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Research map / Adversarial robustness and security / Certified and empirical robustness

Provably Robust Metric Learning

NeurIPS 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Theory of adversarial risk · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Learn the Mahalanobis metric by optimizing a lower bound on adversarial perturbation1-NN metric learning · MNISTcertified robust error at ℓ2 radius 0.500: 0.112 -> 0.089Helped
Learn the Mahalanobis metric by optimizing a lower bound on adversarial perturbation1-NN metric learning · Fashion-MNISTcertified robust error at ℓ2 radius 0.500: 0.381 -> 0.348Helped
Learn the Mahalanobis metric by optimizing a lower bound on adversarial perturbation1-NN metric learning · Splicecertified robust error at ℓ2 radius 0.200: 0.404 -> 0.370Helped
Learn the Mahalanobis metric by optimizing a lower bound on adversarial perturbationK-NN metric learning · MNISTcertified robust error at ℓ2 radius 0.500: 0.175 -> 0.101Helped
Learn the Mahalanobis metric by optimizing a lower bound on adversarial perturbationK-NN metric learning · MNISTempirical robust error at ℓ2 radius 0.500: 0.063 -> 0.055Helped
Learn the Mahalanobis metric by optimizing a lower bound on adversarial perturbationK-NN metric learning · Fashion-MNISTcertified robust error at ℓ2 radius 0.500: 0.420 -> 0.371Helped
Learn the Mahalanobis metric by optimizing a lower bound on adversarial perturbationK-NN metric learning · Splicecertified robust error at ℓ2 radius 0.200: 0.415 -> 0.345Helped
Use neighborhood size 10 for sampling positive and negative instancesARML · Splice and Satimagecertified and empirical robust errorsNo clear effect
Use NCA or LMNN metric learning instead of Euclidean distance1-NN and K-NN · Most evaluated datasetscertified robust errorHurt
Use ARML instead of previous metric learning methods1-NN metric learning · Evaluated datasetsclean error: best on 4/6Mixed

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