Regarding the first problem: are you looking at NCP maps for non-Markovian processes given you mention C*-algebra? Or is it more of a continuous weak monitoring of a stochastic system that results in dynamics with memory effects?
replyI'd be very curious to know how any LLMs fare. I completely understand if you don't want to continue the discussion because of anonymity reasons.
It would be wonderful to have a deeper insight, but I understand that you can disclose your identity (I understand that you work in applied research field, right ? )
replyYes, I do mostly applied work, but I come from a background in pure probability so I sometimes dabble in the fundamental stuff when the mood strikes.
replyHappy to try to answer more specific questions if anyone has any, but yes, these are among my active research projects so there's only so much I can say.