This is a recurring sentiment but flawed, I think. First of all, neural nets do nit return averages per se. They construct space between the points and extrapolate outside of the points. So even if a point was not in their training data, they will be ok, in many situations, to acknowledge it. Or in other words - LLMs don’t average. They construct world models. A novel thing that fits their world model will be accepte…
> They construct space between the points and extrapolate outside of the points. They don't. They interpolate between the points on a manifold.
is the proof to the Riehmann hypothesis also somewhere on the manifold and we just need to prod the LLM with the right prompt so it locates the point?