I think the update makes sense in general, isn’t there however some way mutual information and causality is linked? Maybe it isn’t strong enough for there to be an easy extrapolation from one to the other.
Also I just wanted to drop this to see if you find it interesting, kind of on this topic? Im not sure its fully defined in a causality based way but it is about structure preservation.
Yeah I’d like to know if there’s a unified way of thinking about information theoretic quantities and causal quantities, though a quick literature search doesn’t show up anything interesting. My guess is that we’d want separate boundary metrics for informational separation and causal separation.
I think the update makes sense in general, isn’t there however some way mutual information and causality is linked? Maybe it isn’t strong enough for there to be an easy extrapolation from one to the other.
Also I just wanted to drop this to see if you find it interesting, kind of on this topic? Im not sure its fully defined in a causality based way but it is about structure preservation.
https://youtu.be/1tT0pFAE36c?si=yv6mbswVpMiywQx9
Active Inference people also have the boundary problem as core in their work so they have some interesting stuff on it.
Yeah I’d like to know if there’s a unified way of thinking about information theoretic quantities and causal quantities, though a quick literature search doesn’t show up anything interesting. My guess is that we’d want separate boundary metrics for informational separation and causal separation.