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L1-loss minimization under approximate Differential Privacy on Scalar Queries

93.27L1 Loss Improvement (%)multi-Gaussian mixture
-4.271621.051746.37571.6983May 27, 2026
Updated 5mo ago

Evaluation results

MethodLinks
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=10−52026.0593.27
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=5 · 10−62026.0592.74
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=0.012026.0586.09
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=0.022026.0586.08
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=0.052026.0586.04
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=0.12026.0585.98
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=0.152026.0585.93
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=0.252026.0585.85
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=5 · 10−52026.0585.1
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=5 · 10−42026.0584.93
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=10−32026.0584.93
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=5 · 10−32026.0584.92
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=0.252026.0584.16
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=10−42026.0584.14
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=5 · 10−42026.0584.14
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=10−32026.0584.14
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=5 · 10−32026.0584.14
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=0.012026.0584.14
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=0.022026.0584.14
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=0.052026.0584.14
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=0.12026.0584.14
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=0.152026.0584.14
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=10−42026.0583.19
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=5 · 10−52026.0582.67
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=10−52026.0581.07
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=0.022026.0577.67
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=0.012026.0577.6
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=5 · 10−42026.0577.54
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=10−32026.0577.54
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=0.052026.0577.53
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=5 · 10−32026.0577.51
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=0.12026.0577.33
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=5 · 10−62026.0577.19
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=0.152026.0577.14
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=0.252026.0576.79
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=10−52026.0571.95
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=5 · 10−52026.0571.71
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=5 · 10−62026.0571.7
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=10−42026.0571.7
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=5 · 10−52026.0559.64
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=10−52026.0558.67
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=0.012026.0558.42
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=10−42026.0558.31
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=5 · 10−42026.0558.3
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=10−32026.0558.28
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=0.022026.0558.18
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=5 · 10−32026.0558.15
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=5 · 10−62026.0558.14
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=0.052026.0557.55
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=0.12026.0556.64
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=0.152026.0555.83
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=0.252026.0554.39
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=10−62026.0548.56
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=5 · 10−72026.0541.95
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=10−52026.0533.7
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=5 · 10−52026.0527.27
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=5 · 10−62026.0527.18
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=10−42026.0524.87
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=5 · 10−42026.0524.79
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=10−32026.0524.7
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=5 · 10−32026.0524.13
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=0.012026.0523.51
multi-Gaussian mixtureepsilon (ε)=10, delta (δ)=5 · 10−72026.0522.98
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=0.022026.0522.43
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=10−62026.0521.41
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=0.152026.0521.13
multi-Gaussian mixtureepsilon (ε)=4, delta (δ)=5 · 10−72026.0520.79
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=0.052026.0519.65
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=10−62026.0519.05
multi-Gaussian mixtureepsilon (ε)=3, delta (δ)=5 · 10−72026.0518.47
multi-Gaussian mixtureepsilon (ε)=5, delta (δ)=10−62026.0517.99
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=0.12026.0515.67
multi-Gaussian mixtureepsilon (ε)=2, delta (δ)=0.252026.0515.22
multi-Gaussian mixtureepsilon (ε)=1, delta (δ)=10−42026.056.22
multi-Gaussian mixtureepsilon (ε)=1, delta (δ)=5 · 10−42026.055.93
multi-Gaussian mixtureepsilon (ε)=1, delta (δ)=10−32026.055.62
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=0.252026.055.09
multi-Gaussian mixtureepsilon (ε)=1, delta (δ)=10−52026.054.13
multi-Gaussian mixtureepsilon (ε)=1, delta (δ)=5 · 10−52026.054.09
multi-Gaussian mixtureepsilon (ε)=1, delta (δ)=5 · 10−62026.053.99
multi-Gaussian mixtureepsilon (ε)=1, delta (δ)=0.252026.053.82
multi-Gaussian mixtureepsilon (ε)=1, delta (δ)=5 · 10−32026.053.76
multi-Gaussian mixtureepsilon (ε)=1, delta (δ)=0.012026.052.05
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=5 · 10−52026.051.95
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=10−52026.051.39
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=0.12026.051.21
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=5 · 10−62026.051.13
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=10−42026.050.95
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=0.022026.050.77
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=5 · 10−42026.050.76
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=10−32026.050.73
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=5 · 10−32026.050.45
multi-Gaussian mixtureepsilon (ε)=0.75, delta (δ)=0.012026.050.43
multi-Gaussian mixtureepsilon (ε)=0.5, delta (δ)=5 · 10−52026.050.13
multi-Gaussian mixtureepsilon (ε)=0.5, delta (δ)=10−42026.050.11
multi-Gaussian mixtureepsilon (ε)=0.5, delta (δ)=5 · 10−42026.05-0.08
multi-Gaussian mixtureepsilon (ε)=0.25, delta (δ)=5 · 10−32026.05-0.11
multi-Gaussian mixtureepsilon (ε)=0.5, delta (δ)=5 · 10−32026.05-0.21
multi-Gaussian mixtureepsilon (ε)=0.5, delta (δ)=10−32026.05-0.43
multi-Gaussian mixtureepsilon (ε)=0.25, delta (δ)=10−32026.05-0.52