Where you don’t have an opponent (or at least one that makes predictions), I’m with Eliezer: noise never helps at a fundamental level.
There is another case where noise helps- threshold effects. If you have as signal below a threshold, a bit of noise can push the signal up into the detectable region.
There is another case where noise helps- threshold effects. If you have as signal below a threshold, a bit of noise can push the signal up into the detectable region.
Do you mean stochastic resonance? If so, good example!
(If not, it’s still a good example—it’s just my good example. ;-)
Also, dithering.