This makes a lot of sense, Thanks for highlighting the need to define value more explicitly. I’ll have a look into this stuff!
on the math point—I don’t think that IV would be continuous is the problem, but in general this would mean the noise is present in both frameworks! The case of x^2 sin(1/x) shows the integral of a function with a discontinuity is not necessarily discontinuous but in general discontinuous functions would have a discontinuous integral so the noise doesn’t distinguish the frameworks.
Thank you!
I am strongly considering a career in research and I wondered if you could elaborate more on this benefit of running an EA group as an early career move. I can see that connections and contacts would be useful, but the day-to-day work involved in running an EA group feels very far-removed from the skills and day-to-day work of research. Any advice on this would be great as I am considering running an EA group in Durham University next year!