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TPR & TNR by input augmentation (adv_a=i_FGSM, LPs=1, y/y'=y)

Notations

  • App_i: Approach i
  • Input_Aug: Input Augmentation

Implementation details

  • 5 perturbed inputs are generated per benign input
  • Input augmentation approach1 - append noise ~Uniform(lower_bound=-0.1, uppper_bound=0.1)
  • Input augmentation approach2 - append noise ~Normal(mean=0, std=0.1)
|S| |S1|/|S2| |P1| |P2| TNR TPR Input_Aug h
500 227/273 70.850 (9.358) 121.430 (15.163) 64.0 (4.3)% 34.5 (21.7)% None 1
3000 (500+2500) 1362/1638 289.090 (24.717) 644.110 (51.828) 68.0 (3.5)% 17.5 (12.0)% App_1 1
3000 (500+2500) 1362/1638 365.170 (40.151) 742.320 (93.065) 68.3 (3.6)% 14.8 (10.5)% App_2 1
1500 674/826 162.900 (24.819) 223.570 (38.956) 79.7 (4.3)% 65.2 (16.1)% None 1
9000 (1500+7500) 4044/4956 574.650 (82.479) 1090.800 (186.220) 83.7 (3.6)% 52.4 (17.2)% App_1 1
9000 (1500+7500) 4044/4956 682.920 (102.169) 1378.340 (216.134) 84.8 (3.4)% 45.9 (15.8)% App_2 1
3000 1364/1636 432.980 (93.588) 738.560 (175.844) 68.8 (6.5)% 98.2 (3)% None 1
18000 (3000+15000) 8185/9815 1226.650 (331.550) 3299.600 (682.530) 74.5 (5.8)% 92.7 (6.7)% App_1 1
18000 (3000+15000) 8185/9815 1548.330 (359.290) 3975.600 (833.274) 74.7 (5.5)% 89.2 (8.3)% App_2 1
500 227/273 99.480 (21.718) 141.360 (29.135) 59.1 (9.2)% 43.2 (21.9)% None 2
3000 (500+2500) 1362/1638 272.770 (63.876) 469.120 (152.296) 69.3 (7.3)% 28.2 (16.0)% App_1 2
3000 (500+2500) 1362/1638 338.890 (97.934) 584.250 (181.626) 68.0 (8.8)% 28.2 (14.9)% App_2 2
1500 674/826 200.250 (52.630) 262.800 (58.982) 77.7 (5.8)% 79.9 (19.8)% None 2
9000 (1500+7500) 4044/4956 524.450 (161.528) 914.390 (239.864) 82.9 (5.3)% 64.7 (22.9)% App_1 2
9000 (1500+7500) 4044/4956 651.990 (205.734) 1189.720 (363.669) 82.9 (5.8)% 58.7 (19.8)% App_2 2
3000 1364/1636 463.520 (100.624) 674.400 (170.379) 71.4 (6.6)% 99.1 (2.1)% None 2
18000 (3000+15000) 8185/9815 1205.820 (332.480) 2549.280 (701.297) 76.0 (6.3)% 95.6 (6.9)% App_1 2
18000 (3000+15000) 8185/9815 1427.990 (383.569) 3360.290 (995.905) 76.0 (7.4)% 91.7 (8.3)% App_2 2