Natural f-DP filters are invalid for adaptive composition, but a CLT-based GDP approximation gives tighter bounds than RDP for subsampled Gaussians when sampling rate is near 0 or 1.
Theorem 4.3.Under the above-mentioned limit conditions, the composition of subsampled Gaussian mechanisms given by Algorithm 2 satisfies the following privacy guarantees
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$f$-Differential Privacy Filters: Validity and Approximate Solutions
Natural f-DP filters are invalid for adaptive composition, but a CLT-based GDP approximation gives tighter bounds than RDP for subsampled Gaussians when sampling rate is near 0 or 1.