We show that differential privacy type guarantees can be obtained when using a Poisson synthesis mechanism to protect counts in
contingency tables. Specifically, we show how to obtain (ϵ, δ)-probabilistic
differential privacy guarantees via the Poisson distribution’s cumulative
distribution function). We demonstrate this Poisson synthesis mechanism
empirically with the synthesis of the ESCrep data set, an administrativetype database that resembles the English School Census.