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A Scalable MIP-based Method for Learning Optimal Multivariate Decision Trees

NeurIPS 2020 · Learning theory and algorithms › Combinatorial and search optimization · approach: Predict-then-optimize learning · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use SVM1-ODT MIP instead of CARTdepth-2 decision tree · UCI medium datasetstest accuracy: 92.4 -> 98.6 (Iris)Helped
use SVM1-ODT instead of OCT-Hdepth-2 decision tree · UCI medium datasetstest accuracy: 94.4 -> 98.6 (Iris)Helped
use SVM1-ODT instead of Fair MIPdepth-2 decision tree · Hayes-rothtest accuracy: 72.2 vs 71.9No clear effect
use depth 3 SVM1-ODT instead of CARTmulti-class (>4) datasets · Dermatologytest accuracy: 76.1 -> 98.9Helped
use SVM1-ODT instead of Fairdepth-3 tree · Heart-diseasetest accuracy: 47.2 -> 65.3Helped
add LP-based data selection to SVM1-ODT (ablation)SVM1-ODT · large datasets (7k-245k samples)test accuracyHelped
train plain MIP (OCT-H/S1O) on large data without data selection (ablation)MIP ODT · large datasetstest accuracyNo clear effect

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