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Mason Porter on Community Detection and Data Topology
COMPLEXITY
Interactions Between Polyadic Objects
In any event, so we're representing something in a mathematical object that even when we include a bunch of these nuances, nonparwise interactions and so on is a much simpler thing than reality; it's a gross simplification of reality./nYou always have to worry that when you get reality and then you get data from reality, which is already making certain simplifications, that you then turn into a mathematical object that you study, and that there's this thing of "if I turn into a mathematical object, I can say that potentially I am making a precise statement about the mathematical object although even then there's approximations."./nHowever, let's suppose that you're doing that now, and you've made a precise statement about the mathematical object, and you want to turn that statement and imply something about the real world, even though the mathematical object is a simplification of the real world. You have to worry because there are artifactual things that occur by choosing to have represented something in a certain way./nHowever, hope is that something that you then say about this object, hopefully can tell you also something about the more complicated thing, which is representing./nWhen you do something like these pairwise interactions, we know more about how to study them mathematically, so we spend a lot of time on them./nAdditionally, when you make efforts to generalize, you might want to consider polyadic interactions, which are three plus interactions,.
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