Epistemological Status: I attempt to distill the minimal map argument and provide a natural way to chain a sequence of queries together. I argue that this definition, together with reasonable symmetry constraints on the minimal map, provides an intuitive explanation for the appearance of neural networks.
Minimal Maps
Say we sample an observation (o,h)∈O×H from a state-observation pair and want to decide based only on o whether h has a property U. We can define the function χU:H×O→{0,1} to indicate whether or not an observation has the property we have in mind. Concretely,
χU(o)=χU(ho|o)={1ho has property U0otherwise
I've chosen to suppress the reference to the hidden state since it's not an observable. This could alternatively be viewed as... (read 1250 more words →)
Just wanted to give some validation. I left a comment on this post a while ago pointing out how one (or apparently a few) users can essentially down vote you however they like to silence opinions they don't agree with. Moderation is tricky and it is important to remember why. Most users on a website forum are lurkers meaning that trying to gather feedback on moderation policies has a biased sampling problem. The irony on likely not being able to leave another comment or engage in discussion is not lost on me.
At first, I thought getting soft-banned meant my "contributions" weren't valuable. For context, I study AI and integrate it into my... (read more)