Distinguishing Two Probability Ensembles with One Sample from each Ensemble

Luís Antunes, Harry Buhrman, Armando Matos, André Souto, Andreia Teixeira
2015 Theory of Computing Systems  
We introduced a new method for distinguishing two probability ensembles called one from each method, in which the distinguisher receives as input two samples, one from each ensemble. We compare this new method with multi-sample from the same method already exiting in the literature and prove that there are ensembles distinguishable by the new method, but indistinguishable by the multi-sample from the same method. To evaluate the power of the proposed method we also show that if non-uniform
more » ... nguishers (probabilistic circuits) are used, the one from each A very preliminary version of this paper appeared in
doi:10.1007/s00224-015-9661-1 fatcat:n5rno2g3nfe55nat2wtuyeglom