Parr, Pezzulo, Friston 2022 Textbook Cohort 5, Chapter 4 part 2

Textbook Group meeting for Parr, Pezzulo, Friston 2022 .

Nov 14, 2023

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Session details

Date: Nov 14, 2023

Series: Parr, Pezzulo, Friston 2022 Textbook Cohort 5, Chapter 4 part 2

Paper: Active Inference: The Free Energy Principle in Mind, Brain, and Behavior

Transcript

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The full transcript is available on GitHub. This excerpt is generated by automated speech recognition and may contain errors.

okay well welcome back everyone it's 11:14 we're in our second discussion on chapter so before we go to the chapter and questions does anyone have any comments or thoughts otherwise we'll just try to rapidly address as many questions as possible okay onwards then so in equation 419 what is the meaning of the Tilda ETA a component of the Tilda Epsilon subv okay so tildas are trajectories Tilda ATA error minus mean minus observation or external State sometimes I remember that because the um mu and ETA are like inverted of each other okay oh okay yeah yeah right but I but I I I mean there's various notation sets for internal and external States but U for mind Eda for environment exactly exactly but then e being for for error yeah but that's yeah cool okay in equation 415 are f and g associated with VF big F and EF Big G or is that just a coincidence that is just a coincidence s of Rel yeah I I mean there's there's no problem with adding more concordances but no the F and the G have nothing to do it I I think it's just f ofx and then picking the next appropriate letter Jeremy if you if you want to we're just starting from the bottom just trying to hit as many of the questions as possible or feel free to bring up a a thought gotcha in the Syntax for describing [Music] expectation no I tried to make these renders a l Tech but I ended up just messing up the entire column so no it looks good I like it with the code blocks um so I can talk through this question so there's the there's the expectation and then the subscript and then the um square bracket with the function inside now no nowhere in the text could I find an explanation of the subscript and it appears to me that that subscript is more is pretty darn important like it I would I'm not clear whether that subscript contains the waiting Factor um or or what its relation is to the variables that you're summing over so like in my example I I have an X and A Y in the in the subscript P of X I think so because there are times that where that subscript contains um multiple internal variables so what I'm trying to get clear is what we are actually summing over and what the waiting factor is whether the waiting factor is included in the square brackets or not um I believe that the subscript is um what you're summing over like as if it were below the sigma like from you know n 1 to Nal 10 and then the waiting is described by the evaluation of the function across those those categorical or continuous values right well well my my understanding of the expectation function is that you have not just you have the value at a certain in um value of x and then you have the probability of that value and so if you have a dice a six died dice the probability is always one over six but um for our circumstances there's usually a a higher weight probability right so I yeah in this block it's like I'm I'm just bothered that in that box where they explain expectation they don't explain the subscript um and it's it's causing me a lot of grief I guess okay I'll just man go for it oh did you want to add something manir okay yeah box 2.2 could have a definition of subscript um here's the probability this is the waiting here's the value of x here's the probability of X weighted by their probability and here's summing overx values and that's the expectation of X but you you you're right when you have two variables that it needs to be treated a little bit carefully okay what is mean what is meant by Niche simple simply environment of the agent there's also longer answers I'm sure people can provide anyone else want to give a thought environment of the agent partially constructed or conformed by the agent yeah maybe possible for them to to modify or construct it but but not necessarily but yes across the interaction it has to exist okay if anyone else wants to to ask a different question just raise your hand or go for it otherwise we're just trying to go to as many of the written questions as possible this is…