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Noise Multiplier Calculation on DP-SGD Hyperparameter Configurations (train)

0.505Minimum Noise MultiplierBIS-MC (optimistic)
0.44160.869551.29751.72545May 8, 2026
Updated 5mo ago

Evaluation results

MethodLinks
BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.050.505
BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.050.506
RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.050.521
BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.050.521
BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.050.521
RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.050.534
PoissonTarget epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.050.56
BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.050.565
PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.050.566
BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.050.566
BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.050.576
BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.050.577
RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.050.583
RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.050.587
BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.050.588
BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.050.595
BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.050.596
RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.050.597
PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.050.606
PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.050.609
BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.050.61
PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.050.617
BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.050.638
BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.050.639
RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.050.654
BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.050.669
BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.050.688
PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.050.691
BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.050.694
BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.050.695
RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.050.702
PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.050.717
BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.050.736
BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.050.738
BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.050.738
BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.050.74
RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.050.748
RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.050.75
BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.050.772
PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.050.772
BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.050.773
BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.050.774
RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.050.78
PoissonTarget epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.050.787
PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.050.803
BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.050.805
BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.050.806
RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.050.817
BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.050.82
BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.050.822
RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.050.829
BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.050.837
BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.050.838
PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.050.84
RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.050.852
PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.050.855
BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=2344, Sample size (k)=302026.050.86
BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=6250, Sample size (k)=102026.050.874
PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.050.898
BIS-MC (optimistic)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.050.923
BIS-MC (certified)Target epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.050.924
RA-PLDTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.050.933
PoissonTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.050.961
BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.050.968
BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.050.97
BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=3906, Sample size (k)=502026.050.974
RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.050.981
BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1172, Sample size (k)=302026.051
BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=8.33 · 10−6, Number of iterations (T)=176, Sample size (k)=32026.051.02
PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.051.03
BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=52026.051.06
BIS-RDPTarget epsilon (ε)=8.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=1953, Sample size (k)=502026.051.15
BIS-MC (certified)Target epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.051.18
BIS-MC (optimistic)Target epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.051.18
BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=52026.051.19
RA-PLDTarget epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.051.19
BIS-MC (certified)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.051.2
BIS-MC (optimistic)Target epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.051.2
BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=781, Sample size (k)=102026.051.22
RA-PLDTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.051.22
PoissonTarget epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.051.22
PoissonTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.051.3
BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=391, Sample size (k)=102026.051.41
BIS-RDPTarget epsilon (ε)=3.0, Target delta (δ)=1.25 · 10−5, Number of iterations (T)=195, Sample size (k)=102026.051.69
BIS-RDPTarget epsilon (ε)=1.26, Target delta (δ)=10−5, Number of iterations (T)=1000, Sample size (k)=102026.052.09