and Petri Nets scattered about (it's probably easiest to just search for the terms). As for MENS, I haven't heard a peep about it from anybody since I joined the Zulip. I'm personally still building up to being able to fully understand a lot of their work.
Ah! I meant groups of people in real life (thinking about potential grad school places) and also so that I have some one to correspond with since no one around me is working on this right now, I am trying independently.
Jorge Soto-Andrade (Jul 08 2020 at 00:55):I think you could also google Karl Friston, and its FEP: Free Energy Principle, besides Markov Blankets..