Noise Multiplier Calculation on DP-SGD Hyperparameter Configurations (train)
0.505Minimum Noise MultiplierBIS-MC (optimistic)
Evaluation Results
| Method | Links | |
|---|---|---|
| BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 0.505 | |
| BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 0.506 | |
| RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 0.521 | |
| BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 0.521 | |
| BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 0.521 | |
| RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 0.534 | |
| PoissonTarget epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 0.56 | |
| BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 0.565 | |
| PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 0.566 | |
| BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 0.566 | |
| BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 0.576 | |
| BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 0.577 | |
| RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 0.583 | |
| RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 0.587 | |
| BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 0.588 | |
| BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.05 | 0.595 | |
| BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.05 | 0.596 | |
| RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.05 | 0.597 | |
| PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 0.606 | |
| PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.05 | 0.609 | |
| BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 0.61 | |
| PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 0.617 | |
| BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 0.638 | |
| BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 0.639 | |
| RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 0.654 | |
| BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 0.669 | |
| BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 0.688 | |
| PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 0.691 | |
| BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.05 | 0.694 | |
| BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.05 | 0.695 | |
| RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.05 | 0.702 | |
| PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.05 | 0.717 | |
| BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 0.736 | |
| BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 0.738 | |
| BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 0.738 | |
| BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 0.74 | |
| RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 0.748 | |
| RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 0.75 | |
| BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 0.772 | |
| PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 0.772 | |
| BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.05 | 0.773 | |
| BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.05 | 0.774 | |
| RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.05 | 0.78 | |
| PoissonTarget epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 0.787 | |
| PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.05 | 0.803 | |
| BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.05 | 0.805 | |
| BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.05 | 0.806 | |
| RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.05 | 0.817 | |
| BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 0.82 | |
| BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 0.822 | |
| RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 0.829 | |
| BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 0.837 | |
| BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 0.838 | |
| PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.05 | 0.84 | |
| RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 0.852 | |
| PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 0.855 | |
| BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.05 | 0.86 | |
| BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.05 | 0.874 | |
| PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 0.898 | |
| BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.05 | 0.923 | |
| BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.05 | 0.924 | |
| RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.05 | 0.933 | |
| PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.05 | 0.961 | |
| BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 0.968 | |
| BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 0.97 | |
| BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.05 | 0.974 | |
| RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 0.981 | |
| BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.05 | 1 | |
| BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.05 | 1.02 | |
| PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 1.03 | |
| BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.05 | 1.06 | |
| BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.05 | 1.15 | |
| BIS-MC (certified)Target epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.05 | 1.18 | |
| BIS-MC (optimistic)Target epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.05 | 1.18 | |
| BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.05 | 1.19 | |
| RA-PLDTarget epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.05 | 1.19 | |
| BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.05 | 1.2 | |
| BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.05 | 1.2 | |
| BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.05 | 1.22 | |
| RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.05 | 1.22 | |
| PoissonTarget epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.05 | 1.22 | |
| PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.05 | 1.3 | |
| BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.05 | 1.41 | |
| BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.05 | 1.69 | |
| BIS-RDPTarget epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.05 | 2.09 |