Im not sure if i am echoing another post by shane legg (cant remember where).
Consider a three dimensional space (topography) and a preference ordering given by height.
An optimizer that climbs a “hill space” would seems intuitively less powerful than one that finds the highest peak in a “multi hill space”, even if relative to a random selection, and given that both spaces are the same size, both points are equally likely.
Im not sure if i am echoing another post by shane legg (cant remember where).
Consider a three dimensional space (topography) and a preference ordering given by height.
An optimizer that climbs a “hill space” would seems intuitively less powerful than one that finds the highest peak in a “multi hill space”, even if relative to a random selection, and given that both spaces are the same size, both points are equally likely.