Before revision:  Surprisingly, we show that when the number of point sources becomes large, there is a phase transition where the sample complexity goes from polynomial to exponential , and we pin down its location to within a universal constant that is independent of the number of point sources.
After revision:  Surprisingly, we show that there is a phase transition where the sample complexity goes from polynomial to exponential , and we pin down its location to within a universal constant that is independent of the number of point sources.