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Counterfactual Explanations for Oblique Decision Trees:Exact, Efficient Algorithms

AAAI 2021 · Learning theory and algorithms › Prediction and decision losses · approach: Compact interpretable model classes · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Search the continuous feature space exactly instead of restricting candidates to training and test instancesOblique tree counterfactuals · MNIST, Adult, Breast-Cancer, Spambase, Letter, German Creditℓ2 distance: MNIST: 53.50±17.24 -> 0.63±0.48; Adult: 3.4e4±1.2e5 -> 2.40±0.83; Breast: 0.86±0.49 -> 0.35±0.33; Spambase: 0.060±0.06 -Helped
Use exact optimization instead of Feature TweakingAxis-aligned tree counterfactuals · MNIST, Breast-Cancer, Spambase, Letter, German Creditℓ2 distance: MNIST: 1.48±1.09 -> 0.04±0.11; Breast: 0.36±0.19 -> 0.13±0.17; Spambase: 0.005±0.009 -> 1.7e---5±0.0; Letter: 0.22±0.13 Helped
Use exact optimization instead of Feature TweakingAxis-aligned tree counterfactuals · Adultℓ2 distance: 1.00±0.00 -> 2.05 ±0.31Hurt
Add user constraints on featuresOblique-tree counterfactuals · MNISTℓ2 distance: 0%: 0.63±0.48; 47%: 9.28±6.70Mixed
Add user constraints on featuresOblique-tree counterfactuals · Adultℓ2 distance: 0%: 2.40±0.83; 7%: 2.45±0.86; 14%: 2.49±0.97Mixed
Add user constraintsTraining & test set search · MNISTfeasible counterfactuals (%): 100 -> 0Hurt
Add user constraintsTraining & test set search · Breast-Cancerfeasible counterfactuals (%): 100 -> 17Hurt
Add user constraintsTraining & test set search · Spambasefeasible counterfactuals (%): 100 -> 17Hurt
Add user constraintsTraining & test set search · Letterfeasible counterfactuals (%): 100 -> 0Hurt
Add user constraintsFeature Tweaking · Adultfeasible counterfactuals (%): 28Hurt
Use ℓ1 rather than ℓ2 distanceOblique-tree counterfactuals · MNISTdistance: ℓ2: 0.63±0.48; ℓ1: 2.85±1.40Mixed
Use a general quadratic distance with neighboring-pixel interactionsMNIST counterfactual images · MNISTlocality of changed pixelsHelped

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