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Robust Optimal Classification Trees against Adversarial Examples

AAAI 2022 · Adversarial robustness and security › Certified and empirical robustness · approach: Robustness to poisoning and multiple attacks · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
train robust trees with MILP and a GROOT warm startROCT · 8 datasets (aggregate)mean adversarial accuracy: .726 -> .735Helped
add a GROOT warm start to continuous-threshold MILP (ablation)ROCT MILP · 8 datasets (aggregate)mean adversarial accuracy: .720 -> .735Helped
add a GROOT warm start to binary-threshold MILP (ablation)ROCT Binary-MILP · 8 datasets (aggregate)mean adversarial accuracy: .714 -> .726Helped
use continuous rather than binary threshold variables, with GROOT initialization (ablation)ROCT · 8 datasets (aggregate)mean adversarial accuracy: .726 -> .735Helped
use continuous rather than binary threshold variables without warm start (ablation)ROCT · 8 datasets (aggregate)mean adversarial accuracy: .714 -> .720Helped
use LSU-MaxSAT rather than MILP-warm (ablation)ROCT · 8 datasets (aggregate)mean adversarial accuracy: .735 -> .729Hurt
use TREANT rather than MILP-warmrobust decision tree training · 8 datasets (aggregate)mean adversarial accuracy: .735 -> .692Hurt
use LSU-MaxSAT during early optimization rather than MILP-warmdepth-3 ROCT training · 8 datasets (mean over datasets)training misclassification percentage: approximately 10 and 100 seconds; approximately 1000 seconds; 30 minutesMixed
use GROOT rather than an optimal LSU-MaxSAT treerobust decision trees · training datasets, depth up to 2training adversarial accuracy ratio: 0.92; approximately 0.87No clear effect

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