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Exact RDP of the sampled Gaussian mechanism at an integer order

Usage

morie_rdp_sampled_gaussian(alpha, q, sigma)

Arguments

alpha

Renyi order, an integer greater than 1.

q

Sampling rate in (0, 1].

sigma

Noise multiplier for a sensitivity-1 function.

Value

The RDP epsilon at alpha.

References

Mironov, Talwar & Zhang (2019), arXiv:1908.10530.

Examples

morie_rdp_sampled_gaussian(2, 0.01, 1.0)
#> [1] 0.0001718134