Table 5.

The lowest MSE for the existing method and the enhancements which were tested on MS-FIMU dataset

Method	ε = ln(2)	ε = ln(3)	ε = ln(4)	ε = ln(5)	ε = ln(6)	ε = ln(7)
RS + FD[ADP]	0.000108	5.59E−05	4.64E−05	4.40E−05	3.37E−05	2.97E−05
RAPPOR	0.000207	8.86E−05	8.01E−05	5.29E−05	5.78E−05	4.75E−05
Hadamard response	0.004249	0.001295	0.000635	0.00037	0.000263	0.000187
Sarve	0.000105	6.73E−05	4.78E−05	4.41E−05	3.20E−05	2.72E−05

Method	ε = 2	ε = 3	ε = 4	ε = 5	ε = 6	ε = 7
RS + FD[ADP]	2.02E−05	1.12E−05	5.87E−06	3.90E−06	4.35E−06	3.10E−06
RAPPOR	4.87E−05	2.28E−05	1.23E−05	8.58E−06	5.73E−06	4.91E−06
Hadamard response	0.000164	3.79E−05	1.88E−05	1.13E−05	1.72E−05	1.78E−05
Sarve	2.50E−05	9.78E−06	6.81E−06	4.64E−06	4.66E−06	3.21E−06

The values in bold indicate privacy conditions when Sarve performed better than adaptive RS+FD and resulted in lower MSE between real and post-privatization estimated frequencies