From: DTA: distribution transform-based attack for query-limited scenario
\(\epsilon\) | Target Model | Methods | Attack success rate (%) | Avg. query number | Med. query number | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
100 | 200 | 300 | 400 | 500 | 100 | 200 | 300 | 400 | 500 | 100 | 200 | 300 | 400 | 500 | |||
8 | VGG-16 | Sign-OPT | – | – | 4.77 | 4.49 | 4.77 | – | – | 261.09 | 273.72 | 306.38 | – | – | 260.5 | 264 | 272.5 |
Bandits | 21.35 | 26.63 | 30.28 | 45.84 | 48.28 | 26.92 | 52.78 | 87.87 | 122.02 | 140.74 | 12 | 26 | 56 | 75 | 84 | ||
Rays | 13.18 | 24.72 | 35.53 | 45.58 | 48.25 | 70.41 | 114.20 | 159.00 | 202.66 | 235.97 | 72 | 110 | 152 | 199 | 229 | ||
Tangent | 4.63 | 4.91 | 5.47 | 4.77 | 5.61 | 19.56 | 39.27 | 34.04 | 69.47 | 27.10 | 11 | 11 | 11 | 11 | 11 | ||
TA | 23.70 | 26.23 | 27.35 | 28.61 | 28.47 | 21.04 | 31.01 | 40.86 | 56.43 | 53.12 | 11 | 16 | 18 | 18 | 18 | ||
CGBA | 5.89 | 9.68 | 12.90 | 18.23 | 22.16 | 75.98 | 103.77 | 145.72 | 205.66 | 246.06 | 93.5 | 98 | 155 | 191.5 | 232 | ||
Ours | 24.86 | 28.37 | 33.06 | 39.79 | 44.21 | 9.98 | 28.01 | 25.06 | 43.20 | 44.46 | 2 | 3 | 3 | 4 | 4 | ||
MobileNetv2 | Sign-OPT | – | – | 6.34 | 6.90 | 7.61 | – | – | 265.78 | 269.82 | 279.50 | – | – | 264 | 269 | 267.5 | |
Bandits | 28.17 | 28.38 | 36.49 | 33.85 | 39.68 | 23.83 | 51.22 | 85.94 | 112.80 | 131.95 | 6 | 17 | 42 | 64 | 67 | ||
Rays | 20.14 | 29.44 | 33.86 | 45.15 | 61.35 | 65.73 | 95.56 | 150.64 | 194.50 | 220.72 | 60 | 83 | 134 | 196 | 224 | ||
Tangent | 5.92 | 6.20 | 7.32 | 5.49 | 6.76 | 14.35 | 23.00 | 18.22 | 26.93 | 42.14 | 11 | 11 | 11 | 11 | 11 | ||
TA | 22.54 | 24.37 | 24.93 | 26.48 | 27.46 | 20.12 | 37.42 | 42.45 | 49.54 | 65.22 | 10 | 12 | 11 | 14 | 18 | ||
CGBA | 5.21 | 8.87 | 12.54 | 17.32 | 19.15 | 59.16 | 91.32 | 138.74 | 192.17 | 215.53 | 45 | 95 | 104 | 162 | 165 | ||
Ours | 29.77 | 35.64 | 38.94 | 47.71 | 49.82 | 10.08 | 24.51 | 35.06 | 31.71 | 40.36 | 2 | 3 | 4 | 3 | 3 | ||
ShuffleNetv2 | Sign-OPT | – | – | 7.03 | 8.17 | 9.80 | – | – | 264.16 | 266.86 | 313.85 | – | – | 262 | 262 | 273 | |
Bandits | 46.08 | 48.63 | 53.46 | 57.74 | 61.54 | 25.14 | 46.79 | 64.81 | 80.80 | 105.21 | 8 | 18 | 26 | 29 | 40 | ||
Rays | 30.61 | 47.71 | 58.27 | 60.98 | 69.61 | 64.88 | 100.25 | 129.83 | 152.97 | 173.68 | 60 | 90.5 | 109 | 127 | 141 | ||
Tangent | 8.01 | 8.66 | 8.01 | 8.33 | 8.17 | 12.69 | 24.27 | 27.62 | 28.17 | 57.64 | 11 | 11 | 11 | 11 | 11 | ||
TA | 32.35 | 36.11 | 38.56 | 40.36 | 41.99 | 22.46 | 31.78 | 41.78 | 47.26 | 56.74 | 10.05 | 10 | 15 | 19 | 18 | ||
CGBA | 7.84 | 13.56 | 18.14 | 23.53 | 27.94 | 72.75 | 117.12 | 155.18 | 194.99 | 241.50 | 93 | 106 | 157 | 160 | 228 | ||
Ours | 50.82 | 53.76 | 58.74 | 61.21 | 65.88 | 7.73 | 12.11 | 17.44 | 19.97 | 31.31 | 1 | 2 | 2 | 2 | 2 | ||
16 | VGG-16 | Sign-OPT | – | – | 7.43 | 9.40 | 10.94 | – | – | 258.72 | 274.02 | 289.83 | – | – | 257 | 270 | 269 |
Bandits | 47.14 | 63.64 | 60.94 | 58.11 | 76.06 | 26.36 | 46.69 | 66.86 | 83.26 | 107.32 | 14 | 24 | 30 | 32 | 44 | ||
Rays | 29.92 | 45.14 | 61.34 | 69.61 | 74.16 | 69.80 | 106.72 | 144.76 | 168.45 | 195.82 | 72 | 101 | 131 | 148.5 | 163 | ||
Tangent | 11.78 | 11.78 | 11.64 | 12.90 | 13.60 | 17.76 | 31.93 | 36.09 | 52.86 | 57.12 | 11 | 11 | 11 | 11 | 11 | ||
TA | 53.72 | 60.45 | 61.29 | 59.19 | 61.99 | 15.12 | 25.61 | 36.08 | 36.19 | 42.51 | 8 | 10 | 13 | 10 | 10 | ||
CGBA | 10.80 | 16.83 | 24.26 | 31.98 | 36.47 | 66.95 | 95.88 | 141.29 | 194.05 | 227.48 | 54 | 96 | 151 | 163 | 224 | ||
Ours | 64.97 | 67.44 | 70.79 | 71.20 | 78.84 | 9.05 | 11.95 | 18.09 | 17.83 | 28.58 | 1 | 1 | 1 | 1 | 1 | ||
MobileNetv2 | Sign-OPT | – | – | 10.56 | 11.13 | 13.52 | – | – | 264.23 | 272.06 | 294.81 | – | – | 263 | 268 | 269 | |
Bandits | 34.85 | 42.42 | 52.31 | 56.84 | 68.12 | 23.65 | 47.20 | 66.63 | 87.53 | 115.71 | 10 | 14 | 20 | 27 | 42 | ||
Rays | 20.14 | 29.44 | 43.86 | 55.15 | 61.35 | 65.73 | 95.56 | 150.64 | 194.50 | 220.72 | 60 | 93 | 134 | 196 | 224 | ||
Tangent | 11.69 | 12.25 | 12.25 | 12.96 | 14.08 | 15.97 | 21.68 | 39.32 | 42.07 | 77.54 | 11 | 11 | 11 | 11 | 11 | ||
TA | 46.48 | 48.87 | 50.85 | 51.13 | 52.39 | 20.66 | 29.80 | 36.10 | 40.07 | 51.54 | 7 | 11 | 11 | 12 | 14 | ||
CGBA | 10.99 | 15.77 | 20.85 | 26.34 | 31.97 | 55.63 | 82.38 | 113.97 | 167.17 | 209.34 | 45 | 52.5 | 95.5 | 153 | 161 | ||
Ours | 54.81 | 58.02 | 59.39 | 60.92 | 63.74 | 9.75 | 15.63 | 23.40 | 24.62 | 26.46 | 1 | 1 | 1 | 1 | 1 | ||
ShuffleNetv2 | Sign-OPT | – | – | 15.69 | 17.49 | 19.94 | – | – | 266.94 | 270.48 | 306.49 | – | – | 268 | 267 | 277.5 | |
Bandits | 43.33 | 46.65 | 55.85 | 64.70 | 72.83 | 19.71 | 33.76 | 44.29 | 55.39 | 64.94 | 10 | 12 | 12 | 14 | 16 | ||
Rays | 30.08 | 37.69 | 43.01 | 48.40 | 61.50 | 59.76 | 89.20 | 112.59 | 127.91 | 139.31 | 57 | 75 | 84 | 96 | 102.5 | ||
Tangent | 23.20 | 22.39 | 22.88 | 23.69 | 23.37 | 17.01 | 33.34 | 32.24 | 50.87 | 52.71 | 11 | 11 | 11 | 11 | 11 | ||
TA | 43.73 | 46.99 | 50.59 | 53.26 | 64.02 | 15.23 | 22.92 | 31.56 | 29.37 | 42.94 | 5 | 6 | 6 | 6 | 8 | ||
CGBA | 14.38 | 22.39 | 32.35 | 37.58 | 42.81 | 71.03 | 94.04 | 13.76 | 180.45 | 214.59 | 91.5 | 95 | 131 | 157 | 218 | ||
Ours | 47.31 | 54.85 | 58.21 | 66.54 | 71.67 | 8.18 | 12.51 | 22.28 | 26.80 | 33.01 | 1 | 1 | 1 | 1 | 1 |